Details

analyze1.5s (6.2%)

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)

sample36.0ms (0.1%)

Algorithm

1×

intervals

Results

11.0ms	213×	body	128	valid
2.0ms	12×	body	1024	valid
2.0ms	13×	body	512	valid
2.0ms	41×	body	128	invalid
1.0ms	14×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify93.0ms (0.4%)

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

prune6.0ms (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

11.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.4b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
	24.2b	(+.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))
✓	15.2b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
8×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

2 → 87

Calls

2 calls:

17.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
9.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

series164.0ms (0.7%)

Counts

2 → 108

Calls

2 calls:

107.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
57.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

355×	`associate-+r+_binary64`
298×	`+-commutative_binary64`
280×	`times-frac_binary64`
279×	`fma-neg_binary64`
275×	`associate-+l+_binary64`

Counts

195 → 325

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	6385
1	1115	6302
2	4453	6266
3	4981	6266

prune129.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	316	9	325
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	318	9	327

Error

0.7b

Counts

327 → 9

Alt Table

Status	Error	Program
	28.1b	(fma.f64 (-.f64 y z) (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	20.3b	(-.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))))
▶	15.4b	(fma.f64 (-.f64 y z) (pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1) x)
	37.5b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	29.3b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	35.3b	(-.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)))
	36.2b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	42.7b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	16.0b	(fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)

Compiler

Compiled 5632 to 1626 computations (71.1% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
✓	0.6b	(pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1)
✓	15.1b	(fma.f64 (-.f64 y z) (pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1) x)

rewrite43.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`add-exp-log_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`

Counts

3 → 130

Calls

3 calls:

16.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
11.0ms	(pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1)
10.0ms	(fma.f64 (-.f64 y z) (pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1) x)

series1.1s (4.7%)

Counts

3 → 156

Calls

3 calls:

628.0ms	(fma.f64 (-.f64 y z) (pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1) x)
395.0ms	(pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1)
94.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

simplify799.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

481×	`fma-def_binary64`
368×	`+-commutative_binary64`
302×	`associate-+r+_binary64`
220×	`sub-neg_binary64`
206×	`*-commutative_binary64`

Counts

286 → 481

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	954	18918
1	3454	18299
2	4992	18299
3	4976	18299

prune639.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	481	0	481
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	481	9	490

Error

0.7b

Counts

490 → 9

Alt Table

Status	Error	Program
	28.1b	(fma.f64 (-.f64 y z) (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	20.3b	(-.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))))
✓	15.4b	(fma.f64 (-.f64 y z) (pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1) x)
	37.5b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	29.3b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	35.3b	(-.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)))
	36.2b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	42.7b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
▶	16.0b	(fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)

Compiler

Compiled 17428 to 7307 computations (58.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3)
✓	7.0b	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
✓	15.1b	(fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)

rewrite82.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-cube-cbrt_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`cbrt-div_binary64`
9×	`log1p-expm1-u_binary64`
9×	`expm1-log1p-u_binary64`

Counts

3 → 117

Calls

3 calls:

26.0ms	(pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3)
25.0ms	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
18.0ms	(fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)

series9.8s (40.8%)

Counts

3 → 156

Calls

3 calls:

5.2s	(fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)
3.9s	(pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3)
581.0ms	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))

simplify632.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

487×	`fma-def_binary64`
386×	`associate-/l*_binary64`
332×	`associate-/r*_binary64`
314×	`times-frac_binary64`
107×	`sub-neg_binary64`

Counts

273 → 448

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2307	30108
1	5307	30108

prune1.4s (5.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	606	2	608
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	607	10	617

Error

0.7b

Counts

617 → 10

Alt Table

Status	Error	Program
	42.7b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
▶	16.2b	(.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)) (.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))))
	28.1b	(fma.f64 (-.f64 y z) (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	20.3b	(-.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))))
✓	15.4b	(fma.f64 (-.f64 y z) (pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1) x)
	37.5b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	29.3b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	35.3b	(-.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)))
	36.2b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	55.2b	(-.f64 (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 x x))) (.f64 (-.f64 t x) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 t (.f64 x x))) (.f64 (pow.f64 (-.f64 t x) 2) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) t)) (pow.f64 z 3))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) x) (.f64 z z))) (fma.f64 8/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 t x)) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a x) z)) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 t x)) (.f64 (-.f64 t x) z))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y t)) (.f64 z z))) (fma.f64 (cbrt.f64 -1) x (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y (.f64 t t))) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (pow.f64 t 3)) (.f64 (pow.f64 (-.f64 t x) 2) (.f64 z z)))) (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 t t))) (.f64 (-.f64 t x) (pow.f64 z 3)))) (fma.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (pow.f64 x 3))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 (cbrt.f64 -1) (/.f64 (.f64 y t) z) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 (.f64 t t) x))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y (.f64 x x))) (.f64 (-.f64 t x) (.f64 z z)))) x)))))))))))))))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) x)) (pow.f64 z 3))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y x)) (.f64 z z))) (fma.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (pow.f64 t 3))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 t t)) (.f64 (-.f64 t x) z))) (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 (cbrt.f64 -1) (/.f64 (.f64 y x) z) (fma.f64 8/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 t x))) (.f64 (-.f64 t x) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 x x)) (.f64 (-.f64 t x) z))) (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 t t)) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y (.f64 t x))) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 (.f64 t t) x)) (.f64 (pow.f64 (-.f64 t x) 2) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a t) z)) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 t (.f64 x x)))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 (cbrt.f64 -1) t (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) t) (.f64 z z))) (.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (pow.f64 x 3)) (.f64 (pow.f64 (-.f64 t x) 2) (*.f64 z z)))))))))))))))))))))

