Details

analyze1.5s (18.1%)

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
14.9%	84.9%	0.2%	13
16.1%	83.6%	0.3%	14

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.6s (19.4%)

Results

907.0ms	6969×	body	128	valid
185.0ms	1317×	body	128	invalid
154.0ms	369×	body	1024	valid
148.0ms	486×	body	512	valid
81.0ms	371×	body	256	valid
31.0ms	61×	body	2048	valid

Compiler

Compiled 56 to 35 computations (37.5% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

825×	`unsub-neg_binary64`
766×	`fma-def_binary64`
693×	`div-sub_binary64`
637×	`sub-neg_binary64`
587×	`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	1090	17
6	2642	17
7	3865	17
8	4364	17
9	4936	17
10	4941	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

9.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	10.0b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)
	21.3b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 100 to 55 computations (45% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
✓	3.6b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)

series84.0ms (1%)

Counts

2 → 96

Calls

2 calls:

63.0ms	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)
19.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

rewrite11.0ms (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 z t) (-.f64 a t))
0.0ms	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

615×	`cancel-sign-sub-inv_binary64`
513×	`sub-neg_binary64`
366×	`associate-+r+_binary64`
300×	`+-commutative_binary64`
270×	`associate-+l+_binary64`

Counts

160 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	5871
1	1049	5776
2	3942	5716
3	5417	5716

prune133.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	143	11	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

1.3b

Counts

156 → 11

Alt Table

Status	Error	Program
	10.5b	(fma.f64 (-.f64 y x) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))) x)
	36.4b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	35.2b	(fma.f64 (-.f64 y x) (*.f64 (sqrt.f64 (-.f64 z t)) (/.f64 (sqrt.f64 (-.f64 z t)) (-.f64 a t))) x)
	11.0b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	45.7b	(-.f64 (+.f64 (/.f64 (.f64 a (.f64 z x)) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) y) (pow.f64 t 2)) (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 a x) t) (+.f64 (/.f64 (.f64 y z) t) (/.f64 (.f64 a (.f64 y z)) (pow.f64 t 2))))))
	40.6b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
▶	10.0b	(fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)
	44.6b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	35.0b	(*.f64 (-.f64 (+.f64 1 (/.f64 t (-.f64 a t))) (/.f64 z (-.f64 a t))) x)
	33.3b	(*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y)
	20.0b	(-.f64 (+.f64 (/.f64 (.f64 t x) (-.f64 a t)) (+.f64 (/.f64 (.f64 y z) (-.f64 a t)) x)) (+.f64 (/.f64 (.f64 z x) (-.f64 a t)) (/.f64 (.f64 y t) (-.f64 a t))))

Compiler

Compiled 5579 to 1791 computations (67.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 a t))
✓	0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
✓	3.6b	(fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)

series71.0ms (0.9%)

Counts

3 → 120

Calls

3 calls:

49.0ms	(fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)
16.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
7.0ms	(/.f64 1 (-.f64 a t))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
40×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`

Counts

3 → 105

Calls

3 calls:

12.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
4.0ms	(/.f64 1 (-.f64 a t))
0.0ms	(fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)

simplify139.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

513×	`sub-neg_binary64`
384×	`associate-+r+_binary64`
321×	`+-commutative_binary64`
288×	`associate-+l+_binary64`
224×	`fma-neg_binary64`

Counts

225 → 237

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	6650
1	1099	6387
2	4267	6327
3	5077	6327

