Details

analyze494.0ms (4.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
10.9%	10.9%	88.9%	0.2%	0%	0%	0%	10
13.4%	13.3%	85.8%	0.2%	0.8%	0%	0%	11
18.4%	17.9%	79.3%	0.2%	2.5%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.5s (23.6%)

Results

1.8s	8256×	body	256	valid
653.0ms	2519×	body	256	infinite

Bogosity

preprocess111.0ms (1%)

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)

simplify95.0ms (0.9%)

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)

prune3.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.5b	(fma.f64 x (/.f64 (-.f64 z t) y) t)
▶	3.1b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Compiler

Compiled 25 to 15 computations (40% saved)

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(*.f64 (/.f64 x y) (-.f64 z t))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series17.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
377×	`prod-diff_binary64`
361×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2577	10

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

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

simplify138.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	468
1	29	468
2	64	468
3	122	468
4	239	468
5	423	468
6	743	468
7	1159	468
8	1960	468
9	2793	468
10	2872	468
11	2902	468
12	2907	468
13	2907	468

Stop Event

1×

saturated

Counts

103 → 62

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)))

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z t) y)
✓	7.1b	(fma.f64 x (/.f64 (-.f64 z t) y) t)

Compiler

Compiled 24 to 7 computations (70.8% saved)

series23.0ms (0.2%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(fma.f64 x (/.f64 (-.f64 z t) y) t)
2.0ms	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	t	@	-inf	(fma.f64 x (/.f64 (-.f64 z t) y) t)
1.0ms	x	@	0	(fma.f64 x (/.f64 (-.f64 z t) y) t)

rewrite182.0ms (1.7%)

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

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simplify134.0ms (1.3%)

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)

eval124.0ms (1.2%)

Compiler: Compiled 7904 to 2801 computations (64.6% saved)

prune60.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	285	12	297
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	287	12	299

Error

Counts

299 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	t
▶	2.9b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
▶	29.9b	(*.f64 (-.f64 z t) (/.f64 x y))
	8.1b	(+.f64 (/.f64 1 (/.f64 y (*.f64 x (-.f64 z t)))) t)
	7.4b	(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
	3.6b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) 3) t)
▶	41.9b	(*.f64 z (/.f64 x y))
	43.1b	(/.f64 (*.f64 z x) y)
▶	23.8b	(-.f64 t (*.f64 t (/.f64 x y)))
	17.2b	(+.f64 (/.f64 (*.f64 z x) y) t)
▶	7.5b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
	33.7b	(/.f64 (*.f64 (-.f64 z t) x) y)

Compiler

Compiled 269 to 174 computations (35.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.1b	(/.f64 (-.f64 z t) (/.f64 y x))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 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	z	@	inf	(/.f64 (-.f64 z t) (/.f64 y x))
0.0ms	z	@	-inf	(/.f64 (-.f64 z t) (/.f64 y x))

rewrite167.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`prod-diff_binary64`
564×	`log-prod_binary64`
359×	`egg-rr`
268×	`pow2_binary64`
196×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	10
2	2951	10

Stop Event

1×	node limit

Counts

1 → 359

Calls

Call 1

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

Outputs

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

simplify118.0ms (1.1%)

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

407 → 365

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))
(+.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))
(+.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))
(/.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 x (/.f64 (-.f64 z 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))
(+.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))
(/.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 x (/.f64 (-.f64 z 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))
(+.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))
(/.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 x (/.f64 (-.f64 z 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))
(+.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))
(.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))
(+.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))
(+.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))
(.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))
(+.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))
(+.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))
(/.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))
(/.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))
(/.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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(*.f64 z (/.f64 x y))

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (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 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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(*.f64 (-.f64 z t) (/.f64 x y))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
377×	`prod-diff_binary64`
361×	`exp-prod_binary64`
345×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2568	10

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify115.0ms (1.1%)

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

102 → 60

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))
(+.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))
(+.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))
(/.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 x (/.f64 (-.f64 z 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))
(+.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))
(/.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 x (/.f64 (-.f64 z 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))
(+.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))
(/.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 x (/.f64 (-.f64 z 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))
(+.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))
(.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))
(+.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))
(+.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))
(.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))
(+.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))
(+.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))
(/.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))
(/.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))
(/.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))

