Details

analyze596.0ms (4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
23.4%	23.4%	76.4%	0.2%	0%	0%	0%	11
30.5%	30.4%	69.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.4s (9.7%)

Results

1.3s	8095×	body	256	valid
83.0ms	596×	body	256	infinite
29.0ms	83×	body	1024	valid
17.0ms	77×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess44.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1004×	`distribute-lft-in`
966×	`distribute-rgt-in`
854×	`fma-def`
642×	`*-commutative`
542×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	315
1	245	287
2	718	287
3	2014	287
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 y (.f64 (.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))))
(+.f64 z (.f64 (.f64 y x) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(+.f64 t (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(+.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(+.f64 x (.f64 (.f64 t z) (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))))
(+.f64 x (.f64 (.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))))

Outputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(+.f64 y (.f64 (.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))))
(+.f64 y (.f64 x (.f64 z (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x))))))
(fma.f64 (*.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x))) y)
(+.f64 z (.f64 (.f64 y x) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(+.f64 z (.f64 (.f64 x y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(fma.f64 y (*.f64 x (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))) z)
(+.f64 t (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) t)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) t)
(+.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z))) x)
(+.f64 x (.f64 (.f64 t z) (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))))
(+.f64 x (.f64 t (.f64 z (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t))))))
(fma.f64 t (*.f64 z (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))) x)
(fma.f64 z (*.f64 t (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))) x)
(+.f64 x (.f64 (.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 y (.f64 t (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 y (*.f64 t (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1142×	`associate--r-`
848×	`associate--l-`
674×	`distribute-lft-in`
564×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	57	41
2	156	41
3	379	41
4	1400	41
5	6089	41

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Outputs

(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)

eval1.0ms (0%)

Compiler: Compiled 47 to 15 computations (68.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

3.15%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.16%	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
▶	9.38%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 37 to 23 computations (37.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(tanh.f64 (/.f64 x y))
✓	0.01%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	0.38%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	8.99%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 62 to 12 computations (80.6% saved)

series52.0ms (0.4%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms	z	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms	y	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms	y	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms	y	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite147.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`associate-/l*`
878×	`associate-/r/`
402×	`add-sqr-sqrt`
396×	`pow1`
396×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	122
1	358	118
2	5568	118

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(tanh.f64 (/.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))) (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z)) (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (.f64 y z)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 (/.f64 t y)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 (/.f64 t y)) (+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 1 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 (/.f64 t y)) (+.f64 (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 1) (fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 1 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 (/.f64 t y)) (+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (tanh.f64 (/.f64 x y)))) (sqrt.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 (/.f64 t y)) (+.f64 (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (tanh.f64 (/.f64 x y)))) (sqrt.f64 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simplify358.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-r`
1298×	`+-commutative`
1106×	`*-commutative`
1074×	`associate-l`
930×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	975	45055
1	3285	43919

Stop Event

1×	node limit

Counts

371 → 515

Calls

Call 1

Inputs
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(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (/.f64 (.f64 2 (cosh.f64 (/.f64 x y))) (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 x y))))))
(/.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x))) (cbrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (cbrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 x y))))) (/.f64 (.f64 2 (cosh.f64 (/.f64 x y))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (neg.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 2 y) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(pow.f64 (tanh.f64 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (tanh.f64 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 2))
(log.f64 (exp.f64 (tanh.f64 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))
(exp.f64 (log.f64 (tanh.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))

Outputs
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 z (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (.f64 y z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 z (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
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(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
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(*.f64 z (-.f64 t x))
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(+.f64 (.f64 z (-.f64 t x)) (/.f64 z (/.f64 y (+.f64 (.f64 (.f64 t t) 0) (.f64 (*.f64 x x) 0)))))
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(.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z))
(.f64 (neg.f64 z) (.f64 -1 (-.f64 t x)))
(.f64 z (.f64 1 (-.f64 t x)))
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(fma.f64 -1 (.f64 z (.f64 -1 (-.f64 t x))) (/.f64 (.f64 z (.f64 1/2 (-.f64 (.f64 0 (.f64 t t)) (.f64 0 (.f64 x x))))) y))
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(.f64 (/.f64 (expm1.f64 (.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) 3))) (+.f64 (.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (pow.f64 (exp.f64 2) (/.f64 x y))) (-.f64 1 (.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) 1))))
(.f64 (/.f64 (expm1.f64 (.f64 x (/.f64 2 y))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) 3))) (+.f64 (pow.f64 (exp.f64 2) (*.f64 2 (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(.f64 (/.f64 (expm1.f64 (.f64 x (/.f64 2 y))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) 3))) (+.f64 (pow.f64 (exp.f64 2) (*.f64 (/.f64 x y) 2)) (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (-.f64 1 (.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (pow.f64 (exp.f64 -2) (/.f64 x y))))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 2 (/.f64 x y))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (/.f64 x y) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) 3))) (+.f64 1 (-.f64 (.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (pow.f64 (exp.f64 -2) (/.f64 x y))) (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 -2) (.f64 2 (/.f64 x y))) (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 -2) (.f64 (/.f64 x y) 2)) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) 3)))
(/.f64 1 (/.f64 1 (tanh.f64 (/.f64 x y))))
(tanh.f64 (/.f64 x y))
(/.f64 (.f64 2 (sinh.f64 (/.f64 x y))) (.f64 2 (cosh.f64 (/.f64 x y))))
(.f64 (.f64 2 (sinh.f64 (/.f64 x y))) (/.f64 1/2 (cosh.f64 (/.f64 x y))))
(*.f64 1 (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (sinh.f64 (/.f64 x y))))
(.f64 (.f64 2 (sinh.f64 (/.f64 x y))) (/.f64 1/2 (cosh.f64 (/.f64 x y))))
(*.f64 1 (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))
(/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))
(/.f64 (expm1.f64 (*.f64 x (/.f64 2 y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (sqrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (sqrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x)))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x (/.f64 2 y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (sqrt.f64 (expm1.f64 (*.f64 x (/.f64 2 y)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x (/.f64 2 y)))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x (/.f64 2 y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (/.f64 (.f64 2 (cosh.f64 (/.f64 x y))) (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 x y))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (.f64 2 (cosh.f64 (/.f64 x y)))) (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x))) (cbrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (cbrt.f64 (expm1.f64 (.f64 (/.f64 2 y) x)))))
(/.f64 (cbrt.f64 (expm1.f64 (.f64 x (/.f64 2 y)))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (cbrt.f64 (expm1.f64 (.f64 x (/.f64 2 y))))) (cbrt.f64 (expm1.f64 (*.f64 x (/.f64 2 y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 x y))))) (/.f64 (.f64 2 (cosh.f64 (/.f64 x y))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 x y))))))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (/.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 x y))) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 x y))))) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (neg.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (.f64 -2 (sinh.f64 (/.f64 x y))) (.f64 -2 (cosh.f64 (/.f64 x y))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 2 y) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (/.f64 2 y)))) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (/.f64 2 y)))) (-.f64 -1 (pow.f64 (exp.f64 2) (/.f64 x y))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (-.f64 -1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(pow.f64 (tanh.f64 (/.f64 x y)) 1)
(tanh.f64 (/.f64 x y))
(pow.f64 (sqrt.f64 (tanh.f64 (/.f64 x y))) 2)
(tanh.f64 (/.f64 x y))
(pow.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) 3)
(tanh.f64 (/.f64 x y))
(pow.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) 1/3)
(tanh.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 2))
(log.f64 (exp.f64 (tanh.f64 (/.f64 x y))))
(tanh.f64 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (/.f64 x y)))))
(tanh.f64 (/.f64 x y))
(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3))
(tanh.f64 (/.f64 x y))
(expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))
(tanh.f64 (/.f64 x y))
(exp.f64 (log.f64 (tanh.f64 (/.f64 x y))))
(tanh.f64 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 x y))) 1))
(tanh.f64 (/.f64 x y))
(log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))
(tanh.f64 (/.f64 x y))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(tanh.f64 (/.f64 x y))
✓	0.02%	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
	0.38%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	3.18%	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 56 to 11 computations (80.4% saved)

series56.0ms (0.4%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
38.0ms	z	@	-inf	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
2.0ms	y	@	0	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms	y	@	-inf	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms	x	@	-inf	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	y	@	-inf	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`associate-/l*`
780×	`associate-/r/`
386×	`add-sqr-sqrt`
380×	`pow1`
380×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	346	74
2	5136	74

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (tanh.f64 (/.f64 t y))) (.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))) (.f64 y (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tanh.f64 (/.f64 t y)) y) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (.f64 (tanh.f64 (/.f64 t y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) y) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) y) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))))
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (sqrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 2) (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))))

simplify226.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1130×	`fma-def`
678×	`associate-+l-`
670×	`+-commutative`
668×	`associate-+r-`
550×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	26741
1	1484	14981
2	6964	7717

Stop Event

1×	node limit

Counts

137 → 182

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) y)
(.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) y)
(.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) y)
(.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) y)
(-.f64 t x)
(-.f64 (+.f64 t (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) x))
(-.f64 (+.f64 t (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)) (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))) x))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 -1/2 (pow.f64 x 3))) x) (pow.f64 y 3))) (+.f64 t (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)) (.f64 -1/6 (pow.f64 t 4))))) (pow.f64 y 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3)))) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4))))) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))) x)))))))
(.f64 -1 (-.f64 (.f64 -1 t) (*.f64 -1 x)))
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x
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Outputs
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(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 2)
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 3)
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 3) 1/3)
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 2))
(fabs.f64 (fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))
(fabs.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 3))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (.f64 (log.f64 (fma.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 1))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

eval878.0ms (5.9%)

Compiler: Compiled 49500 to 22097 computations (55.4% saved)

prune724.0ms (4.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	982	12	994
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	982	14	996

Error

0.32%

Counts

996 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	34.14%	(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
✓	3.16%	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
▶	19.66%	(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) x)
▶	50.4%	(+.f64 (*.f64 (-.f64 t x) z) x)
	64.83%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
	37.1%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))))
	43.41%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	9.38%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
▶	9.37%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y)))))))
	70.4%	(+.f64 x (.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (.f64 2 (cosh.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 2 (cosh.f64 (/.f64 x y)))))))
▶	69.09%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
▶	77.6%	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
	79.09%	(.f64 y (.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z))
	37.74%	x

Compiler

Compiled 504 to 315 computations (37.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y)))))))
✓	0.38%	(-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y)))))
✓	0.45%	(expm1.f64 (tanh.f64 (/.f64 x y)))
✓	8.99%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series53.0ms (0.4%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
36.0ms	z	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))))
1.0ms	y	@	inf	(expm1.f64 (tanh.f64 (/.f64 x y)))
1.0ms	y	@	-inf	(expm1.f64 (tanh.f64 (/.f64 x y)))
1.0ms	y	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))))
1.0ms	y	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))))

rewrite152.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`associate-/l*`
422×	`add-sqr-sqrt`
416×	`*-un-lft-identity`
414×	`pow1`
392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	126
1	394	122
2	5795	122

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

Inputs
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))))
(expm1.f64 (tanh.f64 (/.f64 x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y)))))))

Outputs
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simplify355.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`+-commutative`
1056×	`associate-+r+`
966×	`associate-r`
846×	`*-commutative`
828×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	876	40872
1	2827	39786

Stop Event

1×	node limit

Counts

328 → 430

Calls

Call 1

Inputs
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(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 z (-.f64 t x))
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(.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

Outputs
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(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2)))) (-.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 2))) (/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 2))) (/.f64 (-.f64 x (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)))) (/.f64 (fma.f64 x x (.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)))) (fma.f64 x x (.f64 y (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (neg.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 3))) (/.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2) (.f64 x x)) (-.f64 (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2) (.f64 x x)) (fma.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 2) (.f64 x x)) (-.f64 (.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2))) (neg.f64 (-.f64 x (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 2))) (-.f64 (.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))) (neg.f64 (fma.f64 x x (.f64 y (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (neg.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) 3))) (neg.f64 (fma.f64 x x (.f64 y (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) x))))))
(pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 1)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 2)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 3)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 3) 1/3)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 2))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 3))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (log.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 1))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 1 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 1 x (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)))
(fma.f64 1 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (sqrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (sqrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) x)
(+.f64 (pow.f64 (sqrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 2) x)
(+.f64 x (pow.f64 (sqrt.f64 (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y))) 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 2) (cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 z (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (-.f64 t x) z)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series23.0ms (0.2%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	t	@	-inf	(*.f64 (-.f64 t x) z)
0.0ms	x	@	-inf	(*.f64 (-.f64 t x) z)
0.0ms	t	@	inf	(*.f64 (-.f64 t x) z)
0.0ms	z	@	0	(*.f64 (-.f64 t x) z)
0.0ms	z	@	inf	(*.f64 (-.f64 t x) z)

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`add-sqr-sqrt`
1646×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	2001	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (-.f64 t x) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z t) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) z) (+.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) z) (fma.f64 t t (*.f64 x (+.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 t x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 t x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 t x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 t x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 t x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 t x) z)))))))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
1196×	`associate-*r/`
862×	`associate-r`
758×	`associate-l`
566×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	611
1	157	611
2	452	611
3	2952	611
4	6625	611

Stop Event

1×	node limit

Counts

43 → 29

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 z t) (.f64 z (neg.f64 x)))
(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) z))) 1)
(/.f64 (.f64 z (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))
(/.f64 (.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 t x))))
(/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x))
(/.f64 (.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) z) (fma.f64 t t (.f64 x (+.f64 t x))))
(pow.f64 (*.f64 (-.f64 t x) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) z)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 t x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 t x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 t x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 t x) z)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 t x) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 t x) z)))

Outputs
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 z t) (.f64 z (neg.f64 x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))
(*.f64 z (-.f64 t x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) z))) 1)
(*.f64 z (-.f64 t x))
(/.f64 (.f64 z (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))
(*.f64 z (-.f64 t x))
(/.f64 (.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 t x))))
(/.f64 (.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 x t))))
(.f64 (/.f64 z (fma.f64 t t (.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(.f64 z (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x t) (.f64 t t))))
(.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 z (fma.f64 x x (.f64 t (+.f64 x t)))))
(/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x))
(*.f64 z (-.f64 t x))
(/.f64 (.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) z) (fma.f64 t t (.f64 x (+.f64 t x))))
(/.f64 (.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 x t))))
(.f64 (/.f64 z (fma.f64 t t (.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(.f64 z (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x t) (.f64 t t))))
(.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 z (fma.f64 x x (.f64 t (+.f64 x t)))))
(pow.f64 (*.f64 (-.f64 t x) z) 1)
(*.f64 z (-.f64 t x))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) 2)
(*.f64 z (-.f64 t x))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) z)) 3)
(*.f64 z (-.f64 t x))
(pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) 1/3)
(*.f64 z (-.f64 t x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2))
(*.f64 z (-.f64 t x))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 t x)))
(*.f64 z (-.f64 t x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 t x) z))))
(*.f64 z (-.f64 t x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3))
(*.f64 z (-.f64 t x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 t x) z)))
(*.f64 z (-.f64 t x))
(exp.f64 (log.f64 (*.f64 (-.f64 t x) z)))
(*.f64 z (-.f64 t x))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 t x) z)) 1))
(*.f64 z (-.f64 t x))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 t x) z)))
(*.f64 z (-.f64 t x))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.85%	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))