prune208.0ms (2.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	235	13	248

Error

1.3b

Counts

248 → 13

Alt Table

Status	Error	Program
	36.5b	(.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)))
	40.6b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
	29.5b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)))
	44.6b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	35.2b	(fma.f64 (-.f64 y x) (*.f64 (sqrt.f64 (-.f64 z t)) (/.f64 (sqrt.f64 (-.f64 z t)) (-.f64 a t))) x)
	11.0b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
▶	10.8b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (/.f64 1 (-.f64 a t))))) x)
	45.7b	(-.f64 (+.f64 (/.f64 (.f64 a (.f64 z x)) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) y) (pow.f64 t 2)) (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 a x) t) (+.f64 (/.f64 (.f64 y z) t) (/.f64 (.f64 a (.f64 y z)) (pow.f64 t 2))))))
	25.7b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 t t))) (+.f64 a t))) x)
	35.0b	(*.f64 (-.f64 (+.f64 1 (/.f64 t (-.f64 a t))) (/.f64 z (-.f64 a t))) x)
	36.4b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	33.3b	(*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y)
	20.0b	(-.f64 (+.f64 (/.f64 (.f64 t x) (-.f64 a t)) (+.f64 (/.f64 (.f64 y z) (-.f64 a t)) x)) (+.f64 (/.f64 (.f64 z x) (-.f64 a t)) (/.f64 (.f64 y t) (-.f64 a t))))

Compiler

Compiled 7564 to 2714 computations (64.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (/.f64 1 (-.f64 a t))))
✓	0.5b	(*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t))))
✓	0.6b	(cbrt.f64 (/.f64 1 (-.f64 a t)))
✓	6.5b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (/.f64 1 (-.f64 a t))))) x)

series120.0ms (1.5%)

Counts

4 → 132

Calls

4 calls:

55.0ms	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (/.f64 1 (-.f64 a t))))) x)
32.0ms	(*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t))))
24.0ms	(cbrt.f64 (/.f64 1 (-.f64 a t)))
9.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (/.f64 1 (-.f64 a t))))

rewrite68.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

169×	`cbrt-prod_binary64`
148×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`
120×	`times-frac_binary64`
67×	`add-cube-cbrt_binary64`

Counts

4 → 226

Calls

4 calls:

19.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (/.f64 1 (-.f64 a t))))
18.0ms	(*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t))))
3.0ms	(cbrt.f64 (/.f64 1 (-.f64 a t)))
1.0ms	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (/.f64 1 (-.f64 a t))))) x)

simplify163.0ms (2%)

Algorithm

1×	egg-herbie

Rules

413×	`associate-+r+_binary64`
350×	`associate-r_binary64`
309×	`associate-l_binary64`
301×	`associate-+l+_binary64`
210×	`times-frac_binary64`

Counts

358 → 383

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	11199
1	1418	10904
2	5081	10904

prune573.0ms (7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	509	2	511
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	510	14	524

Error

1.3b

Counts

524 → 14

Alt Table

Status	Error	Program
	36.5b	(.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)))
	40.6b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
	29.5b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)))
	44.6b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	35.2b	(fma.f64 (-.f64 y x) (*.f64 (sqrt.f64 (-.f64 z t)) (/.f64 (sqrt.f64 (-.f64 z t)) (-.f64 a t))) x)
	11.0b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
▶	10.6b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (-.f64 a t)))) x)
	10.9b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))))))) x)
	45.7b	(-.f64 (+.f64 (/.f64 (.f64 a (.f64 z x)) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) y) (pow.f64 t 2)) (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 a x) t) (+.f64 (/.f64 (.f64 y z) t) (/.f64 (.f64 a (.f64 y z)) (pow.f64 t 2))))))
	25.7b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 t t))) (+.f64 a t))) x)
	35.0b	(*.f64 (-.f64 (+.f64 1 (/.f64 t (-.f64 a t))) (/.f64 z (-.f64 a t))) x)
	36.4b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	33.3b	(*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y)
	20.0b	(-.f64 (+.f64 (/.f64 (.f64 t x) (-.f64 a t)) (+.f64 (/.f64 (.f64 y z) (-.f64 a t)) x)) (+.f64 (/.f64 (.f64 z x) (-.f64 a t)) (/.f64 (.f64 y t) (-.f64 a t))))

