Details

analyze327.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
10.9%	88.9%	0.2%	10
13.3%	85.8%	1%	11
17.9%	79.3%	2.7%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.5s (12%)

Results

1.1s	8256×	body	256	valid
329.0ms	2507×	body	256	invalid

preprocess87.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

615×	`unsub-neg_binary64`
537×	`associate-/l*_binary64`
462×	`div-sub_binary64`
427×	`fma-def_binary64`
406×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	77
1	76	77
2	205	77
3	504	77
4	1048	77
5	2233	77
6	4033	77
7	7830	77
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 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(+.f64 (*.f64 (/.f64 y x) (-.f64 z t)) t)
(+.f64 (*.f64 (/.f64 z y) (-.f64 x t)) t)
(+.f64 (*.f64 (/.f64 t y) (-.f64 z x)) x)
(+.f64 (*.f64 (/.f64 x z) (-.f64 y t)) t)
(+.f64 (*.f64 (/.f64 x t) (-.f64 z y)) y)
(+.f64 (*.f64 (/.f64 x y) (-.f64 t z)) z)

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-def_binary64`
721×	`fma-neg_binary64`
220×	`cancel-sign-sub-inv_binary64`
144×	`distribute-rgt-in_binary64`
107×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	38	11
3	84	11
4	178	11
5	318	11
6	546	11
7	1031	11
8	2007	11
9	3005	11
10	3656	11
11	3694	11
12	3724	11
13	3729	11
14	3729	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 10 computations (52.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶	5.9b	(fma.f64 x (/.f64 (-.f64 z t) y) t)

Compiler

Compiled 25 to 15 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓	6.8b	(*.f64 (/.f64 x y) (-.f64 z t))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series14.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
441×	`pow-prod-down_binary64`
360×	`fma-def_binary64`
296×	`pow2_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	206	21
2	3146	21

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

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

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y) (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) 2) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) 2) (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t) (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 z t) 2)) (*.f64 (cbrt.f64 (-.f64 z t)) (/.f64 x y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 (cbrt.f64 (/.f64 x y)) (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 z t)) (*.f64 (sqrt.f64 (-.f64 z t)) (/.f64 x y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 z t)) (/.f64 1 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 z t) (sqrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 (-.f64 z t) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 z t) (cbrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (-.f64 z t) 2))) (cbrt.f64 (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z t) (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z t) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) t)))))

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-neg_binary64`
750×	`fma-def_binary64`
222×	`cancel-sign-sub-inv_binary64`
154×	`distribute-rgt-in_binary64`
114×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	1062
1	81	1056
2	193	948
3	407	948
4	744	948
5	1553	948
6	2960	948
7	3667	948
8	3765	948
9	3791	948
10	3799	948
11	3799	948

Stop Event

1×

saturated

Counts

207 → 130

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z t) y)
✓	5.6b	(fma.f64 x (/.f64 (-.f64 z t) y) t)

Compiler

Compiled 24 to 7 computations (70.8% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

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

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
481×	`log-prod_binary64`
308×	`pow-prod-down_binary64`
258×	`pow2_binary64`
211×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	178	18
2	2627	18

Stop Event

1×	node limit

Counts

2 → 214

Calls

Call 1

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

Outputs
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Outputs

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simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-neg_binary64`
290×	`fma-def_binary64`
185×	`cancel-sign-sub-inv_binary64`
159×	`distribute-rgt-in_binary64`
117×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	813
1	87	807
2	202	636
3	417	636
4	758	636
5	1582	636
6	2431	636
7	3207	636
8	3309	636
9	3335	636
10	3343	636
11	3343	636

Stop Event

1×

saturated

Counts

286 → 235

Calls

Call 1

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

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

eval106.0ms (0.9%)

Compiler: Compiled 8950 to 3047 computations (66% saved)

prune67.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	355	10	365
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	357	10	367

Error

Counts

367 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	45.6b	(/.f64 (*.f64 z x) y)
	34.2b	(+.f64 (/.f64 (/.f64 (*.f64 x (-.f64 z t)) (sqrt.f64 y)) (sqrt.f64 y)) t)
	20.0b	(-.f64 t (*.f64 t (/.f64 x y)))
▶	2.0b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
▶	5.0b	(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
▶	36.7b	(/.f64 (*.f64 (-.f64 z t) x) y)
▶	15.1b	(+.f64 (/.f64 (*.f64 z x) y) t)
	31.2b	t
	23.6b	(+.f64 (*.f64 (/.f64 t y) (neg.f64 x)) t)
▶	44.3b	(*.f64 z (/.f64 x y))

Compiler

Compiled 217 to 138 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
✓	7.0b	(/.f64 (-.f64 z t) (/.f64 y x))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series7.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log-prod_binary64`
400×	`fma-def_binary64`
314×	`pow2_binary64`
297×	`fma-neg_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	214	21
2	3543	21

