Details

analyze775.0ms (15.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
18.7%	81.1%	0.1%	9
42.1%	57.7%	0.1%	10
49.1%	50.7%	0.1%	11
49.1%	50.7%	0.1%	12
66.9%	33%	0.1%	13
71.7%	28.2%	0.1%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample1.2s (24.1%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
94×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`
66×	`associate-l_binary64`
65×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	39	25
2	71	23
3	134	23
4	247	23
5	389	23
6	567	23
7	670	23
8	831	23
9	914	23
10	974	23
11	975	23
12	972	23

prune5.0ms (0.1%)

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

14.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	18.6b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	14.8b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Status

Error

Program

18.6b

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

▶

14.8b

(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Compiler

Compiled 129 to 93 computations (27.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	0.2b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
✓	0.2b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	14.6b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series96.0ms (1.9%)

Counts

4 → 72

Calls

4 calls:

89.0ms	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
3.0ms	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
2.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
1.0ms	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 59

Calls

4 calls:

2.0ms	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
0.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
0.0ms	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
0.0ms	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

simplify134.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
357×	`associate-/l*_binary64`
357×	`times-frac_binary64`
331×	`fma-def_binary64`
198×	`associate-/l/_binary64`

Counts

131 → 117

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	173	3421
1	401	2901
2	1026	2870
3	2987	2573
4	4986	2571
5	5278	2571

prune134.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	112	7	119

Error

0.1b

Counts

119 → 7

Alt Table

Status	Error	Program
	48.0b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
	15.8b	(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
	18.6b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	15.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
	41.7b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
▶	13.5b	(fma.f64 y 692910599291889/10000000000000000 x)
	14.9b	(fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x)

Compiler

Compiled 3053 to 2115 computations (30.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 y 692910599291889/10000000000000000 x)

series3.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(fma.f64 y 692910599291889/10000000000000000 x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y 692910599291889/10000000000000000 x)

simplify89.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-rgt-in_binary64`
623×	`distribute-lft-out_binary64`
494×	`distribute-lft-in_binary64`
445×	`distribute-rgt-out_binary64`
411×	`associate-l_binary64`

Counts

34 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	193
1	20	182
2	42	182
3	103	182
4	282	182
5	916	182
6	1568	182
7	2166	182
8	2356	182
9	2900	182
10	3204	182
11	3902	182
12	5196	182

prune25.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Error

0.1b

Counts

28 → 8

Alt Table

Status	Error	Program
	48.0b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
	49.2b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	15.8b	(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
	18.6b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	14.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	41.7b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
✓	13.5b	(fma.f64 y 692910599291889/10000000000000000 x)
	14.9b	(fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x)

Compiler

Compiled 572 to 396 computations (30.8% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 y 692910599291889/10000000000000000 x)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	0.6b	(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))

series54.0ms (1.1%)

Counts

3 → 72

Calls

3 calls:

26.0ms

(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

22.0ms

(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))

5.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

rewrite16.0ms (0.3%)

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 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

1.0ms

(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))

simplify135.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

849×	`times-frac_binary64`
648×	`fma-def_binary64`
254×	`fma-neg_binary64`
228×	`cancel-sign-sub-inv_binary64`
196×	`associate-r_binary64`

Counts

165 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3559
1	703	3353
2	2172	3016
3	4969	3016
4	5071	3016

prune284.0ms (5.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	363	3	366
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	363	11	374

Error

0.0b

Counts

374 → 11

Alt Table

Status	Error	Program
	14.7b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 4)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	14.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	48.0b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
	49.2b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	15.8b	(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
	14.9b	(fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x)
▶	14.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
	18.6b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	54.2b	(.f64 (cbrt.f64 (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	41.7b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
✓	13.5b	(fma.f64 y 692910599291889/10000000000000000 x)

Compiler

Compiled 11175 to 7992 computations (28.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	0.6b	(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))

series50.0ms (1%)

Counts

2 → 48

Calls

2 calls:

28.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))

22.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))

1.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

simplify97.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

849×	`times-frac_binary64`
640×	`fma-def_binary64`
330×	`fma-neg_binary64`
218×	`cancel-sign-sub-inv_binary64`
162×	`associate-/r/_binary64`

Counts

75 → 106

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	241	2681
1	637	2587
2	1960	2382
3	4937	2380
4	5099	2380

prune636.0ms (12.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	558	1	559
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	559	11	570

Error

0.0b

Counts

570 → 11

Alt Table

Status	Error	Program
	14.7b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 4)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	14.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	48.0b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
	49.2b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	15.8b	(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
	14.8b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
	18.6b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	54.2b	(.f64 (cbrt.f64 (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	41.7b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
✓	13.5b	(fma.f64 y 692910599291889/10000000000000000 x)
	14.9b	(fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x)

Compiler

Compiled 26763 to 19376 computations (27.6% saved)

regimes954.0ms (19%)

Accuracy

Total 0.1b remaining (55.2%)

Threshold costs 0.1b (55.2%)

Counts

90 → 3

Compiler

Compiled 10903 to 7988 computations (26.7% saved)

bsearch33.0ms (0.7%)

Steps

Iters	Range		Point
10	5.810567077241133e-5	2622842.202540907	2586647.2206504447
1	-2.0810166355052703e+43	-1.7029194864713136e+41	-1.9660726989137628e+42

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	59
1	27	59
2	27	59

end231.0ms (4.6%)

Compiler: Compiled 408 to 283 computations (30.6% saved)

Iter	Nodes	Cost
0	19	25
1	39	25
2	71	23
3	134	23
4	247	23
5	389	23
6	567	23
7	670	23
8	831	23
9	914	23
10	974	23
11	975	23
12	972	23

Iter	Nodes	Cost
0	19	25
1	39	25
2	71	23
3	134	23
4	247	23
5	389	23
6	567	23
7	670	23
8	831	23
9	914	23
10	974	23
11	975	23
12	972	23

Details

analyze775.0ms (15.4%)

sample1.2s (24.1%)

simplify26.0ms (0.5%)

prune5.0ms (0.1%)

localize12.0ms (0.2%)

series96.0ms (1.9%)

rewrite5.0ms (0.1%)

simplify134.0ms (2.7%)

prune134.0ms (2.7%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite1.0ms (0%)

simplify89.0ms (1.8%)

prune25.0ms (0.5%)

localize6.0ms (0.1%)

series54.0ms (1.1%)

rewrite16.0ms (0.3%)

simplify135.0ms (2.7%)

prune284.0ms (5.6%)

localize9.0ms (0.2%)

series50.0ms (1%)

rewrite5.0ms (0.1%)

simplify97.0ms (1.9%)

prune636.0ms (12.6%)

regimes954.0ms (19%)

bsearch33.0ms (0.7%)

simplify3.0ms (0.1%)

end231.0ms (4.6%)

Profiling

Iter	Nodes	Cost
0	19	25
1	39	25
2	71	23
3	134	23
4	247	23
5	389	23
6	567	23
7	670	23
8	831	23
9	914	23
10	974	23
11	975	23
12	972	23