Details

analyze783.0ms (16.5%)

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 (25.3%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify24.0ms (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

prune10.0ms (0.2%)

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

16.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.4b	(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)
	21.4b	(+.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

▶

16.4b

(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)

21.4b

(+.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)

localize11.0ms (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)
✓	0.3b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	15.9b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series105.0ms (2.2%)

Counts

4 → 72

Calls

4 calls:

98.0ms	(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 692910599291889/10000000000000000 307332350656623/625000000000000)
0.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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)

simplify136.0ms (2.9%)

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

prune124.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Error

0.1b

Counts

119 → 6

Alt Table

Status	Error	Program
	21.4b	(+.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)))
	16.8b	(+.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))
▶	11.5b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	38.2b	(*.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)))
	17.2b	(.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)))
	16.4b	(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 2941 to 2039 computations (30.7% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	0.5b	(*.f64 692910599291889/10000000000000000 y)

series5.0ms (0.1%)

Counts

2 → 6

Calls

2 calls:

3.0ms	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
1.0ms	(*.f64 692910599291889/10000000000000000 y)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 34

Calls

2 calls:

3.0ms	(*.f64 692910599291889/10000000000000000 y)
3.0ms	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

685×	`fma-neg_binary64`
682×	`unswap-sqr_binary64`
564×	`fma-def_binary64`
474×	`distribute-rgt-out_binary64`
395×	`distribute-rgt-in_binary64`

Counts

40 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	288
1	136	273
2	288	273
3	649	271
4	1546	271
5	2951	271
6	4146	271
7	4953	271

prune45.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	42	10	52

Error

0.0b

Counts

52 → 10

Alt Table

Status	Error	Program
	21.4b	(+.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)))
	16.8b	(+.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))
	42.8b	(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (fma.f64 x -692910599291889/10000000000000000 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (.f64 x x)))
	42.8b	(/.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (-.f64 (.f64 x x) (.f64 (*.f64 692910599291889/10000000000000000 y) x))))
✓	11.5b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	11.6b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) x)
	35.5b	(+.f64 (.f64 (sqrt.f64 (.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	17.2b	(.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)))
▶	11.6b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	16.4b	(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 936 to 656 computations (29.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series122.0ms (2.6%)

Counts

3 → 36

Calls

3 calls:

61.0ms

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

39.0ms

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

22.0ms

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

9.0ms

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

6.0ms

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

1.0ms

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

simplify100.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-def_binary64`
489×	`*-commutative_binary64`
469×	`associate-r_binary64`
415×	`sqr-pow_binary64`
368×	`unswap-sqr_binary64`

Counts

115 → 105

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	1128
1	150	1049
2	421	986
3	1175	925
4	2302	831
5	3355	831
6	4450	831
7	4850	831

prune243.0ms (5.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	198	12	210

Error

0.0b

Counts

210 → 12

Alt Table

Status	Error	Program
	42.8b	(/.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (-.f64 (.f64 x x) (.f64 (*.f64 692910599291889/10000000000000000 y) x))))
▶	11.6b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000)) (.f64 y (cbrt.f64 692910599291889/10000000000000000))))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	11.6b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) x)
	11.8b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))) x)
	21.4b	(+.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)))
	16.8b	(+.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))
✓	11.5b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	35.5b	(+.f64 (.f64 (sqrt.f64 (.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	17.2b	(.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)))
✓	11.6b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	11.7b	(+.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))))) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))) x)
	16.4b	(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 4452 to 3411 computations (23.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
✓	0.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000)) (*.f64 y (cbrt.f64 692910599291889/10000000000000000))))
✓	1.0b	(cbrt.f64 692910599291889/10000000000000000)
✓	1.0b	(*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000))

series42.0ms (0.9%)

Counts

3 → 12

Calls

3 calls:

41.0ms

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

0.0ms

(*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000))

0.0ms

(cbrt.f64 692910599291889/10000000000000000)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod_binary64`
20×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 66

Calls

3 calls:

5.0ms

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

4.0ms

(*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000))

1.0ms

(cbrt.f64 692910599291889/10000000000000000)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def_binary64`
524×	`unswap-sqr_binary64`
358×	`*-commutative_binary64`
295×	`associate-*r/_binary64`
276×	`sqr-pow_binary64`

Counts

78 → 87

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	863
1	113	721
2	280	717
3	669	703
4	956	621
5	1425	621
6	3117	621
7	4776	621
8	5359	621

prune241.0ms (5.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	151	12	163

Error

0.0b

Counts

163 → 12

Alt Table

Status	Error	Program
	42.8b	(/.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (-.f64 (.f64 x x) (.f64 (*.f64 692910599291889/10000000000000000 y) x))))
✓	11.6b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000)) (.f64 y (cbrt.f64 692910599291889/10000000000000000))))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	11.6b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) x)
	11.8b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))) x)
	21.4b	(+.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)))
	16.8b	(+.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))
✓	11.5b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	35.5b	(+.f64 (.f64 (sqrt.f64 (.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	17.2b	(.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)))
✓	11.6b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	11.7b	(+.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))))) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))) x)
	16.4b	(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 4362 to 3655 computations (16.2% saved)

regimes1.1s (22.7%)

Accuracy

Total 0.1b remaining (62.8%)

Threshold costs 0.1b (62.8%)

Counts

109 → 3

Compiler

Compiled 11288 to 8723 computations (22.7% saved)

bsearch9.0ms (0.2%)

Steps

Iters	Range		Point
1	7.716422229962344e+36	9.51265044594939e+40	8.65438930762488e+38
1	-4.807669128458106e+102	-6.8188606732701605e+100	-5.66020081618019e+101

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	47
1	28	47
2	28	47

end217.0ms (4.6%)

Compiler: Compiled 381 to 280 computations (26.5% 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

analyze783.0ms (16.5%)

sample1.2s (25.3%)

simplify24.0ms (0.5%)

prune10.0ms (0.2%)

localize11.0ms (0.2%)

series105.0ms (2.2%)

rewrite5.0ms (0.1%)

simplify136.0ms (2.9%)

prune124.0ms (2.6%)

localize3.0ms (0.1%)

series5.0ms (0.1%)

rewrite7.0ms (0.1%)

simplify79.0ms (1.7%)

prune45.0ms (1%)

localize7.0ms (0.1%)

series122.0ms (2.6%)

rewrite20.0ms (0.4%)

simplify100.0ms (2.1%)

prune243.0ms (5.1%)

localize12.0ms (0.3%)

series42.0ms (0.9%)

rewrite12.0ms (0.3%)

simplify98.0ms (2.1%)

prune241.0ms (5.1%)

regimes1.1s (22.7%)

bsearch9.0ms (0.2%)

simplify4.0ms (0.1%)

end217.0ms (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