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 x y)) (neg.f64 (*.f64 t (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 z t) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 z t) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 z t) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 z t) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 z t) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (/.f64 x y)) (*.f64 t (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 z t) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z t) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 z t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 z t) (/.f64 x y)) 1)))) 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y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z t) y) (sqrt.f64 x)) (sqrt.f64 x) t)))))

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-neg_binary64`
725×	`fma-def_binary64`
222×	`cancel-sign-sub-inv_binary64`
154×	`distribute-rgt-in_binary64`
114×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	1674
1	81	1020
2	193	948
3	407	948
4	740	948
5	1553	948
6	2926	948
7	3630	948
8	3728	948
9	3754	948
10	3762	948
11	3762	948

Stop Event

1×

saturated

Counts

253 → 175

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(*.f64 z (/.f64 x y))

Compiler

Compiled 15 to 6 computations (60% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 z (/.f64 x y))

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)

Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 z x) y) t)
✓	5.7b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

21 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`prod-diff_binary64`
493×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
277×	`fma-def_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	17
2	2592	15

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 z x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))))))

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	12	408
2	16	336
3	20	336
4	23	336
5	24	336

Stop Event

1×

saturated

Counts

165 → 122

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 z t) x)
✓	6.5b	(/.f64 (*.f64 (-.f64 z t) x) y)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

21 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
386×	`prod-diff_binary64`
379×	`exp-prod_binary64`
327×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2598	17

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def_binary64`
669×	`fma-neg_binary64`
192×	`cancel-sign-sub-inv_binary64`
109×	`div-sub_binary64`
105×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	582
1	30	528
2	69	438
3	131	384
4	230	384
5	399	384
6	694	384
7	1227	384
8	2038	384
9	3314	384
10	3454	384
11	3484	384
12	3489	384
13	3489	384

Stop Event

1×

saturated

Counts

138 → 103

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓	0.0b	(/.f64 y (-.f64 z t))
✓	5.7b	(/.f64 x (/.f64 y (-.f64 z t)))

Compiler

Compiled 32 to 8 computations (75% saved)

series18.0ms (0.1%)

Counts

3 → 120

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/.f64 y (-.f64 z t))
1.0ms	z	@	0	(/.f64 y (-.f64 z t))
1.0ms	y	@	inf	(/.f64 y (-.f64 z t))
1.0ms	z	@	inf	(/.f64 y (-.f64 z t))
1.0ms	z	@	-inf	(/.f64 y (-.f64 z t))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
359×	`fma-def_binary64`
306×	`pow2_binary64`
217×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	211	28
2	3381	28

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

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(cbrt.f64 (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 z t)) t)))))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-/r/_binary64`
473×	`unswap-sqr_binary64`
388×	`sub-neg_binary64`
335×	`div-sub_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1686
1	209	1662
2	633	1446
3	2839	1407
4	6097	1407

Stop Event

1×	node limit

Counts

282 → 194

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 y t))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (*.f64 -1 (/.f64 y t)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 2)) (pow.f64 t 3))) (*.f64 -1 (/.f64 y t))))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 2)) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 3)) (pow.f64 t 4))) (*.f64 -1 (/.f64 y t)))))
(/.f64 y z)
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (/.f64 y z))
(+.f64 (/.f64 (.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z)))
(+.f64 (/.f64 (.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 3)) (pow.f64 z 4)) (+.f64 (/.f64 (*.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z))))
(/.f64 y z)
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (/.f64 y z))
(+.f64 (/.f64 (.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z)))
(+.f64 (/.f64 (.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 3)) (pow.f64 z 4)) (+.f64 (/.f64 (*.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z))))
(/.f64 y z)
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (/.f64 y z))
(+.f64 (/.f64 (.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z)))
(+.f64 (/.f64 (.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 3)) (pow.f64 z 4)) (+.f64 (/.f64 (*.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z))))
(*.f64 -1 (/.f64 y t))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (*.f64 -1 (/.f64 y t)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 2)) (pow.f64 t 3))) (*.f64 -1 (/.f64 y t))))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 2)) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 3)) (pow.f64 t 4))) (*.f64 -1 (/.f64 y t)))))
(*.f64 -1 (/.f64 y t))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (*.f64 -1 (/.f64 y t)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 2)) (pow.f64 t 3))) (*.f64 -1 (/.f64 y t))))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 2)) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 z 3)) (pow.f64 t 4))) (*.f64 -1 (/.f64 y t)))))
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (.f64 z x) y) (.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (.f64 z x) y) (.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (.f64 z x) y) (.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (.f64 z x) y) (.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
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(.f64 -1 (.f64 t (-.f64 (/.f64 x y) 1)))
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(+.f64 (.f64 -1 (.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))

Outputs
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eval166.0ms (1.4%)

Compiler: Compiled 8690 to 2527 computations (70.9% saved)

prune211.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	608	9	617
Fresh	4	1	5
Picked	1	0	1
Done	0	4	4
Total	613	14	627