Compiler

Compiled 25 to 8 computations (68% saved)

series13.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	t	@	inf	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
1.0ms	y	@	-inf	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
1.0ms	y	@	inf	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
1.0ms	y	@	0	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
1.0ms	z	@	0	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`associate-*r/`
1274×	`associate-*l/`
980×	`associate-/r*`
576×	`associate-/l*`
328×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	23
2	3023	23

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

Inputs
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 1 (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 2 (cosh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) (*.f64 2 (cosh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (*.f64 2 (cosh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z (expm1.f64 (*.f64 (/.f64 t y) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))) 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(sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 y z)) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 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(*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))))))

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1208×	`distribute-lft-in`
1056×	`associate-/l*`
892×	`associate-+r+`
850×	`associate-+l+`
536×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	337	8686
1	1027	4366
2	5108	4366

Stop Event

1×	node limit

Counts

114 → 132

Calls

Call 1

Inputs
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)) (.f64 -1/6 (pow.f64 t 4)))))) (+.f64 (.f64 -1/2 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3))))) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))) z) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 t z) (+.f64 (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)) (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/6 (pow.f64 t 4)) (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 1/2 (pow.f64 t 3)) (.f64 -1/6 (pow.f64 t 3)))) t))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (.f64 1/2 (pow.f64 t 3))) t)) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))) z) (pow.f64 y 3)))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 t z)
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z)))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (.f64 -17/315 (/.f64 (.f64 (pow.f64 t 7) z) (pow.f64 y 6))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))))) 1)
(/.f64 (*.f64 y z) (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (/.f64 (.f64 2 (cosh.f64 (/.f64 t y))) (*.f64 y z)))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (.f64 y z)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)))
(/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 z (.f64 2 (sinh.f64 (/.f64 t y))))) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 y (.f64 z (expm1.f64 (*.f64 (/.f64 t y) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (neg.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 1 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y))))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (.f64 y z) (expm1.f64 (.f64 (/.f64 t y) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (expm1.f64 (.f64 (/.f64 t y) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (expm1.f64 (.f64 (/.f64 t y) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 y z)) (neg.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (/.f64 t y) 2))) (*.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 y z) (expm1.f64 (.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 (/.f64 t y) 2))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (.f64 y z))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (*.f64 y z))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (.f64 y z))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 z (.f64 2 (sinh.f64 (/.f64 t y)))) y) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 z (expm1.f64 (*.f64 (/.f64 t y) 2))) y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (.f64 (/.f64 t y) 2))) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) 1) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 1)
(pow.f64 (sqrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (.f64 y z) 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))))
(exp.f64 (log.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))))

Outputs
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(fma.f64 t z (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (*.f64 t t))))))
(fma.f64 t z (*.f64 (/.f64 z y) 0))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (fma.f64 t z (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (.f64 t t)))))) (/.f64 (.f64 1/2 (-.f64 (fma.f64 -1 (.f64 t (.f64 (.f64 t t) -1/2)) (.f64 (pow.f64 t 3) -1/6)) (pow.f64 t 3))) (/.f64 (*.f64 y y) z)))
(+.f64 (fma.f64 t z (.f64 (/.f64 z y) 0)) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 z y)) (-.f64 (.f64 (pow.f64 t 3) 1/3) (pow.f64 t 3)))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)) (.f64 -1/6 (pow.f64 t 4)))))) (+.f64 (.f64 -1/2 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3))))) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))) z) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))))
(+.f64 (+.f64 (fma.f64 t z (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (.f64 t t)))))) (/.f64 (.f64 1/2 (-.f64 (fma.f64 -1 (.f64 t (.f64 (.f64 t t) -1/2)) (.f64 (pow.f64 t 3) -1/6)) (pow.f64 t 3))) (/.f64 (.f64 y y) z))) (/.f64 (-.f64 (.f64 1/2 (fma.f64 -1/2 (.f64 (.f64 t t) (.f64 (.f64 t t) -1/2)) (fma.f64 1/12 (pow.f64 t 4) (fma.f64 -1 (.f64 t (fma.f64 -1 (.f64 t (.f64 (.f64 t t) -1/2)) (.f64 (pow.f64 t 3) -1/3))) (.f64 (pow.f64 t 4) -1/6))))) (fma.f64 -1/2 (.f64 t (fma.f64 -1 (.f64 t (.f64 (.f64 t t) -1/2)) (.f64 -1/2 (pow.f64 t 3)))) (.f64 1/4 (.f64 (.f64 t t) (.f64 0 (.f64 t t)))))) (/.f64 (pow.f64 y 3) z)))
(+.f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 z y)) (-.f64 (.f64 (pow.f64 t 3) 1/3) (pow.f64 t 3)))) (+.f64 (fma.f64 t z (.f64 (/.f64 z y) 0)) (.f64 (/.f64 (-.f64 (.f64 1/2 (fma.f64 -1/2 (.f64 -1/2 (pow.f64 t 4)) (fma.f64 1/12 (pow.f64 t 4) (-.f64 (.f64 (pow.f64 t 4) -1/6) (.f64 t (.f64 (pow.f64 t 3) 1/6)))))) (fma.f64 -1/2 (+.f64 (.f64 -1/2 (pow.f64 t 4)) (.f64 1/2 (pow.f64 t 4))) 0)) (pow.f64 y 3)) z)))
(+.f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 z y)) (-.f64 (.f64 (pow.f64 t 3) 1/3) (pow.f64 t 3)))) (+.f64 (fma.f64 t z (.f64 (/.f64 z y) 0)) (.f64 (/.f64 (+.f64 (.f64 1/2 (fma.f64 -1/2 (.f64 -1/2 (pow.f64 t 4)) (fma.f64 1/12 (pow.f64 t 4) (-.f64 (.f64 (pow.f64 t 4) -1/6) (.f64 t (.f64 (pow.f64 t 3) 1/6)))))) (fma.f64 1/2 (+.f64 (.f64 -1/2 (pow.f64 t 4)) (.f64 1/2 (pow.f64 t 4))) 0)) (pow.f64 y 3)) z)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(fma.f64 t z (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (*.f64 t t))))))
(fma.f64 t z (*.f64 (/.f64 z y) 0))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(fma.f64 -1 (/.f64 (fma.f64 1/2 (fma.f64 t (.f64 (.f64 t t) -1/2) (.f64 (pow.f64 t 3) 1/6)) (neg.f64 (.f64 -1/2 (pow.f64 t 3)))) (/.f64 (.f64 y y) z)) (fma.f64 t z (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (.f64 t t)))))))
(-.f64 (fma.f64 t z (.f64 (/.f64 z y) 0)) (.f64 (/.f64 z y) (/.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 t 3) -1/3) (pow.f64 t 3))) y)))
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(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) 1) (.f64 2 (cosh.f64 (/.f64 t y))))
(.f64 1/2 (/.f64 (.f64 y (.f64 z (.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(.f64 (/.f64 (.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 2) (cosh.f64 (/.f64 t y)))
(.f64 1/2 (/.f64 (.f64 y (.f64 z (.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(.f64 (/.f64 (.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(.f64 1/2 (/.f64 (.f64 y (.f64 z (.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(.f64 (/.f64 (.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(.f64 1/2 (/.f64 (.f64 y (.f64 z (.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(.f64 (/.f64 (.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 1)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 2)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 3) 1/3)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) 2))
(fabs.f64 (.f64 z (.f64 (tanh.f64 (/.f64 t y)) y)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (tanh.f64 (/.f64 t y))))
(*.f64 (tanh.f64 (/.f64 t y)) (log.f64 (pow.f64 (exp.f64 y) z)))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z (log.f64 (exp.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 3))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(cbrt.f64 (.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (.f64 y z) 3)))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(exp.f64 (log.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 1))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(.f64 z (.f64 (tanh.f64 (/.f64 t y)) y))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.41%	(*.f64 y (tanh.f64 (/.f64 t y)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 y (tanh.f64 (/.f64 t y)))
1.0ms	y	@	inf	(*.f64 y (tanh.f64 (/.f64 t y)))
0.0ms	t	@	inf	(*.f64 y (tanh.f64 (/.f64 t y)))
0.0ms	t	@	-inf	(*.f64 y (tanh.f64 (/.f64 t y)))
0.0ms	y	@	0	(*.f64 y (tanh.f64 (/.f64 t y)))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`associate-*r/`
936×	`associate-/r*`
930×	`*-commutative`
890×	`associate-*l/`
570×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	178	17
2	2485	17

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(*.f64 y (tanh.f64 (/.f64 t y)))

Outputs

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(pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (*.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 2 (sinh.f64 (/.f64 t y)))) 2) (cosh.f64 (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 t y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 t y) 2))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (tanh.f64 (/.f64 t y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (tanh.f64 (/.f64 t y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))))))

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-/r*`
1534×	`associate-*r/`
1078×	`associate-*l/`
1036×	`*-commutative`
838×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	6831
1	821	2797
2	3597	2737

Stop Event

1×	node limit

Counts

75 → 114

Calls

Call 1

Inputs
(.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
t
(+.f64 t (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))
(-.f64 (+.f64 t (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))) (.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/6 (pow.f64 t 4)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t))))) (pow.f64 y 3))) (+.f64 t (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3)))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))))
t
(+.f64 t (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) (pow.f64 y 2))) (+.f64 t (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) (pow.f64 y 2))) (+.f64 t (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 1/2 (pow.f64 t 3)) (.f64 -1/6 (pow.f64 t 3)))) t) (.f64 -1/6 (pow.f64 t 4))))) (pow.f64 y 3)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (.f64 1/2 (pow.f64 t 3))) t) (pow.f64 y 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (pow.f64 y 3)))))
t
(+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))
(+.f64 (.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4))) (+.f64 t (.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2)))))
(+.f64 (.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4))) (+.f64 (.f64 -17/315 (/.f64 (pow.f64 t 7) (pow.f64 y 6))) (+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 t y))))) 1)
(/.f64 y (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (/.f64 (.f64 2 (cosh.f64 (/.f64 t y))) y))
(/.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) y))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) y))
(/.f64 (.f64 y (expm1.f64 (.f64 (/.f64 t y) 2))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 y (.f64 -2 (sinh.f64 (/.f64 t y)))) (*.f64 -2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 y (neg.f64 (expm1.f64 (.f64 (/.f64 t y) 2)))) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (*.f64 y (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 1 (.f64 y (.f64 2 (sinh.f64 (/.f64 t y))))) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 1 (.f64 y (expm1.f64 (*.f64 (/.f64 t y) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 -2 (sinh.f64 (/.f64 t y))) y) (*.f64 -2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (/.f64 t y) 2))) y) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) y) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 y (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 (/.f64 t y) 2))) (*.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 y (sqrt.f64 (tanh.f64 (/.f64 t y))))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 t y)))) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 y (expm1.f64 (.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 y (expm1.f64 (.f64 (/.f64 t y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 y (expm1.f64 (.f64 (/.f64 t y) 2))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 1)
(pow.f64 (sqrt.f64 (*.f64 y (tanh.f64 (/.f64 t y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (tanh.f64 (/.f64 t y)))) 3)
(pow.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 2))
(log.f64 (pow.f64 (exp.f64 y) (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 t y))))))
(cbrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))
(exp.f64 (log.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))
(log1p.f64 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))

Outputs
(.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
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t
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t
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t
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(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 1)
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(pow.f64 (sqrt.f64 (*.f64 y (tanh.f64 (/.f64 t y)))) 2)
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(pow.f64 (cbrt.f64 (*.f64 y (tanh.f64 (/.f64 t y)))) 3)
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(pow.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 3) 1/3)
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(sqrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 2))
(fabs.f64 (*.f64 y (tanh.f64 (/.f64 t y))))
(log.f64 (pow.f64 (exp.f64 y) (tanh.f64 (/.f64 t y))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 t y))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(cbrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) 3))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(expm1.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(exp.f64 (log.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(log1p.f64 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(tanh.f64 (/.f64 x y))
	0.38%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
	8.99%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 47 to 11 computations (76.6% saved)

eval772.0ms (5.2%)

Compiler: Compiled 48089 to 22229 computations (53.8% saved)

prune281.0ms (1.9%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1073	14	1087
Fresh	4	3	7
Picked	0	1	1
Done	2	4	6
Total	1079	22	1101

Error

0.32%

Counts

1101 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.14%	(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
✓	3.16%	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
✓	19.66%	(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) x)
	74.54%	(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
	67.69%	(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
	50.39%	(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
	54.05%	(+.f64 (*.f64 z (neg.f64 x)) x)
	47.67%	(+.f64 (*.f64 z t) x)
▶	43.41%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	9.38%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
▶	89.07%	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
▶	71.32%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
	74.75%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
✓	69.09%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
	69.08%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))))
	83.93%	(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (.f64 2 (cosh.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 2 (cosh.f64 (/.f64 x y))))))
	81.69%	(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))
✓	77.6%	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
	79.91%	(*.f64 z (-.f64 t x))
▶	87.08%	(*.f64 t z)
	86.06%	(fabs.f64 (.f64 z (.f64 (tanh.f64 (/.f64 t y)) y)))
	37.74%	x

Compiler

Compiled 644 to 422 computations (34.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
	0.01%	(tanh.f64 (/.f64 x y))
✓	12.91%	(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
1.0ms	y	@	-inf	(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
1.0ms	y	@	0	(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
1.0ms	y	@	-inf	(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
1.0ms	y	@	inf	(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`associate-*r/`
1386×	`associate-*l/`
1282×	`associate-/r*`
282×	`add-sqr-sqrt`
274×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	261	42
2	3624	42

