Details

analyze494.0ms (5.9%)

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
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
49.9%	49.9%	0.1%	6
49.9%	49.9%	0.1%	7
49.9%	49.9%	0.1%	8
49.9%	49.9%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
87.4%	12.5%	0.1%	13
87.4%	12.5%	0.1%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample1.8s (21.9%)

Results

1.7s

8256×

body

128

valid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify36.0ms (0.4%)

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

prune8.0ms (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

14.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	14.1b	(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)
	18.2b	(+.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)))

Status

Error

Program

▶

14.1b

(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)

18.2b

(+.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)))

Compiler

Compiled 129 to 93 computations (27.9% saved)

localize23.0ms (0.3%)

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)
✓	13.7b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series179.0ms (2.1%)

Counts

4 → 72

Calls

4 calls:

166.0ms	(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)
6.0ms	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
4.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
3.0ms	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)

rewrite10.0ms (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:

4.0ms	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
1.0ms	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
1.0ms	(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)
1.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

simplify235.0ms (2.8%)

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

prune227.0ms (2.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Error

0.1b

Counts

119 → 9

Alt Table

Status	Error	Program
	14.3b	(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
	14.2b	(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)
▶	13.2b	(fma.f64 y 692910599291889/10000000000000000 x)
	38.5b	(*.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)))
	15.1b	(.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)))
	43.6b	(cbrt.f64 (pow.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) 3))
	40.4b	(exp.f64 (log.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)))
	14.1b	(+.f64 (*.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)
	14.7b	(+.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))

Compiler

Compiled 3097 to 2151 computations (30.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 y 692910599291889/10000000000000000 x)

series9.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(fma.f64 y 692910599291889/10000000000000000 x)

rewrite2.0ms (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:

1.0ms

(fma.f64 y 692910599291889/10000000000000000 x)

simplify113.0ms (1.4%)

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

prune33.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	19	11	30

Error

0.1b

Counts

30 → 11

Alt Table

Status	Error	Program
	43.5b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	14.3b	(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
	14.2b	(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)
	40.7b	(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	13.2b	(fma.f64 y 692910599291889/10000000000000000 x)
	38.5b	(*.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)))
	15.1b	(.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)))
	39.0b	(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
▶	14.1b	(.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)))
	14.1b	(+.f64 (*.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)
	14.7b	(+.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))

Compiler

Compiled 690 to 482 computations (30.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(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))

series93.0ms (1.1%)

Counts

3 → 72

Calls

3 calls:

44.0ms

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

41.0ms

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

8.0ms

(*.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)))

rewrite31.0ms (0.4%)

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:

12.0ms

(*.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)))

8.0ms

(*.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))

simplify223.0ms (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

prune730.0ms (8.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	357	9	366
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	358	19	377

Error

0.0b

Counts

377 → 19

Alt Table

Status	Error	Program
	14.3b	(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
	50.7b	(.f64 (cbrt.f64 (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	13.2b	(fma.f64 y 692910599291889/10000000000000000 x)
	39.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
	14.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (.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)))))
	39.0b	(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	14.1b	(+.f64 (*.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)
	39.4b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	43.5b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	14.2b	(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)
	40.7b	(exp.f64 (log.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))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
▶	14.1b	(.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))
	14.4b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (.f64 (cbrt.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)))
	38.5b	(*.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)))
	15.1b	(.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)))
	34.7b	(.f64 (cbrt.f64 (.f64 (fma.f64 y 692910599291889/10000000000000000 x) (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	39.3b	(.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	14.7b	(+.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))

Compiler

Compiled 11621 to 8312 computations (28.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64`
9×	`pow1/3_binary64`
8×	`pow-prod-up_binary64`
6×	`associate-l_binary64`
6×	`add-exp-log_binary64`

Counts

1 → 34

Calls

1 calls:

13.0ms

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

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def_binary64`
541×	`distribute-rgt-in_binary64`
537×	`distribute-lft-in_binary64`
527×	`unswap-sqr_binary64`
468×	`distribute-rgt-out_binary64`

Counts

58 → 51

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	49	416
1	75	416
2	155	416
3	392	380
4	1244	380
5	3741	380
6	4910	369
7	4972	369
8	5000	369
9	4836	369

prune482.0ms (5.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	17	17
Picked	0	1	1
Done	0	1	1
Total	368	19	387

Error

0.0b

Counts

387 → 19

Alt Table

Status	Error	Program
	14.3b	(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
	50.7b	(.f64 (cbrt.f64 (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
✓	13.2b	(fma.f64 y 692910599291889/10000000000000000 x)
	39.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
	14.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (.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)))))
	39.0b	(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	14.1b	(+.f64 (*.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)
	39.4b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	43.5b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	14.2b	(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)
	40.7b	(exp.f64 (log.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))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
✓	14.1b	(.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))
	14.4b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (.f64 (cbrt.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)))
	38.5b	(*.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)))
	15.1b	(.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)))
	34.7b	(.f64 (cbrt.f64 (.f64 (fma.f64 y 692910599291889/10000000000000000 x) (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	39.3b	(.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	14.7b	(+.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))

Compiler

Compiled 11131 to 7956 computations (28.5% saved)

regimes2.8s (33.8%)

Accuracy

Total 0.1b remaining (63.5%)

Threshold costs 0.1b (63.5%)

Counts

140 → 3

Compiler

Compiled 15693 to 11538 computations (26.5% saved)

bsearch16.0ms (0.2%)

Steps

Iters	Range		Point
1	1.2927185972102536e+57	6.436071945563266e+59	2.82420189144759e+58
1	-1.438793853938826e+25	-1.2879712238582492e+24	-4.295389360896411e+24

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	44
1	30	44
2	30	44

end557.0ms (6.7%)

Compiler: Compiled 570 to 407 computations (28.6% 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

analyze494.0ms (5.9%)

sample1.8s (21.9%)

simplify36.0ms (0.4%)

prune8.0ms (0.1%)

localize23.0ms (0.3%)

series179.0ms (2.1%)

rewrite10.0ms (0.1%)

simplify235.0ms (2.8%)

prune227.0ms (2.7%)

localize6.0ms (0.1%)

series9.0ms (0.1%)

rewrite2.0ms (0%)

simplify113.0ms (1.4%)

prune33.0ms (0.4%)

localize13.0ms (0.2%)

series93.0ms (1.1%)

rewrite31.0ms (0.4%)

simplify223.0ms (2.7%)

prune730.0ms (8.8%)

localize12.0ms (0.1%)

series9.0ms (0.1%)

rewrite16.0ms (0.2%)

simplify128.0ms (1.5%)

prune482.0ms (5.8%)

regimes2.8s (33.8%)

bsearch16.0ms (0.2%)

simplify8.0ms (0.1%)

end557.0ms (6.7%)

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