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.2b	(*.f64 t (/.f64 x y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series17.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(*.f64 t (/.f64 x y))
1.0ms	x	@	0	(*.f64 t (/.f64 x y))
1.0ms	y	@	0	(*.f64 t (/.f64 x y))
1.0ms	t	@	0	(*.f64 t (/.f64 x y))
1.0ms	y	@	inf	(*.f64 t (/.f64 x y))

rewrite66.0ms (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 t (/.f64 x y))

Outputs

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

simplify25.0ms (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 → 23

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)

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 z t) y)
✓	8.5b	(*.f64 x (/.f64 (-.f64 z t) y))

Compiler

Compiled 32 to 8 computations (75% saved)

series6.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite123.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
507×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
258×	`pow2_binary64`
198×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2685	10

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	468
1	29	468
2	64	468
3	122	468
4	239	468
5	423	468
6	743	468
7	1159	468
8	1960	468
9	2793	468
10	2872	468
11	2902	468
12	2907	468
13	2907	468

Stop Event

1×

saturated

Counts

78 → 37

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 -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)

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

eval611.0ms (5.7%)

Compiler: Compiled 24149 to 8175 computations (66.1% saved)

prune331.0ms (3.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	684	9	693
Fresh	5	2	7
Picked	1	0	1
Done	1	3	4
Total	691	14	705

Error

Counts

705 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.9b	(*.f64 z (/.f64 x y))
▶	44.3b	(*.f64 x (/.f64 z y))
▶	17.2b	(+.f64 (/.f64 (*.f64 z x) y) t)
✓	23.8b	(-.f64 t (*.f64 t (/.f64 x y)))
✓	29.9b	(*.f64 (-.f64 z t) (/.f64 x y))
▶	29.7b	(/.f64 (-.f64 z t) (/.f64 y x))
	43.2b	(/.f64 1 (/.f64 y (*.f64 z x)))
	41.8b	(/.f64 z (/.f64 y x))
	35.8b	t
▶	7.4b	(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
▶	43.1b	(/.f64 (*.f64 z x) y)
	25.6b	(+.f64 (*.f64 x (/.f64 (neg.f64 t) y)) t)
	8.1b	(+.f64 (*.f64 (/.f64 1 y) (/.f64 (-.f64 z t) (/.f64 1 x))) t)
	52.5b	(/.f64 (*.f64 x (neg.f64 t)) y)

Compiler

Compiled 260 to 174 computations (33.1% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 z t))
✓	8.6b	(/.f64 x (/.f64 y (-.f64 z t)))

Compiler

Compiled 32 to 8 computations (75% saved)

series16.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
404×	`prod-diff_binary64`
309×	`pow-prod-down_binary64`
260×	`pow2_binary64`
181×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2795	17

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (-.f64 z t) y)))))) (#(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 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 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 z t) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 z t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z t) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (-.f64 z t) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (-.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 z t) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 z t) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 z t) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (-.f64 z t) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 z t) y))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 z t) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z t) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 z t))))) 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simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

683×	`distribute-rgt-neg-in_binary64`
591×	`associate-/r/_binary64`
538×	`associate-/l/_binary64`
422×	`unswap-sqr_binary64`
372×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1092
1	158	1074
2	506	966
3	2394	927
4	5940	927