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (*.f64 2 (sinh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (expm1.f64 (/.f64 (*.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 2 (sinh.f64 (/.f64 x y)))) (*.f64 2 (cosh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (expm1.f64 (/.f64 (*.f64 2 x) y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 x y))) y) (*.f64 2 (cosh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (/.f64 (*.f64 2 x) y)) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (*.f64 2 (sinh.f64 (/.f64 x y))))) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (expm1.f64 (/.f64 (*.f64 2 x) y)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tanh.f64 (/.f64 x y)) (-.f64 0 (*.f64 y y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tanh.f64 (/.f64 x y)) (-.f64 0 (pow.f64 y 3))) (+.f64 0 (+.f64 (*.f64 y y) (*.f64 0 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y (*.f64 2 (sinh.f64 (/.f64 x y))))) (*.f64 2 (cosh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y (expm1.f64 (/.f64 (*.f64 2 x) y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 2 (sinh.f64 (/.f64 x y))) y)) (*.f64 2 (cosh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (expm1.f64 (/.f64 (*.f64 2 x) y)) y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (*.f64 2 (sinh.f64 (/.f64 x y))))) (*.f64 2 (cosh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (expm1.f64 (/.f64 (*.f64 2 x) y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (*.f64 2 (sinh.f64 (/.f64 x y))) y)) (*.f64 2 (cosh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (expm1.f64 (/.f64 (*.f64 2 x) y)) y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tanh.f64 (/.f64 x y)) -1) (-.f64 0 (*.f64 y y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tanh.f64 (/.f64 x y)) -1) (-.f64 0 (pow.f64 y 3))) (+.f64 0 (+.f64 (*.f64 y y) (*.f64 0 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sqrt.f64 (tanh.f64 (/.f64 x y)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sqrt.f64 (tanh.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 x y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sqrt.f64 (tanh.f64 (/.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (*.f64 2 x) y)))) (sqrt.f64 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simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-+r+`
950×	`+-commutative`
870×	`associate-/l*`
570×	`fma-def`
556×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	10280
1	1382	7894
2	6239	7894

Stop Event

1×	node limit

Counts

180 → 235

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -1 x) (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -1 x) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 17/315 (/.f64 (pow.f64 x 7) (pow.f64 y 6))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
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(/.f64 (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (-.f64 0 (.f64 y y))) y)
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(/.f64 (.f64 (-.f64 0 (.f64 y y)) (tanh.f64 (/.f64 x y))) y)
(/.f64 (.f64 (-.f64 0 (pow.f64 y 3)) (tanh.f64 (/.f64 x y))) (+.f64 0 (+.f64 (.f64 y y) (*.f64 0 y))))
(/.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) y) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (/.f64 (.f64 2 x) y))) y) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) y) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 x y)))) 1) (.f64 2 (cosh.f64 (/.f64 x y))))
(/.f64 (.f64 (.f64 y (expm1.f64 (/.f64 (*.f64 2 x) y))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (.f64 (.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 x y))) y) 1) (.f64 2 (cosh.f64 (/.f64 x y))))
(/.f64 (.f64 (.f64 (expm1.f64 (/.f64 (*.f64 2 x) y)) y) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 x y))) y)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 x y)))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 x y))) y)) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (.f64 (sqrt.f64 (expm1.f64 (/.f64 (.f64 2 x) y))) (*.f64 (sqrt.f64 (tanh.f64 (/.f64 x y))) y)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 x y)))) 1) (*.f64 2 (cosh.f64 (/.f64 x y))))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 x y)))) 2) (cosh.f64 (/.f64 x y)))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 x y)))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 x y))))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (/.f64 (.f64 y (.f64 2 (sinh.f64 (/.f64 x y)))) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (/.f64 (.f64 y (expm1.f64 (/.f64 (.f64 2 x) y))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (/.f64 (.f64 y (expm1.f64 (/.f64 (.f64 2 x) y))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 y (expm1.f64 (/.f64 (.f64 2 x) y))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 x y))) y) 1) (*.f64 2 (cosh.f64 (/.f64 x y))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 x y))) y) 2) (cosh.f64 (/.f64 x y)))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 x y))) y) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 x y))))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 x y))) y) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (/.f64 (.f64 2 x) y)) y) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (/.f64 (.f64 (expm1.f64 (/.f64 (.f64 2 x) y)) y) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (/.f64 (.f64 2 x) y)) y) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (*.f64 y (tanh.f64 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (tanh.f64 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 3) 1/3)
(neg.f64 (*.f64 y (tanh.f64 (/.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 2))
(log.f64 (pow.f64 (exp.f64 y) (tanh.f64 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 3))
(cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 y (tanh.f64 (/.f64 x y)))))
(exp.f64 (.f64 (log.f64 (.f64 y (tanh.f64 (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z))
(+.f64 x (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) 1))
(+.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x)
(+.f64 (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) 1) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x))) 1)
(-.f64 (+.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) 1) (exp.f64 (log1p.f64 x))) 1)
(.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x) 1)
(.f64 1 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x))
(.f64 (sqrt.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(.f64 (cbrt.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) 2) (cbrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (-.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) 3)) (-.f64 (+.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) x)))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x))) (-.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) x))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) 3))) (-.f64 (+.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) 1) (-.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x)))
(pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 2))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 -1 x (.f64 1/3 (/.f64 (pow.f64 x 3) (.f64 y y))))
(-.f64 (/.f64 1/3 (/.f64 (*.f64 y y) (pow.f64 x 3))) x)
(+.f64 (.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -1 x) (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -1 x (.f64 1/3 (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (-.f64 (/.f64 1/3 (/.f64 (*.f64 y y) (pow.f64 x 3))) x))
(+.f64 (.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -1 x) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 17/315 (/.f64 (pow.f64 x 7) (pow.f64 y 6))))))
(fma.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -1 x (fma.f64 1/3 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 17/315 (/.f64 (pow.f64 x 7) (pow.f64 y 6))))))
(fma.f64 -2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 17/315 (/.f64 (pow.f64 y 6) (pow.f64 x 7)))) x))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (/.f64 (.f64 y (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(.f64 -1 (.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(*.f64 -1 x)
(neg.f64 x)
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x
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(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 x y))) y) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 y (*.f64 1 (/.f64 (cosh.f64 (/.f64 x y)) (sinh.f64 (/.f64 x y)))))
(/.f64 y (/.f64 (cosh.f64 (/.f64 x y)) (sinh.f64 (/.f64 x y))))
(/.f64 (/.f64 (.f64 (expm1.f64 (/.f64 (.f64 2 x) y)) y) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(*.f64 (/.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (expm1.f64 (/.f64 2 (/.f64 y x))))
(*.f64 (expm1.f64 (/.f64 x (/.f64 y 2))) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (/.f64 (.f64 2 x) y)) y) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 (/.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (expm1.f64 (/.f64 2 (/.f64 y x))))
(*.f64 (expm1.f64 (/.f64 x (/.f64 y 2))) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (/.f64 (.f64 2 x) y)) y) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 (/.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (expm1.f64 (/.f64 2 (/.f64 y x))))
(*.f64 (expm1.f64 (/.f64 x (/.f64 y 2))) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) y) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 1)
(*.f64 y (tanh.f64 (/.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 y (tanh.f64 (/.f64 x y)))) 2)
(*.f64 y (tanh.f64 (/.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 y (tanh.f64 (/.f64 x y)))) 3)
(*.f64 y (tanh.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 3) 1/3)
(*.f64 y (tanh.f64 (/.f64 x y)))
(neg.f64 (*.f64 y (tanh.f64 (/.f64 x y))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))
(sqrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 2))
(fabs.f64 (*.f64 y (tanh.f64 (/.f64 x y))))
(log.f64 (pow.f64 (exp.f64 y) (tanh.f64 (/.f64 x y))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 x y))))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) 3))
(*.f64 y (tanh.f64 (/.f64 x y)))
(cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) (pow.f64 y 3)))
(*.f64 y (tanh.f64 (/.f64 x y)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
(*.f64 y (tanh.f64 (/.f64 x y)))
(expm1.f64 (log1p.f64 (*.f64 y (tanh.f64 (/.f64 x y)))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(exp.f64 (log.f64 (*.f64 y (tanh.f64 (/.f64 x y)))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 y (tanh.f64 (/.f64 x y)))) 1))
(*.f64 y (tanh.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 y (tanh.f64 (/.f64 x y)))))
(*.f64 y (tanh.f64 (/.f64 x y)))
(+.f64 x (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(+.f64 x (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) 1))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(+.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(+.f64 (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) 1) x)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)))
(fma.f64 y (*.f64 z (tanh.f64 (/.f64 x y))) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x))) 1)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(-.f64 (+.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)))
(fma.f64 y (*.f64 z (tanh.f64 (/.f64 x y))) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)))
(fma.f64 y (*.f64 z (tanh.f64 (/.f64 x y))) (expm1.f64 (log1p.f64 x)))
(.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x) 1)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(.f64 1 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(.f64 (sqrt.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(.f64 (cbrt.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)) 2))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) 2) (cbrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(/.f64 (-.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (-.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) 3)) (-.f64 (+.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)) 3)) (+.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (-.f64 (.f64 x x) (.f64 x (.f64 y (*.f64 (tanh.f64 (/.f64 x y)) z))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)) 3)) (fma.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z) (.f64 x (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x))) (-.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)) x))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) 3))) (-.f64 (+.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)) 3)) (+.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (-.f64 (.f64 x x) (.f64 x (.f64 y (*.f64 (tanh.f64 (/.f64 x y)) z))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)) 3)) (fma.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z) (.f64 x (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) 1) (-.f64 (.f64 (*.f64 y (tanh.f64 (/.f64 x y))) z) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)) x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z)) (.f64 x x)) (.f64 (.f64 (.f64 y (tanh.f64 (/.f64 x y))) z) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 x y)) z)) 3)) (+.f64 (.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z)) (-.f64 (.f64 x x) (.f64 x (.f64 y (*.f64 (tanh.f64 (/.f64 x y)) z))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)) 3)) (fma.f64 (pow.f64 (.f64 y (tanh.f64 (/.f64 x y))) 2) (.f64 z z) (.f64 x (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))))))
(pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 1)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)) 2)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)) 3)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 3) 1/3)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 2))
(fabs.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x))))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x) 3))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(exp.f64 (log.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(exp.f64 (.f64 (log.f64 (fma.f64 z (.f64 y (tanh.f64 (/.f64 x y))) x)) 1))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 x y))) x)

localize6.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (-.f64 t x) y)
✓	25.32%	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series40.0ms (0.3%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
37.0ms	t	@	0	(/.f64 (-.f64 t x) y)
0.0ms	t	@	-inf	(/.f64 (-.f64 t x) y)
0.0ms	y	@	0	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
0.0ms	y	@	-inf	(/.f64 (-.f64 t x) y)
0.0ms	x	@	0	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))

rewrite121.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`associate-*l/`
1540×	`associate-/r*`
1358×	`associate-/l*`
340×	`associate-/r/`
238×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	221	38
2	3228	38

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

Inputs
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) (/.f64 (*.f64 y z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 y (*.f64 z (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y (*.f64 y (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 t x) (/.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 t x) (/.f64 (*.f64 y z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y z) (*.f64 y (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y z)) (/.f64 (/.f64 y (-.f64 t x)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 t y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 t y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 t x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 t x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 t x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 t x)) (*.f64 (sqrt.f64 (-.f64 t x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 t x) y)) (sqrt.f64 (/.f64 (-.f64 t x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (*.f64 (cbrt.f64 (-.f64 t x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 t x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) y)) 2) (cbrt.f64 (/.f64 (-.f64 t x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 t x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 t x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 t x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 t x)) 1) (/.f64 (sqrt.f64 (-.f64 t x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 t x)) y) (sqrt.f64 (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 t x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 t x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 t x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 t x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 t x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) y) (cbrt.f64 (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 t x)) 2))) (cbrt.f64 (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 1 y)) (-.f64 (*.f64 t t) (*.f64 x x))) (-.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 1 y)) (+.f64 (pow.f64 t 3) (pow.f64 x 3))) (+.f64 (*.f64 t t) (-.f64 (*.f64 x x) (*.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 1 y)) (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 1 y)) (+.f64 (pow.f64 (*.f64 t t) 3) (pow.f64 (*.f64 x (+.f64 t x)) 3))) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 t x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 t x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 t x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 t x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 t x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 t x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 t x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 t x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 t x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 t x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 t x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 t x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 t x) y)))))))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1636×	`associate-/l*`
918×	`times-frac`
714×	`associate-r`
650×	`*-commutative`
600×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	6042
1	1513	5762