Error

Counts

627 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.6b	(/.f64 (*.f64 z x) y)
✓	2.0b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
✓	15.1b	(+.f64 (/.f64 (*.f64 z x) y) t)
▶	13.7b	(+.f64 (/.f64 x (/.f64 y z)) t)
	54.0b	(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
	31.2b	t
▶	44.5b	(*.f64 x (/.f64 z y))
	44.3b	(/.f64 z (/.f64 y x))
✓	44.3b	(*.f64 z (/.f64 x y))
▶	23.3b	(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
▶	35.6b	(*.f64 (/.f64 (-.f64 z t) y) x)
✓	36.7b	(/.f64 (*.f64 (-.f64 z t) x) y)
	53.4b	(/.f64 (*.f64 x (neg.f64 t)) y)
	20.0b	(-.f64 t (*.f64 t (/.f64 x y)))

Compiler

Compiled 239 to 156 computations (34.7% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (/.f64 y z)) t)
✓	5.1b	(/.f64 x (/.f64 y z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series11.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`prod-diff_binary64`
522×	`log-prod_binary64`
289×	`fma-def_binary64`
257×	`pow2_binary64`
178×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	181	15
2	2787	15

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1))))))

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	660
1	12	660
2	16	588
3	20	588
4	23	588
5	24	588

Stop Event

1×

saturated

Counts

201 → 120

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(*.f64 x (/.f64 z y))

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 x (/.f64 z y))

Outputs

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)

Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.7b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 15 to 6 computations (60% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 z t) y)
✓	6.4b	(*.f64 (/.f64 (-.f64 z t) y) x)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
507×	`log-prod_binary64`
330×	`pow-prod-down_binary64`
258×	`pow2_binary64`
196×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2682	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify185.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
475×	`fma-neg_binary64`
151×	`cancel-sign-sub-inv_binary64`
102×	`distribute-rgt-in_binary64`
101×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	804
1	29	468
2	64	468
3	122	468
4	239	468
5	423	468
6	743	468
7	1159	468
8	1964	468
9	2794	468
10	2873	468
11	2903	468
12	2908	468
13	2908	468

Stop Event

1×

saturated

Counts

79 → 37

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
✓	7.8b	(/.f64 x (/.f64 (neg.f64 y) t))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series17.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/.f64 x (/.f64 (neg.f64 y) t))
2.0ms	x	@	0	(/.f64 x (/.f64 (neg.f64 y) t))
2.0ms	y	@	0	(/.f64 x (/.f64 (neg.f64 y) t))
1.0ms	t	@	inf	(/.f64 x (/.f64 (neg.f64 y) t))
1.0ms	t	@	0	(/.f64 x (/.f64 (neg.f64 y) t))

rewrite175.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`prod-diff_binary64`
492×	`log-prod_binary64`
228×	`pow2_binary64`
209×	`fma-def_binary64`
184×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	187	15
2	3087	15

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs
(/.f64 x (/.f64 (neg.f64 y) t))
(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)

Outputs

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simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

343×	`fma-def_binary64`
151×	`fma-neg_binary64`
78×	`associate-r_binary64`
68×	`distribute-rgt-in_binary64`
65×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	714
1	46	654
2	112	654
3	245	654
4	414	654
5	875	654
6	1452	654
7	1468	654
8	1482	654
9	1508	654

Stop Event

1×

saturated

Counts

199 → 133

Calls

Call 1

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

Outputs
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(*.f64 t (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 t y) (neg.f64 x))
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t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
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(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
(fma.f64 x (/.f64 (neg.f64 t) y) t)
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
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(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
(fma.f64 x (/.f64 (neg.f64 t) y) t)
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(fma.f64 x (/.f64 (neg.f64 t) y) t)
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(-.f64 t (*.f64 (/.f64 t y) x))
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(-.f64 t (*.f64 x (/.f64 t y)))
(fma.f64 x (/.f64 (neg.f64 t) y) t)
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(-.f64 t (*.f64 x (/.f64 t y)))
(fma.f64 x (/.f64 (neg.f64 t) y) t)
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(-.f64 t (*.f64 x (/.f64 t y)))
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t
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(fma.f64 x (/.f64 (neg.f64 t) y) t)
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(fma.f64 x (/.f64 (neg.f64 t) y) t)

eval217.0ms (1.8%)

Compiler: Compiled 10380 to 3693 computations (64.4% saved)

prune94.0ms (0.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	541	5	546
Fresh	2	3	5
Picked	1	0	1
Done	3	5	8
Total	547	13	560

Error

Counts

560 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.6b	(/.f64 (*.f64 z x) y)
✓	2.0b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
	34.1b	(/.f64 (-.f64 z t) (/.f64 y x))
▶	20.0b	(-.f64 t (*.f64 t (/.f64 x y)))
▶	44.3b	(/.f64 z (/.f64 y x))
✓	44.3b	(*.f64 z (/.f64 x y))
	31.2b	t
▶	53.4b	(*.f64 (/.f64 (neg.f64 t) y) x)
✓	36.7b	(/.f64 (*.f64 (-.f64 z t) x) y)
▶	53.4b	(/.f64 (*.f64 x (neg.f64 t)) y)
✓	15.1b	(+.f64 (/.f64 (*.f64 z x) y) t)
	54.0b	(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
▶	44.2b	(/.f64 x (/.f64 y z))