Stop Event

1×	node limit

Counts

174 → 123

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))))
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Outputs
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(+.f64 (/.f64 y z) (.f64 (/.f64 t (.f64 z z)) (+.f64 (/.f64 (*.f64 t y) z) y)))
(+.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 (/.f64 y (/.f64 (.f64 z z) t)) (+.f64 (+.f64 (/.f64 y z) (/.f64 (.f64 y (*.f64 t t)) (pow.f64 z 3))) (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 t 3)))))
(+.f64 (.f64 (/.f64 y z) (/.f64 t z)) (+.f64 (/.f64 y z) (+.f64 (.f64 (/.f64 y (pow.f64 z 3)) (.f64 t t)) (.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 t 3)))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 (*.f64 (/.f64 t z) t) t)) (fma.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 t 3) (/.f64 y z)))
(+.f64 (/.f64 y z) (.f64 (/.f64 y (.f64 z z)) (+.f64 t (.f64 (/.f64 t z) (+.f64 t (.f64 t (/.f64 t z)))))))
(*.f64 -1 (/.f64 y t))
(neg.f64 (/.f64 y t))
(/.f64 (neg.f64 y) t)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (*.f64 -1 (/.f64 y t)))
(.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 t t) z)) (/.f64 y t)))
(-.f64 (/.f64 (neg.f64 y) t) (*.f64 (/.f64 y t) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 -1 (/.f64 z 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))))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 t t) z)) (.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (*.f64 z z))) (/.f64 y t))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (pow.f64 t 3)) (.f64 z z))) (*.f64 (/.f64 y t) (/.f64 z t)))
(-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (*.f64 (/.f64 z t) z))))
(.f64 (/.f64 y t) (-.f64 -1 (.f64 (+.f64 1 (/.f64 z t)) (/.f64 z 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)))))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 t t) z)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 z z))) (.f64 -1 (+.f64 (/.f64 (.f64 y (pow.f64 z 3)) (pow.f64 t 4)) (/.f64 y t)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 z 3))) (.f64 (/.f64 y (pow.f64 t 3)) (.f64 z z))) (.f64 (/.f64 y t) (/.f64 z t)))
(-.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 z 3) (/.f64 y t))) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (*.f64 (/.f64 z t) z))))
(-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (.f64 (+.f64 1 (/.f64 z t)) (.f64 z (/.f64 z t))))))
(-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (.f64 (/.f64 z t) (.f64 (+.f64 1 (/.f64 z t)) z)))))
(*.f64 -1 (/.f64 y t))
(neg.f64 (/.f64 y t))
(/.f64 (neg.f64 y) t)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 t 2))) (*.f64 -1 (/.f64 y t)))
(.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 t t) z)) (/.f64 y t)))
(-.f64 (/.f64 (neg.f64 y) t) (*.f64 (/.f64 y t) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 -1 (/.f64 z 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))))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 t t) z)) (.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 t 3) (*.f64 z z))) (/.f64 y t))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (pow.f64 t 3)) (.f64 z z))) (*.f64 (/.f64 y t) (/.f64 z t)))
(-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (*.f64 (/.f64 z t) z))))
(.f64 (/.f64 y t) (-.f64 -1 (.f64 (+.f64 1 (/.f64 z t)) (/.f64 z 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)))))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 t t) z)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 t 3) (.f64 z z))) (.f64 -1 (+.f64 (/.f64 (.f64 y (pow.f64 z 3)) (pow.f64 t 4)) (/.f64 y t)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 z 3))) (.f64 (/.f64 y (pow.f64 t 3)) (.f64 z z))) (.f64 (/.f64 y t) (/.f64 z t)))
(-.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 z 3) (/.f64 y t))) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (*.f64 (/.f64 z t) z))))
(-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (.f64 (+.f64 1 (/.f64 z t)) (.f64 z (/.f64 z t))))))
(-.f64 (/.f64 (neg.f64 y) t) (.f64 (/.f64 y (.f64 t t)) (+.f64 z (.f64 (/.f64 z t) (.f64 (+.f64 1 (/.f64 z t)) z)))))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.5b	(*.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	x	@	inf	(*.f64 x (/.f64 z y))
0.0ms	y	@	inf	(*.f64 x (/.f64 z y))
0.0ms	z	@	inf	(*.f64 x (/.f64 z y))

rewrite239.0ms (2.2%)

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 (0.3%)

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))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite254.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 z x) y) t)
	6.9b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite84.0ms (0.8%)

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	10
1	175	10
2	2592	8

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

((#(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)))))

simplify32.0ms (0.3%)

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

118 → 75

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)))
(+.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)))
(+.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)
(/.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)
(/.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)))
(+.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)))
(+.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)))
(+.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)))
(+.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)

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.1b	(/.f64 (-.f64 z t) (/.f64 y x))

Compiler

Compiled 21 to 7 computations (66.7% saved)

eval452.0ms (4.2%)

Compiler: Compiled 19128 to 6129 computations (68% saved)

prune302.0ms (2.8%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	665	4	669
Fresh	2	4	6
Picked	0	1	1
Done	0	7	7
Total	667	16	683