Stop Event

1×	node limit

Counts

250 → 260

Calls

Call 1

Inputs
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y)))) 1)
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (-.f64 t x) (/.f64 y (*.f64 y z)))
(/.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y)) 1)
(/.f64 1 (/.f64 (/.f64 y z) (*.f64 y (-.f64 t x))))
(/.f64 (sqrt.f64 (.f64 y z)) (/.f64 (/.f64 y (-.f64 t x)) (sqrt.f64 (.f64 y z))))
(/.f64 (sqrt.f64 (.f64 y z)) (/.f64 y (.f64 (sqrt.f64 (*.f64 y z)) (-.f64 t x))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 (sqrt.f64 y) z)))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 (sqrt.f64 z) y)))
(/.f64 (cbrt.f64 (.f64 y z)) (/.f64 (/.f64 y (-.f64 t x)) (pow.f64 (cbrt.f64 (.f64 y z)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (/.f64 (/.f64 y (-.f64 t x)) (cbrt.f64 (.f64 y z))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (/.f64 y (.f64 (cbrt.f64 (*.f64 y z)) (-.f64 t x))))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 (cbrt.f64 y) z)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 (cbrt.f64 z) y)))
(/.f64 (.f64 y (.f64 z (-.f64 t x))) y)
(/.f64 (neg.f64 (-.f64 t x)) (/.f64 (neg.f64 y) (*.f64 y z)))
(/.f64 (sqrt.f64 (.f64 y (.f64 z (-.f64 t x)))) (/.f64 y (sqrt.f64 (.f64 y (.f64 z (-.f64 t x))))))
(/.f64 (.f64 (cbrt.f64 (.f64 y (.f64 z (-.f64 t x)))) (cbrt.f64 (.f64 y (.f64 z (-.f64 t x))))) (/.f64 y (cbrt.f64 (.f64 y (*.f64 z (-.f64 t x))))))
(/.f64 (.f64 (.f64 y z) (sqrt.f64 (-.f64 t x))) (/.f64 y (sqrt.f64 (-.f64 t x))))
(/.f64 (.f64 (.f64 y z) (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (/.f64 y (cbrt.f64 (-.f64 t x))))
(/.f64 (*.f64 y (sqrt.f64 z)) (/.f64 (/.f64 y (-.f64 t x)) (sqrt.f64 z)))
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 y (-.f64 t x)) (cbrt.f64 z)))
(/.f64 (*.f64 z (sqrt.f64 y)) (/.f64 (/.f64 y (-.f64 t x)) (sqrt.f64 y)))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 y (-.f64 t x)) (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 y z) y) (/.f64 1 (-.f64 t x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 t x) y)) (.f64 y z)) (sqrt.f64 (/.f64 y (-.f64 t x))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (.f64 (neg.f64 (-.f64 t x)) (.f64 y z)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y z) (/.f64 (sqrt.f64 y) (-.f64 t x))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 y z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (-.f64 t x))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (-.f64 t x))) (/.f64 y (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (-.f64 t x)))))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 (sqrt.f64 y) z)) (/.f64 (sqrt.f64 y) (-.f64 t x)))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (-.f64 t x)))
(/.f64 (neg.f64 (.f64 y (.f64 z (-.f64 t x)))) (neg.f64 y))
(/.f64 (.f64 (-.f64 (.f64 t t) (.f64 x x)) (.f64 y z)) (*.f64 y (+.f64 t x)))
(/.f64 (.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (.f64 y z)) (.f64 y (fma.f64 t t (.f64 x (+.f64 t x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 t x)) (.f64 y z)) (/.f64 y (sqrt.f64 (-.f64 t x))))
(/.f64 (.f64 -1 (.f64 y z)) (neg.f64 (/.f64 y (-.f64 t x))))
(/.f64 (.f64 1 (/.f64 (.f64 y z) y)) (/.f64 1 (-.f64 t x)))
(/.f64 (.f64 (-.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 y z) y)) (+.f64 t x))
(/.f64 (.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 (.f64 y z) y)) (fma.f64 t t (*.f64 x (+.f64 t x))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 t t) (.f64 x x))) (/.f64 (.f64 y z) y)) (neg.f64 (+.f64 t x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (/.f64 (.f64 y z) y)) (neg.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (.f64 (-.f64 (.f64 t t) (.f64 (neg.f64 x) (neg.f64 x))) (/.f64 (.f64 y z) y)) (-.f64 t (neg.f64 x)))
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(/.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 (sqrt.f64 y) (-.f64 t x))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 (sqrt.f64 y) (-.f64 t x))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (-.f64 t x))) 1) (cbrt.f64 y))
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(/.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (-.f64 t x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (-.f64 t x))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (.f64 y z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (-.f64 t x))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 y (.f64 z (-.f64 t x)))) 1) (neg.f64 y))
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(/.f64 (/.f64 (neg.f64 (.f64 y (.f64 z (-.f64 t x)))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 y (.f64 z (-.f64 t x)))) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
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(/.f64 (/.f64 (neg.f64 (.f64 y (.f64 z (-.f64 t x)))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
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(pow.f64 (sqrt.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y))) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y))) 3)
(pow.f64 (pow.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (/.f64 (-.f64 t x) y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y)))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (/.f64 (-.f64 t x) y) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (-.f64 t x) y) 3) (pow.f64 (.f64 y z) 3)))
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(exp.f64 (log.f64 (.f64 (-.f64 t x) (/.f64 (.f64 y z) y))))
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(+.f64 (/.f64 t y) (neg.f64 (/.f64 x y)))
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(-.f64 (/.f64 t y) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 t x) y))) 1)
(*.f64 (-.f64 t x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 t x) y) 1)
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(*.f64 (sqrt.f64 (/.f64 (-.f64 t x) y)) (sqrt.f64 (/.f64 (-.f64 t x) y)))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 t x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) y)) 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 t x)) y))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 t x) y)))
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(cbrt.f64 (pow.f64 (/.f64 (-.f64 t x) y) 3))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 t x) y)) 1))
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Outputs
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(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
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(/.f64 (-.f64 t x) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 t x)) 2))) (cbrt.f64 (-.f64 t x)))
(/.f64 (-.f64 t x) y)
(.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (.f64 x x)) (/.f64 1 y)) (-.f64 (.f64 t t) (.f64 x x))) (-.f64 t x))
(.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 t x) y) (+.f64 t x)) (-.f64 t x)) (/.f64 (-.f64 t x) (+.f64 t x)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (.f64 x x)) (/.f64 1 y)) (+.f64 (pow.f64 t 3) (pow.f64 x 3))) (+.f64 (.f64 t t) (-.f64 (.f64 x x) (*.f64 t x))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (+.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (-.f64 x t))))
(.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) (.f64 (+.f64 (pow.f64 t 3) (pow.f64 x 3)) y)) (fma.f64 t t (*.f64 x (-.f64 x t))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 1 y)) (-.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 x (+.f64 t x)) (.f64 x (+.f64 t x))))) (-.f64 (.f64 t t) (.f64 x (+.f64 t x))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) y) (-.f64 (.f64 t (pow.f64 t 3)) (.f64 (.f64 x x) (.f64 (+.f64 t x) (+.f64 t x))))) (-.f64 (.f64 t t) (*.f64 x (+.f64 t x))))
(.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (.f64 (-.f64 (pow.f64 t 4) (.f64 (.f64 x x) (.f64 (+.f64 t x) (+.f64 t x)))) y)) (-.f64 (.f64 t t) (*.f64 x (+.f64 t x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 1 y)) (+.f64 (pow.f64 (.f64 t t) 3) (pow.f64 (.f64 x (+.f64 t x)) 3))) (+.f64 (.f64 (.f64 t t) (.f64 t t)) (-.f64 (.f64 (.f64 x (+.f64 t x)) (.f64 x (+.f64 t x))) (.f64 (.f64 t t) (*.f64 x (+.f64 t x))))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) y) (+.f64 (pow.f64 (.f64 t t) 3) (pow.f64 (.f64 x (+.f64 t x)) 3))) (+.f64 (.f64 t (pow.f64 t 3)) (.f64 (.f64 x (+.f64 t x)) (-.f64 (.f64 x (+.f64 t x)) (.f64 t t)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) y) (+.f64 (pow.f64 t 6) (pow.f64 (.f64 x (+.f64 t x)) 3))) (fma.f64 (.f64 x (+.f64 t x)) (-.f64 (.f64 x (+.f64 t x)) (*.f64 t t)) (pow.f64 t 4)))
(pow.f64 (/.f64 (-.f64 t x) y) 1)
(/.f64 (-.f64 t x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 t x) y)) 2)
(/.f64 (-.f64 t x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) y)) 3)
(/.f64 (-.f64 t x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 t x) y) 3) 1/3)
(/.f64 (-.f64 t x) y)
(pow.f64 (/.f64 y (-.f64 t x)) -1)
(/.f64 (-.f64 t x) y)
(neg.f64 (/.f64 (-.f64 t x) (neg.f64 y)))
(/.f64 (-.f64 t x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 t x) y) 2))
(fabs.f64 (/.f64 (-.f64 t x) y))
(log.f64 (exp.f64 (/.f64 (-.f64 t x) y)))
(/.f64 (-.f64 t x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 t x) y))))
(/.f64 (-.f64 t x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 t x) y) 3))
(/.f64 (-.f64 t x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 t x) y)))
(/.f64 (-.f64 t x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 t x) y)))
(/.f64 (-.f64 t x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 t x) y)) 1))
(/.f64 (-.f64 t x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 t x) y)))
(/.f64 (-.f64 t x) y)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	20.7%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))

Compiler

Compiled 55 to 11 computations (80% saved)

series9.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	y	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	z	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	y	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	z	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`associate-/l*`
864×	`distribute-lft-in`
652×	`associate-/r/`
322×	`add-sqr-sqrt`
316×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	294	35
2	4367	35

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (*.f64 (*.f64 y z) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (*.f64 (*.f64 y z) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (*.f64 (*.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (*.f64 (*.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (neg.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (*.f64 (neg.f64 (/.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) (neg.f64 (/.f64 x y))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (*.f64 (neg.f64 (/.f64 x y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (/.f64 x y)) (*.f64 y z)) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) (*.f64 y (*.f64 z (neg.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z)) (*.f64 y (*.f64 (neg.f64 (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (*.f64 1 (*.f64 (*.f64 y z) (neg.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (*.f64 1 (*.f64 (neg.f64 (/.f64 x y)) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (*.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (*.f64 y z)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))))))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-+r+`
1028×	`associate-+l+`
1010×	`associate-*r/`
868×	`associate-*l/`
784×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	247	9343
1	823	3739
2	3377	3739

Stop Event

1×	node limit

Counts

83 → 99

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 (-.f64 t x) z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (.f64 (-.f64 t x) z) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (.f64 (-.f64 t x) z) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)) (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/6 (pow.f64 t 4)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)))))) (+.f64 (.f64 -1/2 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3))))) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))))))) (pow.f64 y 3)))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)) (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 1/2 (pow.f64 t 3)) (.f64 -1/6 (pow.f64 t 3)))) t) (.f64 -1/6 (pow.f64 t 4)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))) (.f64 1/2 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (*.f64 1/2 (pow.f64 t 3))) t)))) z) (pow.f64 y 3)))))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
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(.f64 -1 (.f64 z x))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
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(.f64 -1 (.f64 z x))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
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(+.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (.f64 (.f64 y z) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y))))
(+.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (.f64 (.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y))))
(+.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (.f64 (.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y))))
(+.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (/.f64 x y))))
(+.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (*.f64 (neg.f64 (/.f64 x y)) 1)))
(+.f64 (.f64 (.f64 y z) (neg.f64 (/.f64 x y))) (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))))
(+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (/.f64 x y)) (.f64 y z)))
(+.f64 (.f64 (neg.f64 (/.f64 x y)) (.f64 y z)) (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))
(+.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) (.f64 y (.f64 z (neg.f64 (/.f64 x y)))))
(+.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) (.f64 y (.f64 (neg.f64 (/.f64 x y)) z)))
(+.f64 (.f64 1 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))) (.f64 1 (.f64 (.f64 y z) (neg.f64 (/.f64 x y)))))
(+.f64 (.f64 1 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) (.f64 1 (.f64 (neg.f64 (/.f64 x y)) (.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))) 1)
(/.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (.f64 y z)))
(/.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(/.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (.f64 y z)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 1)
(pow.f64 (sqrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) 3) (pow.f64 (.f64 y z) 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(exp.f64 (log.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))

Outputs
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(fma.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) (neg.f64 (.f64 z x)))
(-.f64 (.f64 z (.f64 y (tanh.f64 (/.f64 t y)))) (*.f64 z x))
(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)) (*.f64 z x))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(fma.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) (neg.f64 (.f64 z x)))
(-.f64 (.f64 z (.f64 y (tanh.f64 (/.f64 t y)))) (*.f64 z x))
(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)) (*.f64 z x))
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(fma.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) (neg.f64 (.f64 z x)))
(-.f64 (.f64 z (.f64 y (tanh.f64 (/.f64 t y)))) (*.f64 z x))
(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)) (*.f64 z x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(+.f64 (.f64 (-.f64 t x) z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
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(fma.f64 z (-.f64 t x) (/.f64 z (/.f64 y 0)))
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(fma.f64 (-.f64 t x) z (+.f64 (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (.f64 t t))))) (/.f64 (.f64 1/2 (-.f64 (fma.f64 -1 (.f64 t (.f64 (.f64 t t) -1/2)) (.f64 (pow.f64 t 3) -1/6)) (pow.f64 t 3))) (/.f64 (*.f64 y y) z))))
(+.f64 (fma.f64 z (-.f64 t x) (/.f64 z (/.f64 y 0))) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 z y)) (-.f64 (*.f64 (pow.f64 t 3) 1/3) (pow.f64 t 3)))))
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(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 (.f64 1 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) (.f64 1 (.f64 (neg.f64 (/.f64 x y)) (.f64 y z))))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))) 1)
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(/.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))
(.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))) (.f64 z y))
(.f64 (/.f64 (.f64 z y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (.f64 y z)))
(.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (/.f64 x y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))))) (*.f64 z y))
(.f64 (.f64 z y) (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) 2))))
(/.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))) (.f64 z y))
(.f64 (/.f64 (.f64 z y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)))
(/.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (/.f64 x y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))))) (*.f64 z y))
(.f64 (.f64 z y) (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))) (.f64 z y))
(.f64 (/.f64 (.f64 z y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (/.f64 x y) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (.f64 y z)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (.f64 (/.f64 x y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))))) (*.f64 z y))
(.f64 (.f64 z y) (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) 2))))
(pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 1)
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 2)
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 3)
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(pow.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 3) 1/3)
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 2))
(fabs.f64 (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (log.f64 (pow.f64 (exp.f64 y) z)))
(.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 z (log.f64 (exp.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) 3))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) 3)))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) 3) (pow.f64 (.f64 y z) 3)))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(exp.f64 (log.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) 1))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(.f64 y (.f64 z (-.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.35%	(*.f64 (/.f64 2 y) x)
✓	0.79%	(/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))
✓	1.13%	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
✓	8.6%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))

Compiler

Compiled 112 to 62 computations (44.6% saved)

series108.0ms (0.7%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
73.0ms	z	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
7.0ms	t	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
3.0ms	t	@	0	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
3.0ms	y	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
2.0ms	z	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))

rewrite173.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`add-sqr-sqrt`
498×	`*-un-lft-identity`
496×	`pow1`
470×	`add-exp-log`
470×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	192
1	486	192
2	6919	192

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))
(*.f64 (/.f64 2 y) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (/.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) (/.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (.f64 y z)) (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) 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simplify263.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

904×	`+-commutative`
880×	`associate-r`
810×	`associate-l`
724×	`*-commutative`
682×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	754	33175
1	2355	32181

Stop Event

1×	node limit

Counts

303 → 379

Calls

Call 1

Inputs
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(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 (-.f64 t x) z)
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(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
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(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
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(pow.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))) 3)
(pow.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) 2))
(log.f64 (exp.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))))
(cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))))
(exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))))
(exp.f64 (.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))))
(fma.f64 1 (tanh.f64 (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(fma.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (sqrt.f64 (tanh.f64 (/.f64 t y))) (/.f64 (neg.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(fma.f64 (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2) (cbrt.f64 (tanh.f64 (/.f64 t y))) (/.f64 (neg.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(.f64 1 (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(.f64 (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 1)
(.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (expm1.f64 (.f64 2 (/.f64 x y))))
(.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 2)) (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 4) (/.f64 x y)))) (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))
(.f64 (/.f64 (expm1.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 (/.f64 x y) 3)))) (-.f64 (pow.f64 (exp.f64 4) (/.f64 x y)) (expm1.f64 (.f64 2 (/.f64 x y)))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) 2) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) 3)
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (expm1.f64 (*.f64 2 (/.f64 x y)))) -1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 3) 1/3)
(neg.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(exp.f64 (-.f64 (log.f64 (expm1.f64 (*.f64 2 (/.f64 x y)))) (log1p.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(exp.f64 (.f64 (-.f64 (log.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (log1p.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(+.f64 0 (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 x y)) 0)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x y)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x y))))) 1)
(/.f64 2 (/.f64 y x))
(/.f64 x (*.f64 y 1/2))
(/.f64 1 (/.f64 y (*.f64 2 x)))
(/.f64 (*.f64 2 x) y)
(/.f64 (*.f64 2 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 x -2) (neg.f64 y))
(/.f64 (*.f64 -2 x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 2 x) 1) y)
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 y))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) 1/3)
(pow.f64 (*.f64 2 (/.f64 x y)) 1)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x y))))