Compiler

Compiled 204 to 134 computations (34.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 t (*.f64 t (/.f64 x y)))
✓	4.4b	(*.f64 t (/.f64 x y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2410	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
153×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
51×	`associate-r_binary64`
51×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	582
1	40	582
2	86	582
3	180	582
4	286	582
5	497	582
6	876	582
7	1037	582
8	1225	582
9	1348	582
10	1353	582

Stop Event

1×

saturated

Counts

132 → 67

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.1b	(/.f64 x (/.f64 y z))

Compiler

Compiled 15 to 6 computations (60% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 z (/.f64 y x))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)

Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.8b	(*.f64 (/.f64 (neg.f64 t) y) x)

Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2153	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (/.f64 (neg.f64 t) y) x)

Outputs

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

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 (*.f64 x (neg.f64 t)) y)

Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2171	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 x (neg.f64 t)) y)

Outputs

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))

eval39.0ms (0.3%)

Compiler: Compiled 2352 to 737 computations (68.7% saved)

prune42.0ms (0.3%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	1	2	3
Picked	0	1	1
Done	2	7	9
Total	225	12	237

Error

Counts

237 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.4b	(/.f64 (*.f64 x (neg.f64 t)) y)
	20.0b	(-.f64 t (/.f64 t (/.f64 y x)))
✓	44.2b	(/.f64 x (/.f64 y z))
	51.9b	(*.f64 t (neg.f64 (/.f64 x y)))
✓	44.3b	(/.f64 z (/.f64 y x))
✓	44.3b	(*.f64 z (/.f64 x y))
	31.2b	t
✓	45.6b	(/.f64 (*.f64 z x) y)
✓	53.4b	(*.f64 (/.f64 (neg.f64 t) y) x)
✓	36.7b	(/.f64 (*.f64 (-.f64 z t) x) y)
✓	15.1b	(+.f64 (/.f64 (*.f64 z x) y) t)
	54.0b	(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 117 to 78 computations (33.3% saved)

regimes156.0ms (1.3%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

6 calls:

43.0ms	t
39.0ms	y
19.0ms	z
18.0ms	x
15.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Results

Error	Segments	Branch
2.0b	1	`x`
0.8b	3	`y`
2.0b	1	`z`
0.8b	3	`t`
2.0b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
2.0b	1	`(/.f64 x y)`

Compiler

Compiled 229 to 84 computations (63.3% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	4.374494269814032e+67	1.6461669942717555e+72
4.0ms	2.7184513865373105e-293	3.1759408108393624e-277

Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes117.0ms (1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

6 calls:

38.0ms	t
17.0ms	y
14.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
14.0ms	x
13.0ms	z

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
2.0b	1	`z`
0.8b	3	`t`
2.0b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
2.0b	1	`(/.f64 x y)`

Compiler

Compiled 216 to 80 computations (63% saved)

bsearch50.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.380798698040074e-152	1.4238835560111182e-149
26.0ms	4.605592088679634e-232	2.0386345641258285e-226

Compiler

Compiled 20 to 14 computations (30% saved)

regimes179.0ms (1.5%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

6 calls:

77.0ms	t
41.0ms	y
15.0ms	x
14.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
14.0ms	z

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
2.0b	1	`z`
0.9b	3	`t`
2.0b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
2.0b	1	`(/.f64 x y)`

Compiler

Compiled 199 to 76 computations (61.8% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.952679118870386e-77	1.0350875843379646e-72
23.0ms	7.736705357099387e-250	1.7705231938640757e-248

Compiler

Compiled 20 to 14 computations (30% saved)

regimes110.0ms (0.9%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

6 calls:

36.0ms	t
16.0ms	z
14.0ms	(/.f64 x y)
14.0ms	y
13.0ms	x

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
2.0b	1	`z`
0.9b	3	`t`
2.0b	1	`(/.f64 x y)`
2.0b	1	`(/.f64 x y)`

Compiler

Compiled 184 to 71 computations (61.4% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.4662266463294765e-46	2.2635160684871936e-41
22.0ms	7.736705357099387e-250	1.7705231938640757e-248

Compiler

Compiled 20 to 14 computations (30% saved)

regimes82.0ms (0.7%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	z
14.0ms	(/.f64 x y)
13.0ms	t
13.0ms	y
12.0ms	x

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
2.0b	1	`z`
2.0b	1	`t`
2.0b	1	`(/.f64 x y)`
2.0b	1	`(/.f64 x y)`

Compiler

Compiled 175 to 68 computations (61.1% saved)

regimes415.0ms (3.4%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

6 calls:

146.0ms	z
94.0ms	t
74.0ms	y
33.0ms	x
31.0ms	(/.f64 x y)

Results

Error	Segments	Branch
9.4b	3	`x`
8.5b	3	`y`
8.6b	3	`z`
8.2b	3	`t`
3.6b	3	`(/.f64 x y)`
3.6b	3	`(/.f64 x y)`

Compiler

Compiled 166 to 67 computations (59.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.003122389346142072	0.05831962473372779
0.0ms	-134581720.20871142	-46.117536145163434

Compiler

Compiled 20 to 14 computations (30% saved)

regimes239.0ms (2%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

6 calls:

60.0ms	x
44.0ms	z
35.0ms	(/.f64 x y)
33.0ms	(/.f64 x y)
32.0ms	t

Results

Error	Segments	Branch
11.7b	7	`x`
17.1b	3	`y`
15.7b	5	`z`
13.9b	3	`t`
7.9b	5	`(/.f64 x y)`
7.9b	5	`(/.f64 x y)`

Compiler

Compiled 108 to 51 computations (52.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.003122389346142072	0.05831962473372779
0.0ms	9.068241794662171e-74	8.2035223575297e-69
0.0ms	3.298331102646333e-84	5.795887290477121e-84
0.0ms	-6.771663255722218e-45	-7.51572755754089e-46

Compiler

Compiled 20 to 14 computations (30% saved)

regimes273.0ms (2.2%)

Counts

13 → 8

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	(/.f64 x y)
52.0ms	(/.f64 x y)
48.0ms	t
38.0ms	z
37.0ms	x

Results

Error	Segments	Branch
16.7b	4	`x`
18.8b	3	`y`
17.6b	4	`z`
13.7b	5	`t`
13.3b	8	`(/.f64 x y)`
13.3b	8	`(/.f64 x y)`

Compiler

Compiled 101 to 49 computations (51.5% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	7.888186568325301e+119	1.527707689422031e+128
0.0ms	6.815996820752702e+91	7.028805490301596e+94
0.0ms	9.068241794662171e-74	8.2035223575297e-69
0.0ms	3.298331102646333e-84	5.795887290477121e-84
0.0ms	-6.771663255722218e-45	-7.51572755754089e-46
0.0ms	-2.441416062057657e+43	-2.0982423291745066e+42
0.0ms	-6.479000373793073e+169	-1.9259106909554247e+166

Compiler

Compiled 20 to 14 computations (30% saved)

regimes282.0ms (2.3%)

Counts

12 → 8

Calls

Call 1

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

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

Calls

6 calls:

54.0ms	(/.f64 x y)
52.0ms	y
51.0ms	(/.f64 x y)
45.0ms	x
40.0ms	z

Results

Error	Segments	Branch
22.2b	7	`x`
24.8b	7	`y`
26.8b	5	`z`
23.3b	5	`t`
13.9b	8	`(/.f64 x y)`
13.9b	8	`(/.f64 x y)`

Compiler

Compiled 94 to 47 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	7.888186568325301e+119	1.527707689422031e+128
0.0ms	0.003122389346142072	0.05831962473372779
0.0ms	9.068241794662171e-74	8.2035223575297e-69
0.0ms	3.298331102646333e-84	5.795887290477121e-84
0.0ms	-6.771663255722218e-45	-7.51572755754089e-46
0.0ms	-2.441416062057657e+43	-2.0982423291745066e+42
0.0ms	-6.479000373793073e+169	-1.9259106909554247e+166

Compiler

Compiled 20 to 14 computations (30% saved)

regimes517.0ms (4.2%)

Counts

8 → 5

Calls

Call 1

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

Outputs
(*.f64 z (/.f64 x y))
t
(/.f64 (*.f64 z x) y)
t
(/.f64 x (/.f64 y z))

Calls

6 calls:

214.0ms	x
178.0ms	z
47.0ms	t
29.0ms	(/.f64 x y)
24.0ms	y

Results

Error	Segments	Branch
22.2b	7	`x`
27.3b	3	`y`
26.8b	5	`z`
24.4b	3	`t`
18.4b	5	`(/.f64 x y)`
18.4b	5	`(/.f64 x y)`

Compiler

Compiled 70 to 40 computations (42.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.003122389346142072	0.05831962473372779
0.0ms	9.068241794662171e-74	8.2035223575297e-69
0.0ms	3.298331102646333e-84	5.795887290477121e-84
0.0ms	-6.771663255722218e-45	-7.51572755754089e-46

Compiler

Compiled 20 to 14 computations (30% saved)

regimes562.0ms (4.6%)

Counts

7 → 7

Calls

Call 1

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

Outputs
(/.f64 z (/.f64 y x))
t
(*.f64 x (/.f64 z y))
t
(/.f64 (*.f64 z x) y)
t
(/.f64 x (/.f64 y z))

Calls

4 calls:

232.0ms	z
230.0ms	x
48.0ms	y
47.0ms	t

Results

Error	Segments	Branch
22.2b	7	`x`
27.3b	3	`y`
26.8b	5	`z`
24.4b	3	`t`

Compiler

Compiled 51 to 28 computations (45.1% saved)

bsearch754.0ms (6.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
39.0ms	1.0830201618769708e+36	1.8683210621642488e+36
264.0ms	1.0717033039715094e-7	3.710555873415608e-5
159.0ms	1.0045115587828868e-56	7.323745608695293e-56
20.0ms	-6.159901173418997e-53	-3.3572196332937995e-53
24.0ms	-1.1034114334988113e-24	-3.199811501046335e-25
249.0ms	-8.103380892988118e+68	-1.3916357966516e+62

Compiler

Compiled 356 to 266 computations (25.3% saved)

regimes87.0ms (0.7%)

Counts

5 → 7

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 y z))
t
(*.f64 x (/.f64 z y))
t
(/.f64 (*.f64 z x) y)
t
(/.f64 x (/.f64 y z))

Calls

4 calls:

32.0ms	x
20.0ms	z
17.0ms	y
16.0ms	t

Results

Error	Segments	Branch
22.4b	7	`x`
27.3b	3	`y`
28.1b	4	`z`
24.4b	3	`t`

Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch447.0ms (3.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
74.0ms	1.0830201618769708e+36	1.8683210621642488e+36
239.0ms	1.0717033039715094e-7	3.710555873415608e-5
21.0ms	1.0045115587828868e-56	7.323745608695293e-56
23.0ms	-6.159901173418997e-53	-3.3572196332937995e-53
21.0ms	-1.1034114334988113e-24	-3.199811501046335e-25
69.0ms	-8.103380892988118e+68	-1.3916357966516e+62

Compiler

Compiled 356 to 266 computations (25.3% saved)

regimes269.0ms (2.2%)

Counts

4 → 7

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 y z))
t
(/.f64 (*.f64 z x) y)
t
(/.f64 (*.f64 z x) y)
t
(/.f64 x (/.f64 y z))

Calls

4 calls:

174.0ms	x
38.0ms	z
31.0ms	t
24.0ms	y

Results

Error	Segments	Branch
22.4b	7	`x`
27.3b	3	`y`
28.1b	4	`z`
24.4b	3	`t`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch870.0ms (7.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
46.0ms	1.0830201618769708e+36	1.8683210621642488e+36
171.0ms	1.0717033039715094e-7	3.710555873415608e-5
21.0ms	1.0045115587828868e-56	7.323745608695293e-56
251.0ms	-6.159901173418997e-53	-3.3572196332937995e-53
174.0ms	-1.1034114334988113e-24	-3.199811501046335e-25
205.0ms	-8.103380892988118e+68	-1.3916357966516e+62

Compiler

Compiled 356 to 266 computations (25.3% saved)

regimes72.0ms (0.6%)

Counts

3 → 7

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 y z))
t
(/.f64 x (/.f64 y z))
t
(/.f64 x (/.f64 y z))
t
(/.f64 x (/.f64 y z))

Calls

4 calls:

22.0ms	x
18.0ms	t
16.0ms	z
14.0ms	y

Results

Error	Segments	Branch
22.4b	7	`x`
27.9b	3	`y`
28.1b	4	`z`
24.6b	3	`t`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch324.0ms (2.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
38.0ms	1.0830201618769708e+36	1.8683210621642488e+36
155.0ms	1.0717033039715094e-7	3.710555873415608e-5
20.0ms	1.0045115587828868e-56	7.323745608695293e-56
23.0ms	-6.159901173418997e-53	-3.3572196332937995e-53
20.0ms	-1.1034114334988113e-24	-3.199811501046335e-25
69.0ms	-8.103380892988118e+68	-1.3916357966516e+62

Compiler

Compiled 356 to 266 computations (25.3% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
t
t

Outputs
t

Calls

4 calls:

4.0ms	y
3.0ms	x
3.0ms	t
3.0ms	z

Results

Error	Segments	Branch
31.2b	1	`x`
31.2b	1	`y`
31.2b	1	`z`
31.2b	1	`t`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
12×	`*-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	902
1	150	902
2	166	902
3	176	902
4	180	902