Error

Counts

683 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.3b	(/.f64 x (/.f64 y z))
▶	43.2b	(/.f64 1 (/.f64 y (*.f64 z x)))
✓	41.9b	(*.f64 z (/.f64 x y))
✓	44.3b	(*.f64 x (/.f64 z y))
✓	17.2b	(+.f64 (/.f64 (*.f64 z x) y) t)
✓	23.8b	(-.f64 t (*.f64 t (/.f64 x y)))
	33.8b	(*.f64 (/.f64 1 y) (/.f64 (-.f64 z t) (/.f64 1 x)))
▶	52.5b	(/.f64 (*.f64 x (neg.f64 t)) y)
✓	29.9b	(*.f64 (-.f64 z t) (/.f64 x y))
✓	29.7b	(/.f64 (-.f64 z t) (/.f64 y x))
▶	41.8b	(/.f64 z (/.f64 y x))
	35.8b	t
✓	7.4b	(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓	43.1b	(/.f64 (*.f64 z x) y)
▶	25.5b	(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
	25.6b	(+.f64 (*.f64 x (/.f64 (neg.f64 t) y)) t)

Compiler

Compiled 245 to 166 computations (32.2% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.9b	(/.f64 x (/.f64 (neg.f64 y) t))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	156	7
2	2428	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.4%)

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)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.5b	(/.f64 x (/.f64 y z))

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

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 x (/.f64 y z))

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

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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(/.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	z	@	-inf	(/.f64 z (/.f64 y x))
0.0ms	y	@	-inf	(/.f64 z (/.f64 y x))

rewrite198.0ms (1.9%)

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))))))))

simplify14.0ms (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
✓	7.7b	(/.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)

rewrite56.0ms (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)))))))

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

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)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (/.f64 y (*.f64 z x)))
✓	6.9b	(/.f64 y (*.f64 z x))

Compiler

Compiled 23 to 9 computations (60.9% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	14
2	2220	14

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 y (*.f64 z x))
(/.f64 1 (/.f64 y (*.f64 z x)))

Outputs

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

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

simplify16.0ms (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

119 → 85

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))

eval48.0ms (0.4%)

Compiler: Compiled 2634 to 990 computations (62.4% saved)

prune54.0ms (0.5%)

Pruning

17 alts after pruning (4 fresh and 13 done)

	Pruned	Kept	Total
New	252	3	255
Fresh	2	1	3
Picked	0	1	1
Done	0	12	12
Total	254	17	271

Error

Counts

271 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	52.6b	(.f64 (.f64 x t) (/.f64 1 (neg.f64 y)))
✓	29.9b	(*.f64 (-.f64 z t) (/.f64 x y))
✓	44.3b	(/.f64 x (/.f64 y z))
✓	43.2b	(/.f64 1 (/.f64 y (*.f64 z x)))
	50.4b	(*.f64 t (neg.f64 (/.f64 x y)))
✓	43.1b	(/.f64 (*.f64 z x) y)
✓	41.9b	(*.f64 z (/.f64 x y))
✓	44.3b	(*.f64 x (/.f64 z y))
✓	17.2b	(+.f64 (/.f64 (*.f64 z x) y) t)
✓	23.8b	(-.f64 t (*.f64 t (/.f64 x y)))
✓	29.7b	(/.f64 (-.f64 z t) (/.f64 y x))
✓	41.8b	(/.f64 z (/.f64 y x))
	35.8b	t
✓	7.4b	(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓	25.5b	(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
	25.6b	(+.f64 (*.f64 (neg.f64 x) (/.f64 t y)) t)
✓	52.5b	(/.f64 (*.f64 x (neg.f64 t)) y)

Compiler

Compiled 174 to 117 computations (32.8% saved)

regimes296.0ms (2.8%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

7 calls:

83.0ms	y
70.0ms	z
36.0ms	x
30.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
27.0ms	(/.f64 x y)

Results

Error	Segments	Branch
1.8b	2	`x`
1.6b	3	`y`
1.8b	3	`z`
2.9b	1	`t`
1.7b	2	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.7b	2	`(/.f64 x y)`
1.7b	2	`(/.f64 x y)`

