Details

analyze1.5s (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.1%	87.7%	0.2%	13
21.4%	78.3%	0.4%	14

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.7s (9.1%)

Results

961.0ms	6901×	body	128	valid
182.0ms	1226×	body	128	invalid
149.0ms	383×	body	1024	valid
146.0ms	487×	body	512	valid
91.0ms	419×	body	256	valid
32.0ms	66×	body	2048	valid

Compiler

Compiled 56 to 35 computations (37.5% saved)

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

836×	`unsub-neg_binary64`
769×	`fma-def_binary64`
696×	`div-sub_binary64`
646×	`sub-neg_binary64`
478×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	52	17
3	144	17
4	421	17
5	1092	17
6	2657	17
7	3901	17
8	4408	17
9	4807	17
10	4881	17

prune4.0ms (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

11.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.6b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
	23.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

Compiler

Compiled 100 to 55 computations (45% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
✓	15.6b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

series90.0ms (0.5%)

Counts

2 → 108

Calls

2 calls:

61.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
29.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

2 → 64

Calls

2 calls:

6.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
0.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

523×	`cancel-sign-sub-inv_binary64`
479×	`sub-neg_binary64`
353×	`associate-+r+_binary64`
286×	`+-commutative_binary64`
272×	`associate-+l+_binary64`

Counts

172 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	6269
1	1045	6192
2	3851	6156
3	5233	6156

prune119.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Error

0.9b

Counts

138 → 10

Alt Table

Status	Error	Program
	38.3b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
✓	15.6b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
▶	16.1b	(fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)
	33.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	16.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	43.7b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 a (.f64 a (.f64 x y))) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 a (.f64 a t)) (.f64 z z)) (+.f64 (/.f64 (.f64 x y) z) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) t) (+.f64 (/.f64 (.f64 a t) z) (/.f64 (.f64 a (.f64 x y)) (.f64 z z)))))))) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) x) (+.f64 (/.f64 (.f64 x (.f64 a a)) (.f64 z z)) (+.f64 (/.f64 (.f64 x a) z) (+.f64 (/.f64 (.f64 t y) z) (+.f64 (/.f64 (.f64 a (.f64 t y)) (.f64 z z)) (/.f64 (.f64 a (.f64 a (.f64 t y))) (pow.f64 z 3))))))))
	23.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
	43.5b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	33.1b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	16.3b	(fma.f64 (-.f64 y z) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) x)

Compiler

Compiled 5083 to 1602 computations (68.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
✓	0.5b	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
✓	0.5b	(cbrt.f64 (-.f64 a z))
✓	15.4b	(fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)

series161.0ms (0.9%)

Counts

4 → 156

Calls

4 calls:

64.0ms	(fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)
36.0ms	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
30.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
29.0ms	(cbrt.f64 (-.f64 a z))

rewrite64.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary64`
79×	`*-un-lft-identity_binary64`
61×	`cbrt-prod_binary64`
55×	`times-frac_binary64`
54×	`associate-r_binary64`

Counts

4 → 189

Calls

4 calls:

30.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
8.0ms	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
2.0ms	(cbrt.f64 (-.f64 a z))
0.0ms	(fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)

simplify171.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

378×	`times-frac_binary64`
342×	`associate-/l*_binary64`
321×	`associate-l_binary64`
265×	`associate-/r*_binary64`
177×	`associate-*r/_binary64`

Counts

345 → 372

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	629	12321
1	1804	10868
2	4998	10868

prune375.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	473	1	474
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	473	11	484

Error

0.9b

Counts

484 → 11

Alt Table

Status	Error	Program
	38.3b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
✓	15.6b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
✓	16.1b	(fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)
	33.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	16.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	43.7b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 a (.f64 a (.f64 x y))) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 a (.f64 a t)) (.f64 z z)) (+.f64 (/.f64 (.f64 x y) z) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) t) (+.f64 (/.f64 (.f64 a t) z) (/.f64 (.f64 a (.f64 x y)) (.f64 z z)))))))) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) x) (+.f64 (/.f64 (.f64 x (.f64 a a)) (.f64 z z)) (+.f64 (/.f64 (.f64 x a) z) (+.f64 (/.f64 (.f64 t y) z) (+.f64 (/.f64 (.f64 a (.f64 t y)) (.f64 z z)) (/.f64 (.f64 a (.f64 a (.f64 t y))) (pow.f64 z 3))))))))
	23.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
	43.5b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	40.1b	(.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)))
	33.1b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
▶	16.3b	(fma.f64 (-.f64 y z) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) x)

Compiler

Compiled 19257 to 6343 computations (67.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
	0.5b	(cbrt.f64 (-.f64 a z))
✓	0.6b	(cbrt.f64 (-.f64 t x))
✓	15.4b	(fma.f64 (-.f64 y z) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) x)

series103.0ms (0.6%)

Counts

2 → 84

Calls

2 calls:

74.0ms

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

29.0ms

(cbrt.f64 (-.f64 t x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
2×	`cbrt-div_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms

(cbrt.f64 (-.f64 t x))