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y 4185580496821356544/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 43744942698140318809643446170073952176039262074890403442648751800320) (+.f64 (/.f64 (/.f64 (.f64 x (-.f64 z t)) (sqrt.f64 y)) (sqrt.f64 y)) t) (fma.f64 x (/.f64 (-.f64 z t) y) t)))
(if (<=.f64 t 13189910931538444288/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 t 2807826508583527/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (fma.f64 x (/.f64 (-.f64 z t) y) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 t 6236662489568497/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 t 3228411374201459/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 t 6236662489568497/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (if (<=.f64 t 1585229369500839/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)))
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
(if (<=.f64 (/.f64 x y) -100000000) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 92233720368547760/18446744073709551616) (+.f64 (/.f64 x (/.f64 y z)) t) (/.f64 (-.f64 z t) (/.f64 y x))))
(if (<=.f64 (/.f64 x y) -8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) t (if (<=.f64 (/.f64 x y) 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (*.f64 z x) y) (if (<=.f64 (/.f64 x y) 92233720368547760/18446744073709551616) (-.f64 t (/.f64 t (/.f64 y x))) (/.f64 (-.f64 z t) (/.f64 y x))))))
(if (<=.f64 (/.f64 x y) -50000000000000001720952715465622640458856885148708873735346823837532548981315723776946132907372413659248589542573711457538915860604509709821678979750150160787337627303936) (/.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 x y) -20000000000000000278744233918828198261424128) (-.f64 t (/.f64 t (/.f64 y x))) (if (<=.f64 (/.f64 x y) -8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 z (/.f64 x y)) (if (<=.f64 (/.f64 x y) 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) t (if (<=.f64 (/.f64 x y) 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (.f64 z x) y) (if (<=.f64 (/.f64 x y) 100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552) (-.f64 t (/.f64 t (/.f64 y x))) (if (<=.f64 (/.f64 x y) 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 x (/.f64 y z)) (*.f64 t (neg.f64 (/.f64 x y))))))))))
(if (<=.f64 (/.f64 x y) -50000000000000001720952715465622640458856885148708873735346823837532548981315723776946132907372413659248589542573711457538915860604509709821678979750150160787337627303936) (/.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 x y) -20000000000000000278744233918828198261424128) (.f64 t (neg.f64 (/.f64 x y))) (if (<=.f64 (/.f64 x y) -8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 z (/.f64 x y)) (if (<=.f64 (/.f64 x y) 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) t (if (<=.f64 (/.f64 x y) 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (.f64 z x) y) (if (<=.f64 (/.f64 x y) 92233720368547760/18446744073709551616) t (if (<=.f64 (/.f64 x y) 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 z (/.f64 y x)) (.f64 t (neg.f64 (/.f64 x y))))))))))
(if (<=.f64 (/.f64 x y) -8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 z (/.f64 x y)) (if (<=.f64 (/.f64 x y) 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) t (if (<=.f64 (/.f64 x y) 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (.f64 z x) y) (if (<=.f64 (/.f64 x y) 92233720368547760/18446744073709551616) t (/.f64 x (/.f64 y z))))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (/.f64 z (/.f64 y x)) (if (<=.f64 x -6007543268457619/5444517870735015415413993718908291383296) t (if (<=.f64 x -1660706071102948/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 x (/.f64 z y)) (if (<=.f64 x 8874091495857515/883423532389192164791648750371459257913741948437809479060803100646309888) t (if (<=.f64 x 8160249282398747/75557863725914323419136) (/.f64 (.f64 z x) y) (if (<=.f64 x 1850000000000000144886457807287615488) t (/.f64 x (/.f64 y z))))))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (/.f64 x (/.f64 y z)) (if (<=.f64 x -6007543268457619/5444517870735015415413993718908291383296) t (if (<=.f64 x -1660706071102948/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 x (/.f64 z y)) (if (<=.f64 x 8874091495857515/883423532389192164791648750371459257913741948437809479060803100646309888) t (if (<=.f64 x 8160249282398747/75557863725914323419136) (/.f64 (.f64 z x) y) (if (<=.f64 x 1850000000000000144886457807287615488) t (/.f64 x (/.f64 y z))))))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (/.f64 x (/.f64 y z)) (if (<=.f64 x -6007543268457619/5444517870735015415413993718908291383296) t (if (<=.f64 x -1660706071102948/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (.f64 z x) y) (if (<=.f64 x 8874091495857515/883423532389192164791648750371459257913741948437809479060803100646309888) t (if (<=.f64 x 8160249282398747/75557863725914323419136) (/.f64 (.f64 z x) y) (if (<=.f64 x 1850000000000000144886457807287615488) t (/.f64 x (/.f64 y z))))))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (/.f64 x (/.f64 y z)) (if (<=.f64 x -6007543268457619/5444517870735015415413993718908291383296) t (if (<=.f64 x -1660706071102948/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 x (/.f64 y z)) (if (<=.f64 x 8874091495857515/883423532389192164791648750371459257913741948437809479060803100646309888) t (if (<=.f64 x 8160249282398747/75557863725914323419136) (/.f64 x (/.f64 y z)) (if (<=.f64 x 1850000000000000144886457807287615488) t (/.f64 x (/.f64 y z))))))))
t