Compiler

Compiled 267 to 111 computations (58.4% saved)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	3.1755884411652144e-86	5.854785358923571e-84
12.0ms	-4957925211243030.0	-4547.180677079413

Compiler

Compiled 84 to 58 computations (31% saved)

regimes213.0ms (2%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

7 calls:

45.0ms	y
40.0ms	z
28.0ms	x
27.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
25.0ms	(/.f64 x y)

Results

Error	Segments	Branch
1.8b	2	`x`
1.6b	3	`y`
1.8b	3	`z`
2.9b	1	`t`
1.7b	2	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.7b	2	`(/.f64 x y)`
1.7b	2	`(/.f64 x y)`

Compiler

Compiled 234 to 99 computations (57.7% saved)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	3.1755884411652144e-86	5.854785358923571e-84
12.0ms	-4957925211243030.0	-4547.180677079413

Compiler

Compiled 80 to 54 computations (32.5% saved)

regimes171.0ms (1.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

7 calls:

33.0ms	z
30.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
26.0ms	x
24.0ms	(/.f64 x y)
22.0ms	(/.f64 x y)

Results

Error	Segments	Branch
1.8b	2	`x`
2.9b	1	`y`
1.8b	3	`z`
2.9b	1	`t`
1.7b	2	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.7b	2	`(/.f64 x y)`
1.7b	2	`(/.f64 x y)`

Compiler

Compiled 223 to 94 computations (57.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.9790329529806632e+303

Compiler

Compiled 20 to 14 computations (30% saved)

regimes241.0ms (2.3%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

6 calls:

57.0ms	y
45.0ms	x
38.0ms	(/.f64 x y)
35.0ms	(/.f64 x y)
32.0ms	t

Results

Error	Segments	Branch
9.1b	5	`x`
12.6b	5	`y`
10.9b	3	`z`
9.3b	3	`t`
3.5b	4	`(/.f64 x y)`
3.5b	4	`(/.f64 x y)`

Compiler

Compiled 163 to 71 computations (56.4% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.576374035638546e-33	4.0054723041070153e-26
0.0ms	-3.007465366929066	-0.00013579658909272473
0.0ms	-inf	-1.9790329529806632e+303

Compiler

Compiled 20 to 14 computations (30% saved)

regimes160.0ms (1.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

6 calls:

45.0ms	y
24.0ms	t
24.0ms	x
24.0ms	z
20.0ms	(/.f64 x y)

Results

Error	Segments	Branch
10.2b	3	`x`
12.9b	5	`y`
11.3b	3	`z`
9.3b	3	`t`
4.7b	3	`(/.f64 x y)`
4.7b	3	`(/.f64 x y)`

Compiler

Compiled 124 to 54 computations (56.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.576374035638546e-33	4.0054723041070153e-26
0.0ms	-3.007465366929066	-0.00013579658909272473

Compiler

Compiled 20 to 14 computations (30% saved)

regimes83.0ms (0.8%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	(/.f64 x y)
26.0ms	(/.f64 x y)
7.0ms	y
7.0ms	t
6.0ms	x

Results

Error	Segments	Branch
17.2b	1	`x`
17.2b	1	`y`
17.2b	1	`z`
17.2b	1	`t`
13.3b	4	`(/.f64 x y)`
13.3b	4	`(/.f64 x y)`

Compiler

Compiled 89 to 46 computations (48.3% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	110006682.03527837	13511564963718.086
0.0ms	-2.6148178321273446e+58	-3.654421298112721e+57
0.0ms	-1.9790329529806632e+303	-1.7610529011378365e+285

Compiler

Compiled 20 to 14 computations (30% saved)

regimes173.0ms (1.6%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	x
32.0ms	y
32.0ms	z
29.0ms	(/.f64 x y)
29.0ms	(/.f64 x y)

Results

Error	Segments	Branch
26.8b	6	`x`
28.9b	5	`y`
29.0b	5	`z`
25.1b	3	`t`
18.5b	5	`(/.f64 x y)`
18.5b	5	`(/.f64 x y)`

Compiler

Compiled 82 to 45 computations (45.1% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	110006682.03527837	13511564963718.086
0.0ms	8.243162507911559e-95	1.1070551632546416e-92
0.0ms	-225.7964457350715	-3.007465366929066
0.0ms	-1.9790329529806632e+303	-1.7610529011378365e+285