Outputs
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) z))
(.f64 y (.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) z))
(.f64 y (.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) z))
(.f64 y (.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (.f64 2 (/.f64 x y))) (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) z))
(.f64 y (.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(+.f64 (.f64 (-.f64 t x) z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(fma.f64 (-.f64 t x) z (.f64 1/2 (/.f64 (.f64 z (.f64 0 (.f64 t t))) y)))
(fma.f64 (-.f64 t x) z (.f64 (/.f64 z y) (.f64 (*.f64 t t) 0)))
(+.f64 (/.f64 (.f64 z (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (pow.f64 x 3)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/2 (pow.f64 t 3))))) (pow.f64 y 2)) (+.f64 (.f64 (-.f64 t x) z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
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(*.f64 x (/.f64 2 y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 y 3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 y 3))))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x y))))
(*.f64 2 (/.f64 x y))
(*.f64 x (/.f64 2 y))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x y))))
(*.f64 2 (/.f64 x y))
(*.f64 x (/.f64 2 y))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x y))) 1))
(*.f64 2 (/.f64 x y))
(*.f64 x (/.f64 2 y))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x y))))
(*.f64 2 (/.f64 x y))
(*.f64 x (/.f64 2 y))

eval822.0ms (5.5%)

Compiler: Compiled 36326 to 18913 computations (47.9% saved)

prune395.0ms (2.6%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1057	19	1076
Fresh	6	6	12
Picked	0	1	1
Done	4	5	9
Total	1067	31	1098

Error

0.32%

Counts

1098 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	40.8%	(fma.f64 z (/.f64 (.f64 (-.f64 0 (.f64 y y)) (tanh.f64 (/.f64 x y))) y) x)
✓	3.16%	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
▶	74.54%	(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
▶	88.97%	(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
	93.39%	(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
	90.4%	(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
	88.97%	(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
	83.4%	(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
	86.12%	(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
	83.94%	(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
	36.4%	(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
	54.05%	(-.f64 x (*.f64 x z))
	71.32%	(+.f64 (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (.f64 y z)) (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))
	47.67%	(+.f64 (*.f64 z t) x)
▶	79.9%	(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
✓	9.38%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
▶	23.25%	(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
	79.91%	(*.f64 (-.f64 t x) z)
	94.53%	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
	91.96%	(.f64 (.f64 y z) (/.f64 t y))
	71.32%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (expm1.f64 (*.f64 2 (/.f64 x y)))) -1)))
✓	71.32%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
	74.75%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
✓	69.09%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
	83.93%	(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (.f64 2 (cosh.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 2 (cosh.f64 (/.f64 x y))))))
	81.69%	(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))
	92.07%	(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
✓	77.6%	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
✓	87.08%	(*.f64 t z)
▶	90.31%	(neg.f64 (*.f64 z x))
	37.74%	x

Compiler

Compiled 962 to 607 computations (36.9% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.85%	(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))

Compiler

Compiled 36 to 9 computations (75% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
1.0ms	t	@	inf	(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
0.0ms	y	@	inf	(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
0.0ms	z	@	0	(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
0.0ms	t	@	0	(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`associate-*r/`
1374×	`associate-*l/`
978×	`associate-/r*`
582×	`associate-/l*`
322×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	23
2	3025	23

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

Inputs
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 1 (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 2 (cosh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 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(cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 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(*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z))))))))

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1210×	`distribute-lft-in`
1002×	`associate-/l*`
914×	`associate-+r+`
854×	`associate-+l+`
546×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	8686
1	1043	4370
2	5035	4366

Stop Event

1×	node limit

Counts

114 → 133

Calls

Call 1

Inputs
(*.f64 t z)
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z)))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (.f64 -17/315 (/.f64 (.f64 (pow.f64 t 7) z) (pow.f64 y 6))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)) (.f64 -1/6 (pow.f64 t 4)))))) (+.f64 (.f64 -1/2 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3))))) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))) z) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))))
(*.f64 t z)
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) z) y)) (.f64 t z))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) z) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (*.f64 t z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) z) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 t z) (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/6 (pow.f64 t 4)) (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 1/2 (pow.f64 t 3)) (.f64 -1/6 (pow.f64 t 3)))) t))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (.f64 1/2 (pow.f64 t 3))) t)) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))) z) (pow.f64 y 3)))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)))) 1)
(/.f64 (*.f64 y z) (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (/.f64 (.f64 2 (cosh.f64 (/.f64 t y))) (*.f64 y z)))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (.f64 y z)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)))
(/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) z)) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 y (.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) z)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) z)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (neg.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 1 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y))))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (.f64 y z) (expm1.f64 (.f64 (/.f64 t y) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (expm1.f64 (.f64 (/.f64 t y) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (expm1.f64 (.f64 (/.f64 t y) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 y z)) (neg.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (/.f64 t y) 2))) (*.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 y z) (expm1.f64 (.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 (/.f64 t y) 2))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (.f64 y z))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (*.f64 y z))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (.f64 y z))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) z) y) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) z) y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) z) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (.f64 (/.f64 t y) 2))) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) 1) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 1)
(pow.f64 (sqrt.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 3))
(cbrt.f64 (.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (.f64 y z) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))))
(exp.f64 (log.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))))

Outputs
(*.f64 t z)
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))
(fma.f64 -1/3 (/.f64 (pow.f64 t 3) (/.f64 (.f64 y y) z)) (.f64 t z))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z)))
(fma.f64 2/15 (/.f64 (pow.f64 t 5) (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/3 (/.f64 (pow.f64 t 3) (/.f64 (.f64 y y) z)) (.f64 t z)))
(fma.f64 2/15 (.f64 (/.f64 (pow.f64 t 5) (pow.f64 y 4)) z) (fma.f64 -1/3 (/.f64 (pow.f64 t 3) (/.f64 (.f64 y y) z)) (*.f64 t z)))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (.f64 -17/315 (/.f64 (.f64 (pow.f64 t 7) z) (pow.f64 y 6))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))))
(fma.f64 2/15 (/.f64 (pow.f64 t 5) (/.f64 (pow.f64 y 4) z)) (fma.f64 -17/315 (/.f64 (.f64 z (pow.f64 t 7)) (pow.f64 y 6)) (fma.f64 -1/3 (/.f64 (pow.f64 t 3) (/.f64 (.f64 y y) z)) (*.f64 t z))))
(fma.f64 2/15 (.f64 (/.f64 (pow.f64 t 5) (pow.f64 y 4)) z) (fma.f64 -17/315 (.f64 (/.f64 (pow.f64 t 7) (pow.f64 y 6)) z) (fma.f64 -1/3 (/.f64 (pow.f64 t 3) (/.f64 (.f64 y y) z)) (.f64 t z))))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (.f64 y (.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(fma.f64 t z (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (*.f64 t t))))))
(fma.f64 t z (/.f64 0 (/.f64 y z)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 t z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (fma.f64 t z (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (.f64 t t)))))) (/.f64 (.f64 1/2 (-.f64 (fma.f64 -1 (.f64 t (.f64 (.f64 t t) -1/2)) (.f64 (pow.f64 t 3) -1/6)) (pow.f64 t 3))) (/.f64 (*.f64 y y) z)))
(+.f64 (fma.f64 t z (/.f64 0 (/.f64 y z))) (/.f64 1/2 (/.f64 (/.f64 (.f64 y y) z) (-.f64 (.f64 (pow.f64 t 3) 1/3) (pow.f64 t 3)))))
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(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 2) (cosh.f64 (/.f64 t y)))
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(.f64 1 (/.f64 (.f64 (*.f64 z y) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(.f64 (/.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 2 (cosh.f64 (/.f64 t y)))) (.f64 z y))
(.f64 1 (/.f64 (.f64 (*.f64 z y) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(.f64 (/.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 2 (cosh.f64 (/.f64 t y)))) (.f64 z y))
(.f64 1 (/.f64 (.f64 (*.f64 z y) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) 2)) (.f64 y z)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 1)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(pow.f64 (sqrt.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))) 2)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(pow.f64 (cbrt.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))) 3)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(pow.f64 (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 3) 1/3)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(sqrt.f64 (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 2))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))) 2))
(fabs.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) (tanh.f64 (/.f64 t y))))
(*.f64 (tanh.f64 (/.f64 t y)) (log.f64 (pow.f64 (exp.f64 z) y)))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 y (log.f64 (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z)) 3))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(cbrt.f64 (.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (.f64 y z) 3)))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(exp.f64 (log.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z))) 1))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 (tanh.f64 (/.f64 t y)) z))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))

localize6.0ms (0%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.12%	(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series3.0ms (0%)

Counts

1 → 18

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
1.0ms	z	@	0	(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
0.0ms	t	@	0	(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
0.0ms	z	@	-inf	(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
0.0ms	x	@	0	(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))

rewrite112.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1798×	`add-cube-cbrt`
1776×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	211	15
2	2821	15

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 t z) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 t z (*.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (*.f64 z x))) (/.f64 (pow.f64 (*.f64 z x) 2) (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t z (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 t z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 t z (*.f64 z x))) (sqrt.f64 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) 2) (cbrt.f64 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2) (/.f64 1 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 t z) 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2) (*.f64 (*.f64 t z) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 t z)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 t z)) (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 t z (*.f64 z x)) (pow.f64 (fma.f64 t z (*.f64 z x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2) (*.f64 (*.f64 t z) (*.f64 z x))) (+.f64 (pow.f64 (*.f64 t z) 3) (pow.f64 (*.f64 z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2) (fma.f64 t z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t z) 3) (pow.f64 (*.f64 z x) 3)) (-.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2) (*.f64 (*.f64 t z) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t z) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (pow.f64 (*.f64 t z) 2) (*.f64 (*.f64 t z) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (pow.f64 (*.f64 t z) 2)) (-.f64 (*.f64 z x) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 t z) 3) (pow.f64 (*.f64 z x) 3)) (-.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2) (*.f64 (*.f64 t z) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2)) (neg.f64 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 t z) 3) (pow.f64 (*.f64 z x) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2) (*.f64 (*.f64 t z) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t z (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t z (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 t) z) (pow.f64 (exp.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 t z (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t z (*.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 t z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t z (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z t (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z x) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z x) -1 (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t z) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t z)) (sqrt.f64 (*.f64 t z)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) 2) (cbrt.f64 (*.f64 t z)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) x (*.f64 t z))))))

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-+r+`
1438×	`associate-/r*`
936×	`associate-+l+`
470×	`fma-def`
458×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1456
1	281	1268
2	1274	1264
3	5478	1264

Stop Event

1×	node limit

Counts

62 → 69

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(*.f64 t z)
(*.f64 t z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(*.f64 t z)
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(-.f64 (.f64 t z) (.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 t z (*.f64 z x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 t z) 2) (fma.f64 t z (.f64 z x))) (/.f64 (pow.f64 (.f64 z x) 2) (fma.f64 t z (.f64 z x))))
(.f64 (fma.f64 t z (.f64 z x)) 1)
(.f64 1 (fma.f64 t z (.f64 z x)))
(.f64 (sqrt.f64 (fma.f64 t z (.f64 z x))) (sqrt.f64 (fma.f64 t z (*.f64 z x))))
(.f64 (cbrt.f64 (fma.f64 t z (.f64 z x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (.f64 z x))) 2) (cbrt.f64 (fma.f64 t z (*.f64 z x))))
(.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (/.f64 1 (fma.f64 t z (*.f64 z x))))
(.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (*.f64 z x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (.f64 z x))) (-.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (*.f64 z x))))
(/.f64 1 (/.f64 (fma.f64 t z (.f64 z x)) (pow.f64 (fma.f64 t z (.f64 z x)) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x))) (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3))))
(/.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (fma.f64 t z (.f64 z x)))
(/.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x))))
(/.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (+.f64 (pow.f64 (.f64 z x) 2) (-.f64 (pow.f64 (.f64 t z) 2) (.f64 (.f64 t z) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (.f64 z x) 2) (pow.f64 (.f64 t z) 2)) (-.f64 (.f64 z x) (.f64 t z)))
(/.f64 (-.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2)) (neg.f64 (fma.f64 t z (.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x)))))
(pow.f64 (fma.f64 t z (*.f64 z x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 t z (*.f64 z x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) 3)
(pow.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2))
(log.f64 (exp.f64 (fma.f64 t z (*.f64 z x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 t) z) (pow.f64 (exp.f64 x) z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 t z (*.f64 z x)))))
(cbrt.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 t z (*.f64 z x))))
(exp.f64 (log.f64 (fma.f64 t z (*.f64 z x))))
(exp.f64 (.f64 (log.f64 (fma.f64 t z (.f64 z x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 t z (*.f64 z x))))
(fma.f64 t z (*.f64 z x))
(fma.f64 z t (*.f64 z x))
(fma.f64 -1 (.f64 z x) (.f64 t z))
(fma.f64 (.f64 z x) -1 (.f64 t z))
(fma.f64 1 (.f64 t z) (.f64 z x))
(fma.f64 1 (.f64 z x) (.f64 t z))
(fma.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (.f64 t z)) (*.f64 z x))
(fma.f64 (sqrt.f64 (.f64 z x)) (sqrt.f64 (.f64 z x)) (*.f64 t z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 t z)) 2) (cbrt.f64 (.f64 t z)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (cbrt.f64 (.f64 z x)) (*.f64 t z))
(fma.f64 (neg.f64 z) x (*.f64 t z))