Compiler

Compiled 42706 to 22983 computations (46.2% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.0b	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
	15.1b	(fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)
	15.2b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
	15.2b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify32.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune1.5s (6.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	777	1	778
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	777	11	788

Error

0.7b

Counts

788 → 11

Alt Table

Status	Error	Program
	45.8b	(.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)) (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (cbrt.f64 (-.f64 (+.f64 t (/.f64 (.f64 x y) z)) (/.f64 (.f64 t y) z)))))
	29.3b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	42.7b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
✓	16.2b	(.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) 3) x)) (.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))))
	28.1b	(fma.f64 (-.f64 y z) (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	20.3b	(-.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))))
✓	15.4b	(fma.f64 (-.f64 y z) (pow.f64 (/.f64 (-.f64 a z) (-.f64 t x)) -1) x)
	37.5b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)
	35.3b	(-.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)))
	36.2b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)))
	55.2b	(-.f64 (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 x x))) (.f64 (-.f64 t x) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 t (.f64 x x))) (.f64 (pow.f64 (-.f64 t x) 2) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) t)) (pow.f64 z 3))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) x) (.f64 z z))) (fma.f64 8/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 t x)) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a x) z)) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 t x)) (.f64 (-.f64 t x) z))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y t)) (.f64 z z))) (fma.f64 (cbrt.f64 -1) x (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y (.f64 t t))) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (pow.f64 t 3)) (.f64 (pow.f64 (-.f64 t x) 2) (.f64 z z)))) (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 t t))) (.f64 (-.f64 t x) (pow.f64 z 3)))) (fma.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (pow.f64 x 3))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 (cbrt.f64 -1) (/.f64 (.f64 y t) z) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 (.f64 t t) x))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y (.f64 x x))) (.f64 (-.f64 t x) (.f64 z z)))) x)))))))))))))))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) x)) (pow.f64 z 3))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y x)) (.f64 z z))) (fma.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (pow.f64 t 3))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 t t)) (.f64 (-.f64 t x) z))) (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 (cbrt.f64 -1) (/.f64 (.f64 y x) z) (fma.f64 8/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 t x))) (.f64 (-.f64 t x) (pow.f64 z 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 x x)) (.f64 (-.f64 t x) z))) (fma.f64 4/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 t t)) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a (.f64 y (.f64 t x))) (.f64 (-.f64 t x) (.f64 z z)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (.f64 (.f64 t t) x)) (.f64 (pow.f64 (-.f64 t x) 2) (.f64 z z)))) (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 a t) z)) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 y (.f64 (.f64 a a) (.f64 t (.f64 x x)))) (.f64 (pow.f64 (-.f64 t x) 2) (pow.f64 z 3)))) (fma.f64 (cbrt.f64 -1) t (fma.f64 2/3 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) t) (.f64 z z))) (.f64 1/9 (.f64 (cbrt.f64 -1) (/.f64 (.f64 (.f64 a a) (pow.f64 x 3)) (.f64 (pow.f64 (-.f64 t x) 2) (*.f64 z z)))))))))))))))))))))

Compiler

Compiled 49405 to 19913 computations (59.7% saved)

regimes3.8s (15.7%)

Accuracy

Total 6.1b remaining (89.6%)

Threshold costs 0b (0%)

Compiler

Compiled 22398 to 12618 computations (43.7% saved)

bsearch11.0ms (0%)

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

simplify31.0ms (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	55	271
1	80	271
2	101	271
3	129	271
4	168	271
5	186	271
6	196	271
7	199	271
8	198	271

end3.0ms (0%)

Compiler: Compiled 188 to 53 computations (71.8% saved)

sample2.0s (8.4%)

Algorithm

1×

intervals

Results

576.0ms	6721×	body	128	valid
156.0ms	487×	body	512	valid
113.0ms	353×	body	1024	valid
101.0ms	1149×	body	128	invalid
59.0ms	364×	body	256	valid
30.0ms	75×	body	2048	valid

Compiler

Compiled 1069 to 503 computations (52.9% saved)

Iter	Nodes	Cost
0	55	271
1	80	271
2	101	271
3	129	271
4	168	271
5	186	271
6	196	271
7	199	271
8	198	271

Iter	Nodes	Cost
0	55	271
1	80	271
2	101	271
3	129	271
4	168	271
5	186	271
6	196	271
7	199	271
8	198	271

Details

analyze1.5s (6.2%)

sample36.0ms (0.1%)

simplify93.0ms (0.4%)

prune6.0ms (0%)

localize8.0ms (0%)

rewrite29.0ms (0.1%)

series164.0ms (0.7%)

simplify161.0ms (0.7%)

prune129.0ms (0.5%)

localize12.0ms (0.1%)

rewrite43.0ms (0.2%)

series1.1s (4.7%)

simplify799.0ms (3.3%)

prune639.0ms (2.7%)

localize22.0ms (0.1%)

rewrite82.0ms (0.3%)

series9.8s (40.8%)

simplify632.0ms (2.6%)

prune1.4s (5.6%)

localize38.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify32.0ms (0.1%)

prune1.5s (6.3%)

regimes3.8s (15.7%)

bsearch11.0ms (0%)

simplify31.0ms (0.1%)

end3.0ms (0%)

sample2.0s (8.4%)

Profiling

Iter	Nodes	Cost
0	55	271
1	80	271
2	101	271
3	129	271
4	168	271
5	186	271
6	196	271
7	199	271
8	198	271