0.0ms

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

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

611×	`cancel-sign-sub-inv_binary64`
409×	`sub-neg_binary64`
330×	`associate-+r+_binary64`
267×	`+-commutative_binary64`
244×	`associate-+l+_binary64`

Counts

111 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	5343
1	1073	4895
2	3904	4827
3	5594	4827

prune372.0ms (2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	459	0	459
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	459	11	470

Error

0.9b

Counts

470 → 11

Alt Table

Status	Error	Program
	38.3b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
✓	15.6b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
✓	16.1b	(fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)
	33.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
▶	16.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	43.7b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 a (.f64 a (.f64 x y))) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 a (.f64 a t)) (.f64 z z)) (+.f64 (/.f64 (.f64 x y) z) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) t) (+.f64 (/.f64 (.f64 a t) z) (/.f64 (.f64 a (.f64 x y)) (.f64 z z)))))))) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) x) (+.f64 (/.f64 (.f64 x (.f64 a a)) (.f64 z z)) (+.f64 (/.f64 (.f64 x a) z) (+.f64 (/.f64 (.f64 t y) z) (+.f64 (/.f64 (.f64 a (.f64 t y)) (.f64 z z)) (/.f64 (.f64 a (.f64 a (.f64 t y))) (pow.f64 z 3))))))))
	23.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
	43.5b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	40.1b	(.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)))
	33.1b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
✓	16.3b	(fma.f64 (-.f64 y z) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) x)

Compiler

Compiled 23234 to 7377 computations (68.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
✓	0.4b	(*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
✓	0.5b	(cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))
	15.6b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

series9.3s (51.2%)

Counts

3 → 180

Calls

3 calls:

8.0s

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

1.2s

(cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))

61.0ms

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

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms

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

5.0ms

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

1.0ms

(cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))

simplify640.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

273 → 220

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6011	122693

prune1.7s (9.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	561	2	563
Fresh	0	7	7
Picked	1	0	1
Done	0	3	3
Total	562	12	574

Error

0.9b

Counts

574 → 12

Alt Table

Status	Error	Program
	38.3b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
✓	15.6b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
	33.1b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	57.9b	(.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (pow.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) 2)) (*.f64 2 (log.f64 (/.f64 1 y)))))) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
✓	16.1b	(fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)
	33.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	23.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
	18.6b	(.f64 (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))))) (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	43.5b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	40.1b	(.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))) x)))
✓	16.3b	(fma.f64 (-.f64 y z) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) x)
	43.7b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 a (.f64 a (.f64 x y))) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 a (.f64 a t)) (.f64 z z)) (+.f64 (/.f64 (.f64 x y) z) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) t) (+.f64 (/.f64 (.f64 a t) z) (/.f64 (.f64 a (.f64 x y)) (.f64 z z)))))))) (+.f64 (.f64 (pow.f64 (/.f64 a z) 3) x) (+.f64 (/.f64 (.f64 x (.f64 a a)) (.f64 z z)) (+.f64 (/.f64 (.f64 x a) z) (+.f64 (/.f64 (.f64 t y) z) (+.f64 (/.f64 (.f64 a (.f64 t y)) (.f64 z z)) (/.f64 (.f64 a (.f64 a (.f64 t y))) (pow.f64 z 3))))))))

Compiler

Compiled 140208 to 61006 computations (56.5% saved)

regimes1.4s (7.7%)

Accuracy

Total 5.5b remaining (86.8%)

Threshold costs 0b (0%)

Counts

75 → 5

Compiler

Compiled 14370 to 7116 computations (50.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`+-commutative_binary64`
23×	`*-commutative_binary64`
20×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	268
1	78	268
2	100	268
3	128	268
4	167	268
5	185	268
6	195	268
7	198	268
8	197	268

end200.0ms (1.1%)

Compiler: Compiled 821 to 317 computations (61.4% saved)

Iter	Nodes	Cost
0	53	268
1	78	268
2	100	268
3	128	268
4	167	268
5	185	268
6	195	268
7	198	268
8	197	268

Iter	Nodes	Cost
0	53	268
1	78	268
2	100	268
3	128	268
4	167	268
5	185	268
6	195	268
7	198	268
8	197	268

Details

analyze1.5s (8%)

sample1.7s (9.1%)

simplify83.0ms (0.5%)

prune4.0ms (0%)

localize8.0ms (0%)

series90.0ms (0.5%)

rewrite12.0ms (0.1%)

simplify135.0ms (0.7%)

prune119.0ms (0.7%)

localize14.0ms (0.1%)

series161.0ms (0.9%)

rewrite64.0ms (0.3%)

simplify171.0ms (0.9%)

prune375.0ms (2.1%)

localize15.0ms (0.1%)

series103.0ms (0.6%)

rewrite4.0ms (0%)

simplify109.0ms (0.6%)

prune372.0ms (2%)

localize11.0ms (0.1%)

series9.3s (51.2%)

rewrite21.0ms (0.1%)

simplify640.0ms (3.5%)

prune1.7s (9.1%)

regimes1.4s (7.7%)

bsearch4.0ms (0%)

simplify11.0ms (0.1%)

end200.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	53	268
1	78	268
2	100	268
3	128	268
4	167	268
5	185	268
6	195	268
7	198	268
8	197	268