Details

analyze1.4s (17.9%)

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
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample93.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	213×	body	128	valid
3.0ms	16×	body	1024	valid
2.0ms	39×	body	128	invalid
2.0ms	13×	body	512	valid
1.0ms	12×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify89.0ms (1.1%)

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

11.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	14.8b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
	23.7b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

Compiler

Compiled 100 to 55 computations (45% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
✓	14.7b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

series97.0ms (1.2%)

Counts

2 → 108

Calls

2 calls:

69.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
28.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

rewrite13.0ms (0.2%)

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))
3.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

simplify121.0ms (1.5%)

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

prune120.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	10	136
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Error

1.9b

Counts

138 → 11

Alt Table

Status	Error	Program
	29.9b	(fma.f64 (-.f64 y z) (.f64 (/.f64 (-.f64 t x) (-.f64 (.f64 a a) (*.f64 z z))) (+.f64 a z)) x)
	37.7b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	40.7b	(-.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)))
	15.5b	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)
	43.7b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	23.7b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.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)
	44.1b	(-.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))))))))
	15.6b	(.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)))
	37.3b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	31.6b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))

Compiler

Compiled 5140 to 1636 computations (68.2% saved)

localize13.0ms (0.2%)

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))))
✓	0.6b	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
✓	0.6b	(cbrt.f64 (-.f64 a z))
✓	14.5b	(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)

series180.0ms (2.2%)

Counts

4 → 156

Calls

4 calls:

71.0ms	(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)
38.0ms	(cbrt.f64 (-.f64 a z))
38.0ms	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
32.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))

rewrite74.0ms (0.9%)

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))))
14.0ms	(*.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)

simplify198.0ms (2.5%)

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

prune367.0ms (4.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	474	0	474
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	474	11	485

Error

1.9b

Counts

485 → 11

Alt Table

Status	Error	Program
	29.9b	(fma.f64 (-.f64 y z) (.f64 (/.f64 (-.f64 t x) (-.f64 (.f64 a a) (*.f64 z z))) (+.f64 a z)) x)
	37.7b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	40.7b	(-.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)))
▶	15.5b	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)
	43.7b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	23.7b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.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)
	44.1b	(-.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))))))))
	15.6b	(.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)))
	37.3b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	31.6b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))

Compiler

Compiled 19198 to 6333 computations (67% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
✓	0.9b	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
✓	14.7b	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)

series137.0ms (1.7%)

Counts

3 → 156

Calls

3 calls:

80.0ms	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)
28.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
28.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite57.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`distribute-lft-out--_binary64`

Counts

3 → 214

Calls

3 calls:

9.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
6.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
0.0ms	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)

simplify185.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-+r+_binary64`
313×	`associate-+l+_binary64`
283×	`times-frac_binary64`
266×	`associate-/l*_binary64`
227×	`associate--l+_binary64`

Counts

370 → 317

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	484	11287
1	1347	10818
2	4997	10818

prune225.0ms (2.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	315	2	317
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	316	12	328

Error

1.9b

Counts

328 → 12

Alt Table

Status	Error	Program
▶	14.9b	(+.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))) x)
	44.1b	(-.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))))))))
	37.7b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	40.7b	(-.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)))
✓	15.5b	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)
	43.7b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	23.7b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.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)
	31.6b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	39.9b	(exp.f64 (log.f64 (fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)))
	15.6b	(.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)))
	37.3b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)

Compiler

Compiled 10220 to 3163 computations (69.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
✓	2.6b	(+.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))) x)
✓	5.1b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

series158.0ms (2%)

Counts

2 → 120

Calls

2 calls:

91.0ms	(+.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))) x)
67.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite136.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

585×	`times-frac_binary64`
535×	`*-un-lft-identity_binary64`
533×	`add-sqr-sqrt_binary64`
187×	`add-cube-cbrt_binary64`
173×	`distribute-lft-out--_binary64`

Counts

2 → 386

Calls

2 calls:

45.0ms	(+.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))) x)
14.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

simplify286.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

844×	`times-frac_binary64`
422×	`associate-/r/_binary64`
239×	`associate-/l*_binary64`
214×	`sub-neg_binary64`
206×	`associate-/l/_binary64`

Counts

506 → 437

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	632	14909
1	1921	14784
2	4844	14700
3	5862	14700

prune341.0ms (4.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	501	6	507
Fresh	2	7	9
Picked	1	0	1
Done	1	1	2
Total	505	14	519