Compiler

Compiled 21975 to 11070 computations (49.6% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t))))
✓	0.6b	(cbrt.f64 (-.f64 a t))
	0.6b	(cbrt.f64 (/.f64 1 (-.f64 a t)))
✓	6.8b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (-.f64 a t)))) x)

series106.0ms (1.3%)

Counts

2 → 84

Calls

2 calls:

82.0ms	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (-.f64 a t)))) x)
24.0ms	(cbrt.f64 (-.f64 a t))

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

simplify119.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-+r+_binary64`
321×	`+-commutative_binary64`
284×	`times-frac_binary64`
279×	`associate-+l+_binary64`
253×	`fma-neg_binary64`

Counts

111 → 121

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	5307
1	1217	5202
2	4792	5202
3	5002	5202

prune440.0ms (5.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	400	1	401
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	401	14	415

Error

1.3b

Counts

415 → 14

Alt Table

Status	Error	Program
	36.5b	(.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)))
	40.6b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
	29.5b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))) x)))
	44.6b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	35.2b	(fma.f64 (-.f64 y x) (*.f64 (sqrt.f64 (-.f64 z t)) (/.f64 (sqrt.f64 (-.f64 z t)) (-.f64 a t))) x)
	11.0b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
✓	10.6b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))) (cbrt.f64 (-.f64 a t)))) x)
	10.8b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))) (cbrt.f64 (/.f64 1 (-.f64 a t)))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (-.f64 a t))))) (cbrt.f64 (-.f64 a t)))) x)
	45.7b	(-.f64 (+.f64 (/.f64 (.f64 a (.f64 z x)) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) y) (pow.f64 t 2)) (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 a x) t) (+.f64 (/.f64 (.f64 y z) t) (/.f64 (.f64 a (.f64 y z)) (pow.f64 t 2))))))
	25.7b	(fma.f64 (-.f64 y x) (.f64 (-.f64 z t) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 t t))) (+.f64 a t))) x)
	35.0b	(*.f64 (-.f64 (+.f64 1 (/.f64 t (-.f64 a t))) (/.f64 z (-.f64 a t))) x)
	36.4b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	33.3b	(*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y)
	20.0b	(-.f64 (+.f64 (/.f64 (.f64 t x) (-.f64 a t)) (+.f64 (/.f64 (.f64 y z) (-.f64 a t)) x)) (+.f64 (/.f64 (.f64 z x) (-.f64 a t)) (/.f64 (.f64 y t) (-.f64 a t))))

Compiler

Compiled 17578 to 8399 computations (52.2% saved)

regimes2.3s (28.4%)

Accuracy

Total 6.2b remaining (87.9%)

Threshold costs 0b (0%)

Counts

221 → 3

Compiler

Compiled 40296 to 24894 computations (38.2% saved)

bsearch10.0ms (0.1%)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
16×	`*-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	122
1	56	122
2	71	122
3	87	122
4	109	122
5	121	122
6	129	122
7	132	122
8	131	122

end222.0ms (2.7%)

Compiler: Compiled 635 to 312 computations (50.9% saved)

Details

analyze1.5s (18.1%)

sample1.6s (19.4%)

simplify94.0ms (1.1%)

prune4.0ms (0%)

localize9.0ms (0.1%)

series84.0ms (1%)

rewrite11.0ms (0.1%)

simplify118.0ms (1.4%)

prune133.0ms (1.6%)

localize9.0ms (0.1%)

series71.0ms (0.9%)

rewrite22.0ms (0.3%)

simplify139.0ms (1.7%)

prune208.0ms (2.5%)

localize12.0ms (0.2%)

series120.0ms (1.5%)

rewrite68.0ms (0.8%)

simplify163.0ms (2%)

prune573.0ms (7%)

localize36.0ms (0.4%)

series106.0ms (1.3%)

rewrite4.0ms (0%)

simplify119.0ms (1.5%)

prune440.0ms (5.4%)

regimes2.3s (28.4%)

bsearch10.0ms (0.1%)

simplify8.0ms (0.1%)

end222.0ms (2.7%)

Profiling