Outputs
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(*.f64 t z)
(*.f64 z t)
(*.f64 t z)
(*.f64 z t)
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(-.f64 (.f64 t z) (.f64 z x))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 t z (*.f64 z x)))) 1)
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(-.f64 (/.f64 (pow.f64 (.f64 t z) 2) (fma.f64 t z (.f64 z x))) (/.f64 (pow.f64 (.f64 z x) 2) (fma.f64 t z (.f64 z x))))
(-.f64 (/.f64 (pow.f64 (.f64 z t) 2) (fma.f64 z t (.f64 z x))) (/.f64 (pow.f64 (.f64 z x) 2) (fma.f64 z t (.f64 z x))))
(-.f64 (/.f64 (pow.f64 (.f64 z t) 2) (.f64 z (+.f64 t x))) (/.f64 (pow.f64 (.f64 z x) 2) (.f64 z (+.f64 t x))))
(-.f64 (/.f64 (pow.f64 (.f64 z t) 2) (.f64 z (+.f64 x t))) (/.f64 (pow.f64 (.f64 z x) 2) (.f64 z (+.f64 x t))))
(.f64 (fma.f64 t z (.f64 z x)) 1)
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(.f64 1 (fma.f64 t z (.f64 z x)))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(.f64 (sqrt.f64 (fma.f64 t z (.f64 z x))) (sqrt.f64 (fma.f64 t z (*.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(.f64 (cbrt.f64 (fma.f64 t z (.f64 z x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) 2))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (.f64 z x))) 2) (cbrt.f64 (fma.f64 t z (*.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (/.f64 1 (fma.f64 t z (*.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (*.f64 z x)))))
(.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 z t (.f64 z x)) 2) (.f64 t (.f64 z (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 t x)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 x t)) 2) (.f64 z (.f64 x (.f64 z t)))))
(.f64 (+.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (.f64 z x))) (-.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (*.f64 z x))))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(/.f64 1 (/.f64 (fma.f64 t z (.f64 z x)) (pow.f64 (fma.f64 t z (.f64 z x)) 2)))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x))) (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3))))
(.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 z t (.f64 z x)) 2) (.f64 t (.f64 z (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 t x)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 x t)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (fma.f64 t z (.f64 z x)))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(/.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x))))
(.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 z t (.f64 z x)) 2) (.f64 t (.f64 z (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 t x)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 x t)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (+.f64 (pow.f64 (.f64 z x) 2) (-.f64 (pow.f64 (.f64 t z) 2) (.f64 (.f64 t z) (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (+.f64 (pow.f64 (.f64 z x) 2) (-.f64 (pow.f64 (.f64 z t) 2) (.f64 t (.f64 z (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (+.f64 (pow.f64 (.f64 z x) 2) (.f64 (.f64 z t) (.f64 z (-.f64 t x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 (.f64 z t) (.f64 z (-.f64 t x)) (pow.f64 (*.f64 z x) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 z x) 2) (pow.f64 (.f64 t z) 2)) (-.f64 (.f64 z x) (.f64 t z)))
(/.f64 (-.f64 (pow.f64 (.f64 z x) 2) (pow.f64 (.f64 z t) 2)) (-.f64 (.f64 z x) (.f64 z t)))
(/.f64 (-.f64 (pow.f64 (.f64 z x) 2) (pow.f64 (.f64 z t) 2)) (*.f64 z (-.f64 x t)))
(/.f64 (-.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (fma.f64 z t (.f64 z x)) 2) (.f64 t (.f64 z (.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 t x)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (-.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 x t)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2)) (neg.f64 (fma.f64 t z (.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 t z) 3) (pow.f64 (.f64 z x) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 t z (.f64 z x)) 2) (.f64 (.f64 t z) (.f64 z x)))))
(.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 z t (.f64 z x)) 2) (.f64 t (.f64 z (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 t x)) 2) (.f64 z (.f64 x (.f64 z t)))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (pow.f64 (.f64 z x) 3)) (-.f64 (pow.f64 (.f64 z (+.f64 x t)) 2) (.f64 z (.f64 x (.f64 z t)))))
(pow.f64 (fma.f64 t z (*.f64 z x)) 1)
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(pow.f64 (sqrt.f64 (fma.f64 t z (*.f64 z x))) 2)
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 z x))) 3)
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(pow.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 3) 1/3)
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(sqrt.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 2))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(log.f64 (exp.f64 (fma.f64 t z (*.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(log.f64 (/.f64 (pow.f64 (exp.f64 t) z) (pow.f64 (exp.f64 x) z)))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 t z (*.f64 z x)))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(cbrt.f64 (pow.f64 (fma.f64 t z (*.f64 z x)) 3))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(expm1.f64 (log1p.f64 (fma.f64 t z (*.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(exp.f64 (log.f64 (fma.f64 t z (*.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(exp.f64 (.f64 (log.f64 (fma.f64 t z (.f64 z x))) 1))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(log1p.f64 (expm1.f64 (fma.f64 t z (*.f64 z x))))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 t z (*.f64 z x))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 -1 (.f64 z x) (.f64 t z))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(fma.f64 (.f64 z x) -1 (.f64 t z))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))
(fma.f64 1 (.f64 t z) (.f64 z x))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 1 (.f64 z x) (.f64 t z))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (.f64 t z)) (*.f64 z x))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 (sqrt.f64 (.f64 z x)) (sqrt.f64 (.f64 z x)) (*.f64 t z))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 t z)) 2) (cbrt.f64 (.f64 t z)) (*.f64 z x))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (cbrt.f64 (.f64 z x)) (*.f64 t z))
(fma.f64 z t (*.f64 z x))
(*.f64 z (+.f64 t x))
(*.f64 z (+.f64 x t))
(fma.f64 (neg.f64 z) x (*.f64 t z))
(*.f64 z (+.f64 t (neg.f64 x)))
(*.f64 z (-.f64 t x))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 y (-.f64 t x))
✓	0.38%	(/.f64 y (/.f64 1 z))
✓	24.38%	(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(/.f64 y (-.f64 t x))
0.0ms	y	@	-inf	(/.f64 y (-.f64 t x))
0.0ms	y	@	0	(/.f64 y (-.f64 t x))
0.0ms	x	@	0	(/.f64 y (-.f64 t x))
0.0ms	y	@	inf	(/.f64 y (-.f64 t x))

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`distribute-rgt-in`
682×	`distribute-lft-in`
668×	`distribute-lft-neg-in`
600×	`distribute-rgt-neg-in`
284×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	270	45
2	4155	45

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(/.f64 y (/.f64 1 z))
(/.f64 y (-.f64 t x))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) t) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) x) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 t t)) (*.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 x (+.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 x (+.f64 t x))) (*.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (+.f64 (*.f64 t t) (*.f64 x x))) (*.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (*.f64 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x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 y (-.f64 t x)))) (neg.f64 (sqrt.f64 (/.f64 y (-.f64 t x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (-.f64 t x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 t x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 t x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 t x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 t x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 t x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 t x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 t x))))))))

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1748×	`times-frac`
898×	`associate-r`
886×	`associate-l`
742×	`associate-/l*`
634×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	5521
1	1347	5275
2	7721	5275

Stop Event

1×	node limit

Counts

283 → 242

Calls

Call 1

Inputs
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 t 3)) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(/.f64 y t)
(+.f64 (/.f64 (*.f64 y x) (pow.f64 t 2)) (/.f64 y t))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (/.f64 y t)))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 t 4)) (/.f64 y t))))
(/.f64 y t)
(+.f64 (/.f64 (*.f64 y x) (pow.f64 t 2)) (/.f64 y t))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (/.f64 y t)))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 t 4)) (/.f64 y t))))
(/.f64 y t)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (cbrt.f64 (/.f64 y (-.f64 t x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (-.f64 t x)))) (sqrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))) (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))))) (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (-.f64 t x))))) (sqrt.f64 (/.f64 y (-.f64 t x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 2))) (cbrt.f64 (/.f64 y (-.f64 t x))))
(pow.f64 (/.f64 y (-.f64 t x)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 t x))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 t x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 t x) y) -1)
(neg.f64 (/.f64 (neg.f64 y) (-.f64 t x)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 t x)) 2))
(log.f64 (exp.f64 (/.f64 y (-.f64 t x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 t x)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 t x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 t x) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 t x))))
(exp.f64 (log.f64 (/.f64 y (-.f64 t x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 t x))))

Outputs
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
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(*.f64 (-.f64 t x) z)
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(*.f64 z y)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
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(-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x)))
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(fma.f64 -1 (/.f64 (.f64 t y) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (.f64 t t))) (/.f64 y x))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) x) (.f64 (/.f64 y (pow.f64 x 3)) (.f64 t t))) (*.f64 (/.f64 y x) (/.f64 t x)))
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(fma.f64 -1 (/.f64 (.f64 t y) (.f64 x x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 t 3))) (.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (.f64 t t))) (/.f64 y x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (.f64 (/.f64 y (pow.f64 x 3)) (.f64 t t))) (.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 t 3))) (.f64 (/.f64 y x) (/.f64 t x)))
(/.f64 y t)
(+.f64 (/.f64 (*.f64 y x) (pow.f64 t 2)) (/.f64 y t))
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(+.f64 (/.f64 y t) (*.f64 (/.f64 y t) (/.f64 x t)))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (/.f64 y t)))
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))) (/.f64 y (/.f64 (.f64 t t) x))) (/.f64 y t))
(+.f64 (/.f64 y t) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x)))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 t 4)) (/.f64 y t))))
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))) (/.f64 y (/.f64 (.f64 t t) x))) (+.f64 (/.f64 y t) (/.f64 y (/.f64 (pow.f64 t 4) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 y t) (.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 x 3))) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 y t) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))))) (*.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 x 3)))
(/.f64 y t)
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(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))) (/.f64 y (/.f64 (.f64 t t) x))) (/.f64 y t))
(+.f64 (/.f64 y t) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x)))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 t 4)) (/.f64 y t))))
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))) (/.f64 y (/.f64 (.f64 t t) x))) (+.f64 (/.f64 y t) (/.f64 y (/.f64 (pow.f64 t 4) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 y t) (.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 x 3))) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 y t) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))))) (*.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 x 3)))
(/.f64 y t)
(+.f64 (/.f64 (*.f64 y x) (pow.f64 t 2)) (/.f64 y t))
(+.f64 (/.f64 y t) (/.f64 y (/.f64 (*.f64 t t) x)))
(+.f64 (/.f64 y t) (*.f64 (/.f64 y t) (/.f64 x t)))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (/.f64 y t)))
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))) (/.f64 y (/.f64 (.f64 t t) x))) (/.f64 y t))
(+.f64 (/.f64 y t) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x)))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (.f64 y x) (pow.f64 t 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 t 4)) (/.f64 y t))))
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))) (/.f64 y (/.f64 (.f64 t t) x))) (+.f64 (/.f64 y t) (/.f64 y (/.f64 (pow.f64 t 4) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 y t) (.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 x 3))) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 y t) (+.f64 (.f64 (/.f64 y t) (/.f64 x t)) (/.f64 y (/.f64 (pow.f64 t 3) (.f64 x x))))) (*.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 x 3)))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
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(fma.f64 -1 (/.f64 (.f64 t y) (.f64 x x)) (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x)))
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(fma.f64 -1 (/.f64 (.f64 t y) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (.f64 t t))) (/.f64 y x))))
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(+.f64 (.f64 (.f64 t t) (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (.f64 (.f64 x (+.f64 t x)) (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3)))))
(.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 t x))))
(+.f64 (.f64 (.f64 x (+.f64 t x)) (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (.f64 (.f64 t t) (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3)))))
(.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 t x))))
(+.f64 (.f64 (+.f64 (.f64 t t) (.f64 x x)) (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (.f64 (*.f64 t x) (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3)))))
(.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 t x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 t x)))) 1)
(/.f64 y (-.f64 t x))
(*.f64 y (/.f64 1 (-.f64 t x)))
(/.f64 y (-.f64 t x))
(*.f64 y (neg.f64 (/.f64 -1 (-.f64 t x))))
(/.f64 y (-.f64 t x))
(*.f64 1 (/.f64 y (-.f64 t x)))
(/.f64 y (-.f64 t x))
(*.f64 (/.f64 y (-.f64 t x)) 1)
(/.f64 y (-.f64 t x))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 t x))) (sqrt.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 t x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (-.f64 t x))))))
(/.f64 y (-.f64 t x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (-.f64 t x))))
(/.f64 y (-.f64 t x))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 2))
(/.f64 y (-.f64 t x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 2) (cbrt.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 y (-.f64 t x))))))
(/.f64 y (-.f64 t x))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (-.f64 t x))))
(/.f64 y (-.f64 t x))
(*.f64 (/.f64 1 (-.f64 t x)) y)
(/.f64 y (-.f64 t x))
(*.f64 -1 (/.f64 (neg.f64 y) (-.f64 t x)))
(/.f64 y (-.f64 t x))
(*.f64 (neg.f64 y) (/.f64 -1 (-.f64 t x)))
(/.f64 y (-.f64 t x))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (-.f64 t x)))))
(/.f64 y (-.f64 t x))
(.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))) (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x)))))
(/.f64 y (-.f64 t x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 t x))) (/.f64 y (sqrt.f64 (-.f64 t x))))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 t x))) (sqrt.f64 (-.f64 t x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (/.f64 y (cbrt.f64 (-.f64 t x))))
(/.f64 (/.f64 y (cbrt.f64 (-.f64 t x))) (pow.f64 (cbrt.f64 (-.f64 t x)) 2))
(.f64 (/.f64 y (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))
(.f64 (/.f64 y (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (.f64 x (+.f64 t x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (-.f64 t x)))) (neg.f64 (sqrt.f64 (/.f64 y (-.f64 t x)))))
(/.f64 y (-.f64 t x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (-.f64 t x)))))
(/.f64 y (-.f64 t x))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 t x)))
(/.f64 y (-.f64 t x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 t x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (/.f64 y (cbrt.f64 (-.f64 t x))))
(/.f64 (/.f64 y (cbrt.f64 (-.f64 t x))) (pow.f64 (cbrt.f64 (-.f64 t x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 t x)))
(/.f64 y (-.f64 t x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 t x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 t x))) (/.f64 y (sqrt.f64 (-.f64 t x))))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 t x))) (sqrt.f64 (-.f64 t x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (cbrt.f64 (/.f64 y (-.f64 t x))))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 t x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (-.f64 t x)))) (sqrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))))
(/.f64 y (-.f64 t x))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))) (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))))) (cbrt.f64 (/.f64 (neg.f64 y) (-.f64 t x))))
(/.f64 y (-.f64 t x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (-.f64 t x))))) (sqrt.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 2))) (cbrt.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
(pow.f64 (/.f64 y (-.f64 t x)) 1)
(/.f64 y (-.f64 t x))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 t x))) 2)
(/.f64 y (-.f64 t x))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 t x))) 3)
(/.f64 y (-.f64 t x))
(pow.f64 (pow.f64 (/.f64 y (-.f64 t x)) 3) 1/3)
(/.f64 y (-.f64 t x))
(pow.f64 (/.f64 (-.f64 t x) y) -1)
(/.f64 y (-.f64 t x))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 t x)))
(/.f64 y (-.f64 t x))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 t x)) 2))
(fabs.f64 (/.f64 y (-.f64 t x)))
(log.f64 (exp.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 t x)))))
(/.f64 y (-.f64 t x))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 t x)) 3))
(/.f64 y (-.f64 t x))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 t x) 3)))
(/.f64 y (-.f64 t x))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
(exp.f64 (log.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) 1))
(/.f64 y (-.f64 t x))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.84%	(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
✓	2.62%	(*.f64 z (tanh.f64 (/.f64 t y)))
✓	6.98%	(.f64 y (.f64 z (tanh.f64 (/.f64 t y))))
✓	18.33%	(cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))))

Compiler

Compiled 49 to 12 computations (75.5% saved)

series60.0ms (0.4%)