Outputs
(if (<=.f64 y 4185580496821356544/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 43744942698140318809643446170073952176039262074890403442648751800320) (+.f64 (/.f64 (/.f64 (.f64 x (-.f64 z t)) (sqrt.f64 y)) (sqrt.f64 y)) t) (fma.f64 x (/.f64 (-.f64 z t) y) t)))
(if (<=.f64 y 2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (+.f64 t (.f64 (/.f64 x y) (-.f64 z t))) (if (<=.f64 y 43744942698140318809643446170073952176039262074890403442648751800320) (+.f64 t (/.f64 (/.f64 (.f64 x (-.f64 z t)) (sqrt.f64 y)) (sqrt.f64 y))) (fma.f64 x (/.f64 (-.f64 z t) y) t)))
(if (<=.f64 t 13189910931538444288/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 t 2807826508583527/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (fma.f64 x (/.f64 (-.f64 z t) y) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 t 50315517164377/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (+.f64 t (.f64 (/.f64 x y) (-.f64 z t))) (if (<=.f64 t 2807826508583527/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (fma.f64 x (/.f64 (-.f64 z t) y) t) (+.f64 t (.f64 (/.f64 x y) (-.f64 z t)))))
(if (<=.f64 t 6236662489568497/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 t 3228411374201459/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 t 6236662489568497/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (+.f64 t (.f64 (/.f64 x y) (-.f64 z t))) (if (<=.f64 t 3228411374201459/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (+.f64 t (/.f64 x (/.f64 y (-.f64 z t)))) (+.f64 t (.f64 (/.f64 x y) (-.f64 z t)))))
(if (<=.f64 t 6236662489568497/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (if (<=.f64 t 1585229369500839/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)))
(if (<=.f64 t 6236662489568497/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (+.f64 t (/.f64 (-.f64 z t) (/.f64 y x))) (if (<=.f64 t 1585229369500839/6427752177035961102167848369364650410088811975131171341205504) (+.f64 t (/.f64 x (/.f64 y (-.f64 z t)))) (+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))))
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(if (<=.f64 (/.f64 x y) -100000000) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 92233720368547760/18446744073709551616) (+.f64 (/.f64 x (/.f64 y z)) t) (/.f64 (-.f64 z t) (/.f64 y x))))
(if (<=.f64 (/.f64 x y) -100000000) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 5764607523034235/1152921504606846976) (+.f64 t (/.f64 x (/.f64 y z))) (/.f64 (-.f64 z t) (/.f64 y x))))
(if (<=.f64 (/.f64 x y) -8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) t (if (<=.f64 (/.f64 x y) 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (*.f64 z x) y) (if (<=.f64 (/.f64 x y) 92233720368547760/18446744073709551616) (-.f64 t (/.f64 t (/.f64 y x))) (/.f64 (-.f64 z t) (/.f64 y x))))))
(if (<=.f64 (/.f64 x y) -8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) t (if (<=.f64 (/.f64 x y) 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (*.f64 x z) y) (if (<=.f64 (/.f64 x y) 5764607523034235/1152921504606846976) (-.f64 t (/.f64 t (/.f64 y x))) (/.f64 (-.f64 z t) (/.f64 y x))))))
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(if (<=.f64 (/.f64 x y) -8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 x y) z) (if (<=.f64 (/.f64 x y) 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) t (if (<=.f64 (/.f64 x y) 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (.f64 x z) y) (if (<=.f64 (/.f64 x y) 5764607523034235/1152921504606846976) t (/.f64 x (/.f64 y z))))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (/.f64 z (/.f64 y x)) (if (<=.f64 x -6007543268457619/5444517870735015415413993718908291383296) t (if (<=.f64 x -1660706071102948/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 x (/.f64 z y)) (if (<=.f64 x 8874091495857515/883423532389192164791648750371459257913741948437809479060803100646309888) t (if (<=.f64 x 8160249282398747/75557863725914323419136) (/.f64 (.f64 z x) y) (if (<=.f64 x 1850000000000000144886457807287615488) t (/.f64 x (/.f64 y z))))))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (/.f64 z (/.f64 y x)) (if (<=.f64 x -6007543268457619/5444517870735015415413993718908291383296) t (if (<=.f64 x -415176517775737/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 x (/.f64 z y)) (if (<=.f64 x 8874091495857515/883423532389192164791648750371459257913741948437809479060803100646309888) t (if (<=.f64 x 8160249282398747/75557863725914323419136) (/.f64 (.f64 x z) y) (if (<=.f64 x 1850000000000000144886457807287615488) t (/.f64 x (/.f64 y z))))))))
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t

Compiler

Compiled 684 to 325 computations (52.5% saved)

soundness194.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-def_binary64`
721×	`fma-neg_binary64`
220×	`cancel-sign-sub-inv_binary64`
144×	`distribute-rgt-in_binary64`
107×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	38	11
3	84	11
4	178	11
5	318	11
6	546	11
7	1031	11
8	2007	11
9	3005	11
10	3656	11
11	3694	11
12	3724	11
13	3729	11
14	3729	11

Stop Event

1×

saturated

Compiler

Compiled 77 to 47 computations (39% saved)

end480.0ms (3.9%)

Compiler: Compiled 628 to 202 computations (67.8% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324