Details

analyze1.3s (8.4%)

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%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample93.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	209×	body	128	valid
2.0ms	14×	body	1024	valid
2.0ms	16×	body	512	valid
2.0ms	42×	body	128	invalid
1.0ms	15×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
859×	`div-sub_binary64`
817×	`unsub-neg_binary64`
555×	`neg-mul-1_binary64`
380×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	24	17
2	52	17
3	155	17
4	477	17
5	1268	17
6	3213	17
7	4154	17
8	4434	17
9	4965	17
10	4951	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

14.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	14.7b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
	14.8b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 100 to 54 computations (46% saved)

localize10.0ms (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)

series98.0ms (0.6%)

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))

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:

8.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
0.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

simplify123.0ms (0.8%)

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

prune122.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	125	11	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Error

1.8b

Counts

138 → 11

Alt Table

Status	Error	Program
	15.6b	(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)))
	45.0b	(-.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))))))))
	35.4b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	34.0b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	38.3b	(fma.f64 (-.f64 y z) (exp.f64 (log.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	36.9b	(*.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)))
	40.3b	(-.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)))
▶	15.3b	(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)
	43.0b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	21.5b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))

Compiler

Compiled 5160 to 1644 computations (68.1% 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)))
✓	0.6b	(cbrt.f64 (-.f64 a z))
✓	14.6b	(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 (1.2%)

Counts

4 → 156

Calls

4 calls:

67.0ms	(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)
49.0ms	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
33.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
30.0ms	(cbrt.f64 (-.f64 a z))

rewrite66.0ms (0.4%)

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))))
9.0ms	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
3.0ms	(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)

simplify172.0ms (1.1%)

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

prune345.0ms (2.3%)

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

1.8b

Counts

485 → 11

Alt Table

Status	Error	Program
▶	15.6b	(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)))
	45.0b	(-.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))))))))
	35.4b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	34.0b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	38.3b	(fma.f64 (-.f64 y z) (exp.f64 (log.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	36.9b	(*.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)))
	40.3b	(-.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)))
✓	15.3b	(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)
	43.0b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	21.5b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))

Compiler

Compiled 19218 to 6341 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)))
✓	14.6b	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)

series121.0ms (0.8%)

Counts

3 → 156

Calls

3 calls:

61.0ms	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)
31.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
29.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite44.0ms (0.3%)

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:

10.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
9.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
0.0ms	(fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)

simplify163.0ms (1.1%)

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

prune237.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	315	2	317
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	317	11	328

Error

1.8b

Counts

328 → 11

Alt Table

Status	Error	Program
	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)))
	45.0b	(-.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))))))))
✓	15.3b	(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)
▶	14.8b	(fma.f64 (-.f64 y z) (/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x))) x)
	35.4b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	34.0b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	39.3b	(exp.f64 (log.f64 (fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)))
	36.9b	(*.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)))
	40.3b	(-.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)))
	43.0b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	21.5b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))

Compiler

Compiled 10239 to 3169 computations (69% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 t x))
✓	0.0b	(/.f64 1 (-.f64 a z))
✓	0.3b	(/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x)))
✓	14.7b	(fma.f64 (-.f64 y z) (/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x))) x)

series118.0ms (0.8%)

Counts

4 → 156

Calls

4 calls:

71.0ms	(fma.f64 (-.f64 y z) (/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x))) x)
28.0ms	(/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x)))
9.0ms	(/.f64 1 (-.f64 a z))
8.0ms	(/.f64 1 (-.f64 t x))

rewrite130.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

1131×	`times-frac_binary64`
700×	`*-un-lft-identity_binary64`
700×	`add-sqr-sqrt_binary64`
420×	`add-cube-cbrt_binary64`
140×	`distribute-lft-out--_binary64`

Counts

4 → 613

Calls

4 calls:

18.0ms	(/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x)))
4.0ms	(/.f64 1 (-.f64 a z))
4.0ms	(/.f64 1 (-.f64 t x))
0.0ms	(fma.f64 (-.f64 y z) (/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x))) x)

simplify428.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

280×	`fma-neg_binary64`
254×	`times-frac_binary64`
240×	`associate-/l*_binary64`
227×	`associate-/r*_binary64`
224×	`associate-/l/_binary64`

Counts

769 → 649

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	23059
1	1597	21158
2	4850	21158
3	5084	21158

prune529.0ms (3.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	648	1	649
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	648	12	660

Error

1.8b

Counts

660 → 12

Alt Table

Status	Error	Program
	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)))
	45.0b	(-.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))))))))
✓	15.3b	(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)
✓	14.8b	(fma.f64 (-.f64 y z) (/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x))) x)
	14.9b	(+.f64 (*.f64 (-.f64 y z) (/.f64 (/.f64 1 (-.f64 a z)) (/.f64 1 (-.f64 t x)))) x)
	43.0b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	35.4b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	34.0b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	39.3b	(exp.f64 (log.f64 (fma.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))) x)))
	36.9b	(*.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)))
	40.3b	(-.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)))
	21.5b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))

Compiler

Compiled 21476 to 8796 computations (59% saved)

regimes9.7s (63.2%)

Accuracy

Total 5.7b remaining (83.9%)

Threshold costs 0b (0%)

Counts

296 → 6

Compiler

Compiled 53922 to 31734 computations (41.1% saved)

bsearch15.0ms (0.1%)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
23×	`*-commutative_binary64`
22×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	314
1	88	314
2	114	314
3	144	314
4	184	314
5	202	314
6	212	314
7	215	314
8	214	314

end1.0ms (0%)

Compiler: Compiled 217 to 56 computations (74.2% saved)

sample1.2s (7.8%)

Algorithm

1×

intervals

Results

320.0ms	6681×	body	128	valid
82.0ms	500×	body	512	valid
62.0ms	356×	body	1024	valid
58.0ms	1225×	body	128	invalid
36.0ms	398×	body	256	valid
14.0ms	65×	body	2048	valid

Compiler

Compiled 643 to 272 computations (57.7% saved)

Iter	Nodes	Cost
0	60	314
1	88	314
2	114	314
3	144	314
4	184	314
5	202	314
6	212	314
7	215	314
8	214	314

Iter	Nodes	Cost
0	60	314
1	88	314
2	114	314
3	144	314
4	184	314
5	202	314
6	212	314
7	215	314
8	214	314

Details

analyze1.3s (8.4%)

sample93.0ms (0.6%)

simplify82.0ms (0.5%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series98.0ms (0.6%)

rewrite12.0ms (0.1%)

simplify123.0ms (0.8%)

prune122.0ms (0.8%)

localize14.0ms (0.1%)

series180.0ms (1.2%)

rewrite66.0ms (0.4%)

simplify172.0ms (1.1%)

prune345.0ms (2.3%)

localize9.0ms (0.1%)

series121.0ms (0.8%)

rewrite44.0ms (0.3%)

simplify163.0ms (1.1%)

prune237.0ms (1.6%)

localize11.0ms (0.1%)

series118.0ms (0.8%)

rewrite130.0ms (0.8%)

simplify428.0ms (2.8%)

prune529.0ms (3.5%)

regimes9.7s (63.2%)

bsearch15.0ms (0.1%)

simplify14.0ms (0.1%)

end1.0ms (0%)

sample1.2s (7.8%)

Profiling

Iter	Nodes	Cost
0	60	314
1	88	314
2	114	314
3	144	314
4	184	314
5	202	314
6	212	314
7	215	314
8	214	314