Counts

4 → 104

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	z	@	-inf	(cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))))
6.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
5.0ms	y	@	inf	(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
4.0ms	y	@	-inf	(cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))))
3.0ms	t	@	inf	(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)

rewrite151.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`associate-*r/`
1400×	`associate-*l/`
980×	`associate-/r*`
576×	`associate-/l*`
280×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	90
1	286	90
2	3562	90

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

Inputs
(cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y)))))
(.f64 y (.f64 z (tanh.f64 (/.f64 t y))))
(*.f64 z (tanh.f64 (/.f64 t y)))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y z) (/.f64 1 (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) 1) (/.f64 1 (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 2 (cosh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z (.f64 2 (sinh.f64 (/.f64 t y))))) (.f64 2 (cosh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z (expm1.f64 (/.f64 2 (/.f64 y t))))) (+.f64 1 (pow.f64 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simplify290.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1106×	`*-commutative`
1048×	`times-frac`
920×	`fma-def`
716×	`associate-/r*`
520×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	860	42900
1	2566	24038

Stop Event

1×	node limit

Counts

376 → 366

Calls

Call 1

Inputs
(pow.f64 (*.f64 t z) 1/3)
(+.f64 (pow.f64 (.f64 t z) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 t 2)) 1/9) (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))
(+.f64 (pow.f64 (.f64 t z) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 1/3) (/.f64 (-.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 17)) t) 1/9) (pow.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) 2)))) (pow.f64 y 2)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 t 2)) 1/9) (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))))
(+.f64 (pow.f64 (.f64 t z) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 1/3) (/.f64 (-.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/6 (pow.f64 t 4)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)))))) (+.f64 (.f64 -1/2 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3))))) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))))))) (+.f64 (.f64 1/216 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 t 2)) 1/3) (pow.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 4)) (pow.f64 t 5)) 1/9) (.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) (-.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 17)) t) 1/9) (pow.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) 2))))))))) (pow.f64 y 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 1/3) (/.f64 (-.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 17)) t) 1/9) (pow.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) 2)))) (pow.f64 y 2)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 t 2)) 1/9) (/.f64 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))))
(.f64 (pow.f64 (.f64 1 (*.f64 t z)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
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(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) z) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (expm1.f64 (/.f64 2 (/.f64 y t))) z) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (expm1.f64 (/.f64 2 (/.f64 y t))) z) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (/.f64 2 (/.f64 y t))) z) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) z) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) z) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) z) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (tanh.f64 (/.f64 t y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (tanh.f64 (/.f64 t y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) 2))
(log.f64 (pow.f64 (exp.f64 z) (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (tanh.f64 (/.f64 t y))))))
(cbrt.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (tanh.f64 (/.f64 t y)))))
(exp.f64 (log.f64 (*.f64 z (tanh.f64 (/.f64 t y)))))
(exp.f64 (.f64 (log.f64 (.f64 z (tanh.f64 (/.f64 t y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (tanh.f64 (/.f64 t y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))) 1)
(.f64 y (.f64 z (tanh.f64 (/.f64 t y))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))
(.f64 (.f64 z (tanh.f64 (/.f64 t y))) y)
(.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) 2))
(.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) 1)
(.f64 1 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))
(.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 1/6) (.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 1/6) (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) 2)))
(.f64 (sqrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))) (.f64 (sqrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))) y))
(.f64 (sqrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) (sqrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 z (tanh.f64 (/.f64 t y)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))) 2) (.f64 (cbrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) 2) (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))) (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) 2)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (*.f64 z (tanh.f64 (/.f64 t y)))))
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
(.f64 (.f64 y (sqrt.f64 (.f64 z (tanh.f64 (/.f64 t y))))) (sqrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))) 2)) (cbrt.f64 (.f64 z (tanh.f64 (/.f64 t y)))))
(.f64 (.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) 2) 1) (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) 2) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 1/6)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))) 2) (cbrt.f64 y)) (cbrt.f64 (*.f64 z (tanh.f64 (/.f64 t y)))))
(.f64 (.f64 (*.f64 y z) 1) (tanh.f64 (/.f64 t y)))
(.f64 (.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (tanh.f64 (/.f64 t y))))
(.f64 (.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (tanh.f64 (/.f64 t y))))
(.f64 (.f64 y (tanh.f64 (/.f64 t y))) z)
(.f64 (pow.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 1/6) 3) (pow.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))) 2) 3) (cbrt.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))))
(/.f64 (*.f64 y z) (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) 1) (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 z (.f64 2 (sinh.f64 (/.f64 t y))))) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 y (.f64 z (expm1.f64 (/.f64 2 (/.f64 y t))))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) z)) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 y (.f64 (expm1.f64 (/.f64 2 (/.f64 y t))) z)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 y (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) z)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y))))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (*.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t))))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 1 (.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (neg.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (expm1.f64 (/.f64 2 (/.f64 y t))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) 1) 1) (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 y z) 1) (.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (*.f64 y z) 1) (expm1.f64 (/.f64 2 (/.f64 y t)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (*.f64 y z) 1) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 y z) 1) (neg.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) 1) (neg.f64 (expm1.f64 (/.f64 2 (/.f64 y t))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) 1) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (expm1.f64 (/.f64 2 (/.f64 y t))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (expm1.f64 (/.f64 2 (/.f64 y t))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 (.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (.f64 2 (sinh.f64 (/.f64 t y))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) (.f64 y z)) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (expm1.f64 (/.f64 2 (/.f64 y t))) (.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 y z)) (neg.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (/.f64 2 (/.f64 y t)))) (.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (.f64 (.f64 z (.f64 2 (sinh.f64 (/.f64 t y)))) y) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 z (expm1.f64 (/.f64 2 (/.f64 y t)))) y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (/.f64 t y))) z) y) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (expm1.f64 (/.f64 2 (/.f64 y t))) z) y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) z) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (.f64 (*.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (.f64 (.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) 1) (.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(sqrt.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 y z)) (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))))
(cbrt.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 3))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 z (tanh.f64 (/.f64 t y))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 z (tanh.f64 (/.f64 t y))) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))))
(exp.f64 (log.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))))

Outputs
(pow.f64 (*.f64 t z) 1/3)
(cbrt.f64 (*.f64 t z))
(+.f64 (pow.f64 (.f64 t z) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 t 2)) 1/9) (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))
(+.f64 (.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (.f64 t t)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (.f64 t t)) 1/18)) (/.f64 (.f64 0 (.f64 t t)) y))) (cbrt.f64 (.f64 t z)))
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(.f64 1 (/.f64 (.f64 (*.f64 z y) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (.f64 2 (cosh.f64 (/.f64 t y))) (.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))))
(.f64 1 (/.f64 (.f64 (*.f64 z y) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 2 (sinh.f64 (/.f64 t y)))) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (.f64 2 (cosh.f64 (/.f64 t y))) (.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))))
(.f64 1 (/.f64 (.f64 (*.f64 z y) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (expm1.f64 (/.f64 2 (/.f64 y t)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(/.f64 (/.f64 (.f64 (.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(sqrt.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 2))
(sqrt.f64 (pow.f64 (.f64 z (.f64 y (tanh.f64 (/.f64 t y)))) 2))
(fabs.f64 (.f64 z (.f64 y (tanh.f64 (/.f64 t y)))))
(log.f64 (pow.f64 (exp.f64 (*.f64 y z)) (tanh.f64 (/.f64 t y))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(cbrt.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) 3))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 z (tanh.f64 (/.f64 t y))) 3)))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(cbrt.f64 (.f64 (pow.f64 (.f64 z (tanh.f64 (/.f64 t y))) 3) (pow.f64 y 3)))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(expm1.f64 (log1p.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(exp.f64 (log.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(exp.f64 (.f64 (log.f64 (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) 1))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))
(log1p.f64 (expm1.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))))
(.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))
(.f64 z (.f64 y (tanh.f64 (/.f64 t y))))

eval614.0ms (4.1%)

Compiler: Compiled 29379 to 17402 computations (40.8% saved)

prune240.0ms (1.6%)

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	802	8	810
Fresh	2	18	20
Picked	0	1	1
Done	2	8	10
Total	806	35	841

Error

0.32%

Counts

841 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	40.8%	(fma.f64 z (/.f64 (.f64 (-.f64 0 (.f64 y y)) (tanh.f64 (/.f64 x y))) y) x)
✓	3.16%	(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
✓	74.54%	(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
	94.45%	(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
	91.91%	(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
	94.79%	(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
	88.98%	(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
	93.39%	(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
	90.4%	(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
	88.97%	(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
	83.4%	(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
	86.12%	(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
	79.9%	(-.f64 (.f64 t z) (.f64 z x))
	36.4%	(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
	54.05%	(-.f64 x (*.f64 x z))
	71.32%	(+.f64 (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (.f64 y z)) (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))
	47.67%	(+.f64 (*.f64 z t) x)
✓	9.38%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	23.25%	(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
	90.45%	(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
	79.91%	(*.f64 (-.f64 t x) z)
	94.53%	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
	91.96%	(.f64 (.f64 y z) (/.f64 t y))
	71.32%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (expm1.f64 (*.f64 2 (/.f64 x y)))) -1)))
✓	71.32%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
	74.75%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
✓	69.09%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
	83.93%	(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (.f64 2 (cosh.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 2 (cosh.f64 (/.f64 x y))))))
	81.69%	(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))
	92.07%	(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
✓	77.6%	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
	83.58%	(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
✓	87.08%	(*.f64 t z)
✓	90.31%	(neg.f64 (*.f64 z x))
	37.74%	x

Compiler

Compiled 600 to 384 computations (36% saved)

regimes148.0ms (1%)

Counts

55 → 1

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(fabs.f64 (.f64 z (.f64 (tanh.f64 (/.f64 t y)) y)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) x)
(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 z (/.f64 (.f64 (-.f64 0 (.f64 y y)) (tanh.f64 (/.f64 x y))) y) x)
(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y))))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (log1p.f64 (expm1.f64 (tanh.f64 (/.f64 x y)))))))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))))
(+.f64 (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 2 (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (.f64 y z)) (.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (expm1.f64 (*.f64 2 (/.f64 x y)))) -1)))
(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (.f64 2 (cosh.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 2 (cosh.f64 (/.f64 x y))))))
(+.f64 x (.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (.f64 2 (cosh.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 2 (cosh.f64 (/.f64 x y)))))))
(.f64 y (.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z))
(.f64 (.f64 y z) (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))

Outputs
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)

Calls

5 calls:

31.0ms	x
26.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
26.0ms	z
25.0ms	t
24.0ms	y

Results

Error	Segments	Branch
3.16%	1	`x`
3.16%	1	`y`
3.16%	1	`z`
3.16%	1	`t`
3.16%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 776 to 270 computations (65.2% saved)

regimes213.0ms (1.4%)

Counts

44 → 3

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(fabs.f64 (.f64 z (.f64 (tanh.f64 (/.f64 t y)) y)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) x)
(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 z (/.f64 (.f64 (-.f64 0 (.f64 y y)) (tanh.f64 (/.f64 x y))) y) x)
(pow.f64 (cbrt.f64 (.f64 y (.f64 z (tanh.f64 (/.f64 t y))))) 3)

Outputs
(*.f64 z (-.f64 t x))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(-.f64 (.f64 t z) (.f64 z x))

Calls

5 calls:

59.0ms	x
53.0ms	y
51.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.0ms	z
19.0ms	t

Results

Error	Segments	Branch
6.73%	3	`x`
3.43%	3	`y`
9.38%	1	`z`
9.38%	1	`t`
1.57%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 485 to 159 computations (67.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5307289987326997e+304	+inf
0.0ms	-inf	-7.756761967927032e+304

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes213.0ms (1.4%)

Counts

41 → 4

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(fabs.f64 (.f64 z (.f64 (tanh.f64 (/.f64 t y)) y)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) x)
(fma.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) x)
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Outputs
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) x)
(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) x)

Calls

4 calls:

66.0ms	x
65.0ms	y
55.0ms	t
18.0ms	z

Results

Error	Segments	Branch
14.55%	4	`x`
14.34%	4	`y`
19.66%	1	`z`
14.37%	3	`t`

Compiler

Compiled 425 to 135 computations (68.2% saved)

bsearch38.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-3.6200095234189506e-62	-1.229385606613853e-62
16.0ms	-7318877916586562.0	-1630201657168232.3
11.0ms	-8.001439493157794e+139	-2.919767621061273e+139

Results

34.0ms	255×	body	256	valid
1.0ms	5×	body	256	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 490 to 322 computations (34.3% saved)

regimes202.0ms (1.4%)

Counts

38 → 5

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(fabs.f64 (.f64 z (.f64 (tanh.f64 (/.f64 t y)) y)))

Outputs
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z)))
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(+.f64 (*.f64 (-.f64 t x) z) x)

Calls

4 calls:

73.0ms	y
60.0ms	x
45.0ms	t
17.0ms	z

Results

Error	Segments	Branch
19.36%	4	`x`
13.99%	5	`y`
23.25%	1	`z`
18.44%	3	`t`

Compiler

Compiled 393 to 129 computations (67.2% saved)

bsearch58.0ms (0.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.3201023471228532e+176	8.207707136614798e+182
12.0ms	-3.6200095234189506e-62	-1.229385606613853e-62
13.0ms	-7318877916586562.0	-1630201657168232.3
12.0ms	-8.001439493157794e+139	-2.919767621061273e+139

Results

48.0ms	393×	body	256	valid
3.0ms	27×	body	256	infinite
1.0ms	6×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 749 to 500 computations (33.2% saved)

regimes329.0ms (2.2%)

Counts

34 → 3

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))

Outputs
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)))
(+.f64 (*.f64 (-.f64 t x) z) x)

Calls

4 calls:

102.0ms	t
100.0ms	x
48.0ms	y
17.0ms	z

Results

Error	Segments	Branch
21.67%	3	`x`
16.52%	3	`y`
23.25%	1	`z`
20.09%	3	`t`

Compiler

Compiled 348 to 120 computations (65.5% saved)

bsearch37.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.3201023471228532e+176	8.207707136614798e+182
12.0ms	-8.001439493157794e+139	-2.919767621061273e+139

Results

30.0ms	223×	body	256	valid
3.0ms	27×	body	256	infinite
0.0ms	1×	body	1024	valid

Compiler

Compiled 419 to 280 computations (33.2% saved)

regimes528.0ms (3.5%)

Counts

33 → 6

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))

Outputs
x
(+.f64 (*.f64 (-.f64 t x) z) x)
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
x

Calls

4 calls:

243.0ms	t
222.0ms	x
41.0ms	y
15.0ms	z

Results

Error	Segments	Branch
25.18%	6	`x`
25.51%	3	`y`
37.74%	1	`z`
30.79%	6	`t`

Compiler

Compiled 338 to 118 computations (65.1% saved)

bsearch176.0ms (1.2%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.5608628587014377e-158	3.321743864647709e-156
25.0ms	-1.0491234810456835e-303	5.750044528897074e-302
9.0ms	-1.0185623380044755e-264	-7.396353284892226e-265
67.0ms	-1.337353973640603e-201	-2.328436232650672e-204
59.0ms	-6.599989737622138e-139	-1.4578968217022135e-141

Results

165.0ms	581×	body	256	valid
2.0ms	6×	body	1024	valid
1.0ms	5×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 895 to 622 computations (30.5% saved)

regimes233.0ms (1.6%)

Counts

32 → 3

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 (neg.f64 y) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y (-.f64 t x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 y z) (/.f64 1 (-.f64 t x))))
(/.f64 (/.f64 y (/.f64 1 z)) (*.f64 (/.f64 1 (-.f64 t x)) y))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) z) (+.f64 t x)) x)
(/.f64 (/.f64 y (/.f64 1 z)) (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 t x))))
(.f64 (.f64 y z) (.f64 (-.f64 t x) (/.f64 (/.f64 (-.f64 (.f64 t t) (.f64 x x)) y) (-.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (/.f64 (-.f64 t x) y)) (/.f64 (+.f64 (/.f64 x y) (/.f64 t y)) (.f64 z y)))

Outputs
(+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x)
x
(+.f64 (*.f64 (-.f64 t x) z) x)

Calls

4 calls:

86.0ms	x
85.0ms	t
40.0ms	y
14.0ms	z

Results

Error	Segments	Branch
29.76%	3	`x`
25.51%	3	`y`
37.74%	1	`z`
33.08%	5	`t`

Compiler

Compiled 330 to 116 computations (64.8% saved)

bsearch68.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	244.8404027737562	2052.041248666333
20.0ms	-3.6771577022534374e+96	-1.2771013769869913e+92

Results

63.0ms	221×	body	256	valid
1.0ms	11×	body	256	infinite
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 302 to 216 computations (28.5% saved)

regimes136.0ms (0.9%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))
(+.f64 (*.f64 (-.f64 t x) z) x)
(-.f64 (.f64 t z) (.f64 z x))
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(.f64 y (.f64 z (/.f64 (-.f64 t x) y)))
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(/.f64 y (/.f64 (/.f64 y (-.f64 t x)) z))
(/.f64 z (/.f64 y (*.f64 y (-.f64 t x))))
(/.f64 z (/.f64 (/.f64 y (-.f64 t x)) y))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
(/.f64 (/.f64 y (/.f64 1 z)) (/.f64 y t))

Outputs
(+.f64 (*.f64 (-.f64 t x) z) x)
x
(+.f64 (*.f64 (-.f64 t x) z) x)

Calls

4 calls:

57.0ms	t
33.0ms	y
30.0ms	x
11.0ms	z

Results

Error	Segments	Branch
29.77%	3	`x`
25.52%	3	`y`
37.74%	1	`z`
33.09%	5	`t`

Compiler

Compiled 168 to 63 computations (62.5% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	244.8404027737562	2052.041248666333
21.0ms	-3.6771577022534374e+96	-1.2771013769869913e+92

Results

28.0ms	220×	body	256	valid
4.0ms	8×	body	256	infinite
1.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 278 to 200 computations (28.1% saved)

regimes75.0ms (0.5%)

Counts

9 → 5

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (.f64 y z) (/.f64 t y))

Outputs
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 z t) x)
x
(+.f64 (*.f64 z t) x)

Calls

4 calls:

28.0ms	y
22.0ms	x
17.0ms	t
6.0ms	z

Results

Error	Segments	Branch
31.85%	3	`x`
28.1%	5	`y`
37.74%	1	`z`
34.7%	3	`t`

Compiler

Compiled 65 to 36 computations (44.6% saved)

bsearch79.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2052.041248666333	753566.6578790814
22.0ms	-3.6771577022534374e+96	-1.2771013769869913e+92
17.0ms	-1.1344265852479699e+121	-3.336853555722269e+119
22.0ms	-2.8871142669510164e+211	-6.045885959642239e+208

Results

66.0ms	490×	body	256	valid
5.0ms	39×	body	256	infinite
2.0ms	5×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 582 to 420 computations (27.8% saved)

regimes48.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 z t) x)

Outputs
(+.f64 (*.f64 z t) x)
x
(+.f64 (*.f64 z t) x)

Calls

4 calls:

14.0ms	y
14.0ms	t
13.0ms	x
5.0ms	z

Results

Error	Segments	Branch
31.85%	3	`x`
29.95%	3	`y`
37.74%	1	`z`
34.93%	3	`t`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2052.041248666333	753566.6578790814
20.0ms	-3.6771577022534374e+96	-1.2771013769869913e+92

Results

37.0ms	253×	body	256	valid
2.0ms	13×	body	256	infinite
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 282 to 210 computations (25.5% saved)

regimes39.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)

Outputs
(*.f64 z (-.f64 t x))
x
(*.f64 z (-.f64 t x))

Calls

4 calls:

17.0ms	x
12.0ms	y
5.0ms	z
4.0ms	t

Results

Error	Segments	Branch
32.7%	3	`x`
31.56%	3	`y`
37.74%	1	`z`
37.74%	1	`t`

Compiler

Compiled 42 to 26 computations (38.1% saved)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.162173661868527e+121	1.558210682122413e+124
18.0ms	-3.973834955729597e+158	-1.896188276289639e+155

Results

30.0ms	239×	body	256	valid
1.0ms	11×	body	256	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 266 to 198 computations (25.6% saved)

regimes30.0ms (0.2%)

Accuracy

Total -41.4b remaining (-194.2%)

Threshold costs -41.4b (-194.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 t z)
(neg.f64 (*.f64 z x))

Outputs
x
(*.f64 t z)
x

Calls

4 calls:

12.0ms	y
10.0ms	x
3.0ms	t
3.0ms	z

Results

Error	Segments	Branch
33.28%	3	`x`
33.31%	4	`y`
37.74%	1	`z`
37.74%	1	`t`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.3692635068195138e-245	9.187691925454831e-234
14.0ms	-2.8742167564996717e-226	-2.0997512413303873e-227

Results

31.0ms	254×	body	256	valid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 250 to 194 computations (22.4% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
38×	`*-commutative`
16×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1029
1	188	1029
2	209	1029
3	225	1029
4	233	1029
5	236	1029
6	237	1029

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) -inf.0) (.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (.f64 t z) (*.f64 z x))))
(if (<=.f64 y -68000000000000004877450124426929369178778086643537754608456044842719673607712764794615254407930847363265408084195065009712945463219814662144) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 y -1650000000000000) (fma.f64 z (.f64 y (tanh.f64 (/.f64 t y))) x) (if (<=.f64 y -7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872) (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z))) (fma.f64 z (.f64 y (tanh.f64 (/.f64 t y))) x))))
(if (<=.f64 y -46000000000000000188599936922929401729571961987000058336757051679339923748046657246212478046252769333083256340648262341435406519127012016128) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 y -1650000000000000) (+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))) (if (<=.f64 y -4168515212543383/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z))) (if (<=.f64 y 175000000000000001303571587863005981002349114252051927662937444729711974181867828046150978365433735221481480455487313099651950920741710307040849617195341796491894307038076862464) (+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))) (+.f64 (*.f64 (-.f64 t x) z) x)))))
(if (<=.f64 y -37999999999999999925867437009289993097675861456123164772658544269269947692856353281860467521230950031611660302373682856806218594053320081408) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 y 95000000000000003182055734695818400232785698392689640252499456490754934189858100161564057624839499224276609604404512829410417062553420770158150408427907518478854544725081845661696) (+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))) (+.f64 (*.f64 (-.f64 t x) z) x)))
(if (<=.f64 x -3486030061785075/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) x (if (<=.f64 x -7624837688512187/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) (+.f64 (.f64 (-.f64 t x) z) x) (if (<=.f64 x -4356494849056005/4538015467766671944574165338592225830478699345884382504442663144885072806275648112625635725391102144133907238129251016389326737199538896813326509341743147661691195191795226666084858428449394948944821764472508048114220424520501343042471615418544488778723282182172070046459244838912) (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (if (<=.f64 x -571356458463325/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 x 8038238047875897/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) x)))))
(if (<=.f64 y -169999999999999990005327100087832318923702113938643505014103844341055252272608187673055592448) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 y 1850) x (+.f64 (*.f64 (-.f64 t x) z) x)))
(if (<=.f64 y -129999999999999994059839682968874647170639631374961325205932126049638781729900143631059124224) (+.f64 (.f64 (-.f64 t x) z) x) (if (<=.f64 y 2050) x (+.f64 (.f64 (-.f64 t x) z) x)))
(if (<=.f64 y -90000000000000002930116902395180556487517073653145396389218580400852173538047342349362573146005257935354712866075666989887564853569192891652528440327212296537408462671078475658610475931857232837030742566371328) (+.f64 (.f64 z t) x) (if (<=.f64 y -480000000000000001869157886699574125255130969100998792713376135520176377709109985157713309208820411432385281637545410560) (-.f64 x (.f64 x z)) (if (<=.f64 y -74999999999999997811069078942577770588935703963063779280693754915102251112219634948682188587008) (+.f64 (.f64 z t) x) (if (<=.f64 y 580000) x (+.f64 (.f64 z t) x)))))
(if (<=.f64 y -145000000000000003394905830386877095037817906900833503878057582812722836882564160888663703552) (+.f64 (.f64 z t) x) (if (<=.f64 y 122000) x (+.f64 (.f64 z t) x)))
(if (<=.f64 y -28000000000000002582639614917329371466281468420378145475891586901154005200923819911033469245663648167771075646583545027659453628997263235872948039674096517120) (.f64 z (-.f64 t x)) (if (<=.f64 y 899999999999999994617363900600174377361439597768785840750890921073241353721424469546386309923659640164400509768660609400832) x (.f64 z (-.f64 t x))))
(if (<=.f64 x -5547788008156039/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) x (if (<=.f64 x 1876879207201175/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (*.f64 t z) x))
x

Outputs
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) -inf.0) (.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (.f64 t z) (*.f64 z x))))
(if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))) -inf.0) (.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))) 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720) (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))) (-.f64 (.f64 z t) (*.f64 z x))))
(if (<=.f64 y -68000000000000004877450124426929369178778086643537754608456044842719673607712764794615254407930847363265408084195065009712945463219814662144) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 y -1650000000000000) (fma.f64 z (.f64 y (tanh.f64 (/.f64 t y))) x) (if (<=.f64 y -7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872) (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z))) (fma.f64 z (.f64 y (tanh.f64 (/.f64 t y))) x))))
(if (<=.f64 y -68000000000000004877450124426929369178778086643537754608456044842719673607712764794615254407930847363265408084195065009712945463219814662144) (+.f64 x (-.f64 (.f64 z t) (.f64 z x))) (if (or (<=.f64 y -1650000000000000) (not (<=.f64 y -7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872))) (fma.f64 z (.f64 y (tanh.f64 (/.f64 t y))) x) (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (*.f64 z y)))))
(if (<=.f64 y -46000000000000000188599936922929401729571961987000058336757051679339923748046657246212478046252769333083256340648262341435406519127012016128) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 y -1650000000000000) (+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))) (if (<=.f64 y -4168515212543383/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 x (.f64 (tanh.f64 (/.f64 x y)) (.f64 y z))) (if (<=.f64 y 175000000000000001303571587863005981002349114252051927662937444729711974181867828046150978365433735221481480455487313099651950920741710307040849617195341796491894307038076862464) (+.f64 x (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y))) (+.f64 (*.f64 (-.f64 t x) z) x)))))
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(if (<=.f64 x -3486030061785075/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) x (if (<=.f64 x -7624837688512187/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 x -4356494849056005/4538015467766671944574165338592225830478699345884382504442663144885072806275648112625635725391102144133907238129251016389326737199538896813326509341743147661691195191795226666084858428449394948944821764472508048114220424520501343042471615418544488778723282182172070046459244838912) (.f64 (tanh.f64 (/.f64 t y)) (.f64 z y)) (if (<=.f64 x -571356458463325/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744) (+.f64 x (-.f64 (.f64 z t) (.f64 z x))) (if (<=.f64 x 8038238047875897/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) x)))))
(if (<=.f64 y -169999999999999990005327100087832318923702113938643505014103844341055252272608187673055592448) (+.f64 (+.f64 (.f64 z t) (.f64 z (neg.f64 x))) x) (if (<=.f64 y 1850) x (+.f64 (*.f64 (-.f64 t x) z) x)))
(if (<=.f64 y -169999999999999990005327100087832318923702113938643505014103844341055252272608187673055592448) (+.f64 x (-.f64 (.f64 z t) (.f64 z x))) (if (<=.f64 y 1850) x (+.f64 x (*.f64 z (-.f64 t x)))))
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(if (or (<=.f64 y -145000000000000003394905830386877095037817906900833503878057582812722836882564160888663703552) (not (<=.f64 y 122000))) (+.f64 x (*.f64 z t)) x)
(if (<=.f64 y -28000000000000002582639614917329371466281468420378145475891586901154005200923819911033469245663648167771075646583545027659453628997263235872948039674096517120) (.f64 z (-.f64 t x)) (if (<=.f64 y 899999999999999994617363900600174377361439597768785840750890921073241353721424469546386309923659640164400509768660609400832) x (.f64 z (-.f64 t x))))
(if (or (<=.f64 y -28000000000000002582639614917329371466281468420378145475891586901154005200923819911033469245663648167771075646583545027659453628997263235872948039674096517120) (not (<=.f64 y 899999999999999994617363900600174377361439597768785840750890921073241353721424469546386309923659640164400509768660609400832))) (*.f64 z (-.f64 t x)) x)
(if (<=.f64 x -5547788008156039/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) x (if (<=.f64 x 1876879207201175/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (*.f64 t z) x))
(if (<=.f64 x -5547788008156039/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) x (if (<=.f64 x 1876879207201175/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (*.f64 z t) x))
x

Compiler

Compiled 439 to 238 computations (45.8% saved)

soundness317.0ms (2.1%)

Algorithm

4×	egg-herbie

Rules

1444×	`associate-*r/`
1444×	`associate-*r/`
1142×	`associate--r-`
1142×	`associate--r-`
1130×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	57	41
2	156	41
3	379	41
4	1400	41
5	6089	41
0	449	26741
1	1484	14981
2	6964	7717
0	15	45
1	57	41
2	156	41
3	379	41
4	1400	41
5	6089	41
0	449	26741
1	1484	14981
2	6964	7717

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 464 to 156 computations (66.4% saved)

end129.0ms (0.9%)

Compiler: Compiled 391 to 124 computations (68.3% saved)