Details

analyze1.1s (21.5%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample53.0ms (1%)

Algorithm

1×

intervals

Results

36.0ms

256×

body

128

valid

Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify51.0ms (1%)

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

prune4.0ms (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

15.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	18.7b	(+.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)))
▶	15.2b	(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)

Status

Error

Program

18.7b

(+.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)))

▶

15.2b

(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)

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)
✓	0.1b	(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)
✓	0.2b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	14.7b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series168.0ms (3.2%)

Counts

4 → 72

Calls

4 calls:

160.0ms	(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))
3.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
2.0ms	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)

rewrite7.0ms (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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
0.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
0.0ms	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)

simplify198.0ms (3.7%)

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

prune200.0ms (3.8%)

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
	16.1b	(.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)))
▶	11.9b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	22.5b	(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
	18.7b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
	15.2b	(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)
	18.7b	(+.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)))
	38.6b	(*.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)))

Compiler

Compiled 3007 to 2093 computations (30.4% saved)

localize7.0ms (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)

series9.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
3.0ms	(*.f64 692910599291889/10000000000000000 y)

rewrite15.0ms (0.3%)

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:

5.0ms	(*.f64 692910599291889/10000000000000000 y)
5.0ms	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

simplify93.0ms (1.8%)

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

prune63.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	44	9	53

Error

0.0b

Counts

53 → 9

Alt Table

Status	Error	Program
	45.6b	(/.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)))
	18.7b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
	15.2b	(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)
	38.2b	(/.f64 (-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
	12.1b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) x)
	38.6b	(*.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)))
	22.5b	(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
▶	12.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	18.7b	(+.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 904 to 636 computations (29.6% saved)

localize8.0ms (0.2%)

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))

series209.0ms (4%)

Counts

3 → 36

Calls

3 calls:

90.0ms

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

74.0ms

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

44.0ms

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

rewrite31.0ms (0.6%)

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:

12.0ms

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

7.0ms

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

3.0ms

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

simplify156.0ms (2.9%)

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

prune343.0ms (6.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	198	11	209

Error

0.0b

Counts

209 → 11

Alt Table

Status	Error	Program
✓	12.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	12.2b	(+.f64 (.f64 (.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	15.2b	(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)
	38.2b	(/.f64 (-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
	12.1b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) x)
	38.6b	(*.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)))
	22.5b	(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
▶	12.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	18.7b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
	18.7b	(+.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)))
	37.2b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (sqrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))) x)

Compiler

Compiled 4382 to 3355 computations (23.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 692910599291889/10000000000000000 y)
	0.6b	(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
✓	0.7b	(cbrt.f64 y)
✓	1.0b	(cbrt.f64 692910599291889/10000000000000000)

series33.0ms (0.6%)

Counts

2 → 12

Calls

2 calls:

33.0ms	(cbrt.f64 y)
0.0ms	(cbrt.f64 692910599291889/10000000000000000)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`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 → 26

Calls

2 calls:

1.0ms	(cbrt.f64 692910599291889/10000000000000000)
1.0ms	(cbrt.f64 y)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-/l/_binary64`
374×	`log-prod_binary64`
316×	`distribute-rgt-neg-in_binary64`
314×	`distribute-lft-neg-in_binary64`
287×	`*-commutative_binary64`

Counts

38 → 32

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	218
1	53	214
2	101	214
3	223	214
4	641	210
5	1919	210
6	2580	210
7	3567	210
8	4874	210

prune136.0ms (2.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	106	11	117

Error

0.0b

Counts

117 → 11

Alt Table

Status	Error	Program
✓	12.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	12.2b	(+.f64 (.f64 (.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 692910599291889/10000000000000000)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	15.2b	(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)
	38.2b	(/.f64 (-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
	12.1b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) x)
	38.6b	(*.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)))
	22.5b	(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
✓	12.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) x)
	18.7b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
	18.7b	(+.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)))
	37.2b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y))) (sqrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))) x)

Compiler

Compiled 2510 to 1833 computations (27% saved)

regimes837.0ms (15.9%)

Accuracy

Total 0.1b remaining (63.1%)

Threshold costs 0.1b (63.1%)

Counts

79 → 3

Compiler

Compiled 6993 to 5273 computations (24.6% saved)

bsearch35.0ms (0.7%)

Steps

Iters	Range		Point
9	1.2783022453092605	54038701.48788836	53208616.726440884
1	-1.296938800399603e+43	-2.5479702380742866e+41	-1.8297748454794667e+42

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	55
1	44	55
2	41	55

end1.0ms (0%)

Compiler: Compiled 42 to 29 computations (31% saved)

sample1.4s (26.3%)

Algorithm

1×

intervals

Results

765.0ms

8000×

body

128

valid

Compiler

Compiled 338 to 250 computations (26% 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

analyze1.1s (21.5%)

sample53.0ms (1%)

simplify51.0ms (1%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

series168.0ms (3.2%)

rewrite7.0ms (0.1%)

simplify198.0ms (3.7%)

prune200.0ms (3.8%)

localize7.0ms (0.1%)

series9.0ms (0.2%)

rewrite15.0ms (0.3%)

simplify93.0ms (1.8%)

prune63.0ms (1.2%)

localize8.0ms (0.2%)

series209.0ms (4%)

rewrite31.0ms (0.6%)

simplify156.0ms (2.9%)

prune343.0ms (6.5%)

localize11.0ms (0.2%)

series33.0ms (0.6%)

rewrite2.0ms (0%)

simplify66.0ms (1.2%)

prune136.0ms (2.6%)

regimes837.0ms (15.9%)

bsearch35.0ms (0.7%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.4s (26.3%)

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