Error

1.9b

Counts

519 → 14

Alt Table

Status	Error	Program
	36.5b	(fma.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 (sqrt.f64 (-.f64 a z)) (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (sqrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 t x)))) x)
	37.7b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	40.7b	(-.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)))
	34.9b	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))) (sqrt.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))) x)
	15.6b	(.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)))
✓	15.5b	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)
	43.7b	(*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
	36.3b	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))) (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))) (.f64 x x)) (-.f64 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))) x))
	15.3b	(fma.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (-.f64 a z) (-.f64 t x))) (cbrt.f64 (/.f64 (-.f64 a z) (-.f64 t x))))) (/.f64 (-.f64 y z) (cbrt.f64 (/.f64 (-.f64 a z) (-.f64 t x)))) x)
	44.1b	(-.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))))))))
	15.5b	(fma.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (/.f64 1 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))))) (/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (-.f64 a z) (cbrt.f64 (-.f64 t x)))) x)
	52.1b	(fma.f64 (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) 1) (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (-.f64 a z) (-.f64 t x))) x)
	37.3b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	31.6b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))

Compiler

Compiled 17230 to 3725 computations (78.4% saved)

regimes2.4s (30%)

Accuracy

Total 6.2b remaining (84.6%)

Threshold costs 0b (0%)

Counts

190 → 5

Compiler

Compiled 31734 to 16980 computations (46.5% saved)

bsearch12.0ms (0.2%)

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

169×	`cancel-sign-sub-inv_binary64`
154×	`distribute-rgt-neg-in_binary64`
105×	`neg-sub0_binary64`
105×	`neg-mul-1_binary64`
102×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	251
1	85	251
2	118	251
3	160	251
4	219	251
5	266	251
6	320	251
7	382	251
8	456	251
9	555	251
10	680	251
11	777	251
12	840	251
13	877	251
14	898	251
15	907	251
16	909	251
17	905	251

end1.0ms (0%)

Compiler: Compiled 174 to 54 computations (69% saved)

sample1.2s (15.1%)

Algorithm

1×

intervals

Results

364.0ms	6699×	body	128	valid
73.0ms	484×	body	512	valid
69.0ms	363×	body	1024	valid
63.0ms	1259×	body	128	invalid
41.0ms	387×	body	256	valid
15.0ms	67×	body	2048	valid

Compiler

Compiled 719 to 301 computations (58.1% saved)

Iter	Nodes	Cost
0	56	251
1	85	251
2	118	251
3	160	251
4	219	251
5	266	251
6	320	251
7	382	251
8	456	251
9	555	251
10	680	251
11	777	251
12	840	251
13	877	251
14	898	251
15	907	251
16	909	251
17	905	251

Iter	Nodes	Cost
0	56	251
1	85	251
2	118	251
3	160	251
4	219	251
5	266	251
6	320	251
7	382	251
8	456	251
9	555	251
10	680	251
11	777	251
12	840	251
13	877	251
14	898	251
15	907	251
16	909	251
17	905	251

Details

analyze1.4s (17.9%)

sample93.0ms (1.2%)

simplify89.0ms (1.1%)

prune4.0ms (0%)

localize8.0ms (0.1%)

series97.0ms (1.2%)

rewrite13.0ms (0.2%)

simplify121.0ms (1.5%)

prune120.0ms (1.5%)

localize13.0ms (0.2%)

series180.0ms (2.2%)

rewrite74.0ms (0.9%)

simplify198.0ms (2.5%)

prune367.0ms (4.6%)

localize9.0ms (0.1%)

series137.0ms (1.7%)

rewrite57.0ms (0.7%)

simplify185.0ms (2.3%)

prune225.0ms (2.8%)

localize8.0ms (0.1%)

series158.0ms (2%)

rewrite136.0ms (1.7%)

simplify286.0ms (3.6%)

prune341.0ms (4.2%)

regimes2.4s (30%)

bsearch12.0ms (0.2%)

simplify40.0ms (0.5%)

end1.0ms (0%)

sample1.2s (15.1%)

Profiling

Iter	Nodes	Cost
0	56	251
1	85	251
2	118	251
3	160	251
4	219	251
5	266	251
6	320	251
7	382	251
8	456	251
9	555	251
10	680	251
11	777	251
12	840	251
13	877	251
14	898	251
15	907	251
16	909	251
17	905	251