Compiler

Compiled 20 to 14 computations (30% saved)

regimes154.0ms (1.4%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

6 calls:

31.0ms	y
30.0ms	x
30.0ms	z
22.0ms	(/.f64 x y)
21.0ms	(/.f64 x y)

Results

Error	Segments	Branch
26.8b	6	`x`
28.9b	5	`y`
29.0b	5	`z`
25.1b	3	`t`
19.5b	4	`(/.f64 x y)`
19.5b	4	`(/.f64 x y)`

Compiler

Compiled 76 to 42 computations (44.7% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	110006682.03527837	13511564963718.086
0.0ms	8.243162507911559e-95	1.1070551632546416e-92
0.0ms	-225.7964457350715	-3.007465366929066

Compiler

Compiled 20 to 14 computations (30% saved)

regimes130.0ms (1.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

6 calls:

31.0ms	y
28.0ms	z
19.0ms	x
18.0ms	(/.f64 x y)
17.0ms	(/.f64 x y)

Results

Error	Segments	Branch
28.5b	3	`x`
28.9b	5	`y`
29.0b	5	`z`
25.1b	3	`t`
22.1b	3	`(/.f64 x y)`
22.1b	3	`(/.f64 x y)`

Compiler

Compiled 70 to 40 computations (42.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.243162507911559e-95	1.1070551632546416e-92
0.0ms	-225.7964457350715	-3.007465366929066

Compiler

Compiled 20 to 14 computations (30% saved)

regimes68.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	y
20.0ms	z
14.0ms	x
11.0ms	t

Results

Error	Segments	Branch
28.5b	3	`x`
31.2b	5	`y`
31.1b	6	`z`
26.2b	3	`t`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.923607043941838e-139	2.217848753812155e-136
19.0ms	-3.4455024631065705e-87	-1.8458816497701537e-91

Compiler

Compiled 20 to 14 computations (30% saved)

regimes16.0ms (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:

5.0ms	y
3.0ms	x
3.0ms	z
3.0ms	t

Results

Error	Segments	Branch
35.8b	1	`x`
35.8b	1	`y`
35.8b	1	`z`
35.8b	1	`t`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
13×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	495
1	111	495
2	130	495
3	142	495
4	147	495
5	148	495

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -10000000000) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 (.f64 (/.f64 1 y) (/.f64 (-.f64 z t) (/.f64 1 x))) t) (+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)))
(if (<=.f64 y -10000000000) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 (/.f64 1 (/.f64 y (.f64 x (-.f64 z t)))) t) (+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)))
(if (<=.f64 (/.f64 x y) -inf.0) (/.f64 (*.f64 (-.f64 z t) x) y) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t))
(if (<=.f64 (/.f64 x y) -inf.0) (/.f64 (.f64 (-.f64 z t) x) y) (if (<=.f64 (/.f64 x y) -2) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 1461501637330903/730750818665451459101842416358141509827966271488) (+.f64 (/.f64 (.f64 z x) y) t) (/.f64 (-.f64 z t) (/.f64 y x)))))
(if (<=.f64 (/.f64 x y) -2) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 1461501637330903/730750818665451459101842416358141509827966271488) (+.f64 (/.f64 (*.f64 z x) y) t) (/.f64 (-.f64 z t) (/.f64 y x))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -19999999999999998876238979948827261631594308857026393931776) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 200000000) (+.f64 (/.f64 (.f64 z x) y) t) (*.f64 t (neg.f64 (/.f64 x y))))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 z (/.f64 x y)) (*.f64 t (neg.f64 (/.f64 x y)))))))
(if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 z (/.f64 x y)) (.f64 t (neg.f64 (/.f64 x y))))))
(if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (/.f64 z (/.f64 y x))))
(if (<=.f64 t -7717046025903615/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) t (if (<=.f64 t 3919916170779941/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 x (/.f64 y z)) t))
t

Outputs
(if (<=.f64 y -10000000000) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 (.f64 (/.f64 1 y) (/.f64 (-.f64 z t) (/.f64 1 x))) t) (+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)))
(if (<=.f64 y -10000000000) (+.f64 t (.f64 (/.f64 x y) (-.f64 z t))) (if (<=.f64 y 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 t (.f64 (/.f64 1 y) (/.f64 (-.f64 z t) (/.f64 1 x)))) (+.f64 t (*.f64 x (/.f64 (-.f64 z t) y)))))
(if (<=.f64 y -10000000000) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 (/.f64 1 (/.f64 y (.f64 x (-.f64 z t)))) t) (+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)))
(if (<=.f64 y -10000000000) (+.f64 t (.f64 (/.f64 x y) (-.f64 z t))) (if (<=.f64 y 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 t (/.f64 1 (/.f64 y (.f64 x (-.f64 z t))))) (+.f64 t (*.f64 x (/.f64 (-.f64 z t) y)))))
(if (<=.f64 (/.f64 x y) -inf.0) (/.f64 (*.f64 (-.f64 z t) x) y) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t))
(if (<=.f64 (/.f64 x y) -inf.0) (/.f64 (*.f64 x (-.f64 z t)) y) (+.f64 t (/.f64 (-.f64 z t) (/.f64 y x))))
(if (<=.f64 (/.f64 x y) -inf.0) (/.f64 (.f64 (-.f64 z t) x) y) (if (<=.f64 (/.f64 x y) -2) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 1461501637330903/730750818665451459101842416358141509827966271488) (+.f64 (/.f64 (.f64 z x) y) t) (/.f64 (-.f64 z t) (/.f64 y x)))))
(if (<=.f64 (/.f64 x y) -inf.0) (/.f64 (.f64 x (-.f64 z t)) y) (if (<=.f64 (/.f64 x y) -2) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 1461501637330903/730750818665451459101842416358141509827966271488) (+.f64 t (/.f64 (.f64 x z) y)) (/.f64 (-.f64 z t) (/.f64 y x)))))
(if (<=.f64 (/.f64 x y) -2) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 1461501637330903/730750818665451459101842416358141509827966271488) (+.f64 (/.f64 (*.f64 z x) y) t) (/.f64 (-.f64 z t) (/.f64 y x))))
(if (<=.f64 (/.f64 x y) -2) (/.f64 (-.f64 z t) (/.f64 y x)) (if (<=.f64 (/.f64 x y) 1461501637330903/730750818665451459101842416358141509827966271488) (+.f64 t (/.f64 (*.f64 x z) y)) (/.f64 (-.f64 z t) (/.f64 y x))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -19999999999999998876238979948827261631594308857026393931776) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 200000000) (+.f64 (/.f64 (.f64 z x) y) t) (*.f64 t (neg.f64 (/.f64 x y))))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -19999999999999998876238979948827261631594308857026393931776) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 200000000) (+.f64 t (/.f64 (.f64 x z) y)) (*.f64 t (/.f64 (neg.f64 x) y)))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -19999999999999998876238979948827261631594308857026393931776) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 200000000) (+.f64 t (/.f64 (.f64 x z) y)) (*.f64 (/.f64 x y) (neg.f64 t)))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 z (/.f64 x y)) (*.f64 t (neg.f64 (/.f64 x y)))))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 (/.f64 x y) z) (*.f64 t (/.f64 (neg.f64 x) y))))))
(if (<=.f64 (/.f64 x y) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (/.f64 (.f64 x (neg.f64 t)) y) (if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 (/.f64 x y) z) (*.f64 (/.f64 x y) (neg.f64 t))))))
(if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 z (/.f64 x y)) (.f64 t (neg.f64 (/.f64 x y))))))
(if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 (/.f64 x y) z) (.f64 t (/.f64 (neg.f64 x) y)))))
(if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (if (<=.f64 (/.f64 x y) 200000000) (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))))
(if (<=.f64 (/.f64 x y) -200) (/.f64 z (/.f64 y x)) (if (<=.f64 (/.f64 x y) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) t (/.f64 z (/.f64 y x))))
(if (<=.f64 t -7717046025903615/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) t (if (<=.f64 t 3919916170779941/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 x (/.f64 y z)) t))
t

Compiler

Compiled 384 to 194 computations (49.5% saved)

soundness190.0ms (1.8%)

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

Compiler

Compiled 77 to 47 computations (39% saved)

end242.0ms (2.3%)

Compiler: Compiled 344 to 110 computations (68% 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