Details

analyze792.0ms (14.1%)

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)

sample1.3s (23.5%)

Results

1.2s

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

15.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	19.9b	(+.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)))
▶	15.1b	(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)

Status

Error

Program

19.9b

(+.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)))

▶

15.1b

(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)

Compiler

Compiled 129 to 93 computations (27.9% saved)

localize13.0ms (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))

series122.0ms (2.2%)

Counts

4 → 72

Calls

4 calls:

114.0ms	(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))
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)
0.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
0.0ms	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)

simplify139.0ms (2.5%)

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

prune151.0ms (2.7%)

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
▶	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)
	26.9b	(fma.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) x)
	44.8b	(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)))
	19.9b	(+.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)))
	39.2b	(*.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)))
	19.9b	(+.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)))

Compiler

Compiled 2999 to 2085 computations (30.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(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)
	0.2b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	0.5b	(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))))
	14.6b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series103.0ms (1.8%)

Counts

2 → 48

Calls

2 calls:

98.0ms

(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)

4.0ms

(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))))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 21

Calls

2 calls:

0.0ms

(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)

0.0ms

(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))))

simplify105.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-neg_binary64`
610×	`cancel-sign-sub-inv_binary64`
568×	`associate-l_binary64`
290×	`fma-def_binary64`
193×	`associate-/l*_binary64`

Counts

69 → 72

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	2358
1	302	1953
2	758	1922
3	2058	1625
4	4659	1623
5	5116	1623

prune164.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	134	7	141

Error

0.1b

Counts

141 → 7

Alt Table

Status	Error	Program
▶	12.0b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	44.8b	(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)))
	19.9b	(+.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)))
	26.2b	(+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))
	39.2b	(*.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)))
✓	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)
	19.9b	(+.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)))

Compiler

Compiled 3597 to 2562 computations (28.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
✓	1.0b	(expm1.f64 (log1p.f64 692910599291889/10000000000000000))

series6.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

6.0ms	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
0.0ms	(expm1.f64 (log1p.f64 692910599291889/10000000000000000))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 21

Calls

2 calls:

0.0ms	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
0.0ms	(expm1.f64 (log1p.f64 692910599291889/10000000000000000))

simplify91.0ms (1.6%)

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`
412×	`*-commutative_binary64`

Counts

45 → 39

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	228
1	34	217
2	56	217
3	116	217
4	293	217
5	927	217
6	1576	217
7	2174	217
8	2364	217
9	2908	217
10	3212	217
11	3910	217
12	5203	217

prune45.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	35	11	46

Error

0.1b

Counts

46 → 11

Alt Table

Status	Error	Program
✓	12.0b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	44.8b	(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)))
	43.4b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x) (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
	26.2b	(+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))
	43.4b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	19.9b	(+.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)))
▶	12.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
	39.2b	(*.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)))
✓	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)
	37.5b	(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	19.9b	(+.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)))

Compiler

Compiled 900 to 658 computations (26.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
✓	0.6b	(cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))
	1.0b	(expm1.f64 (log1p.f64 692910599291889/10000000000000000))

series58.0ms (1%)

Counts

3 → 72

Calls

3 calls:

29.0ms

(*.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))

24.0ms

(cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))

5.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))

rewrite20.0ms (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 (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))

6.0ms

(*.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))

1.0ms

(cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))

simplify134.0ms (2.4%)

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 → 210

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3559
1	705	3353
2	2174	3016
3	4971	3016
4	5072	3016

prune400.0ms (7.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	385	5	390
Fresh	2	6	8
Picked	1	0	1
Done	0	2	2
Total	388	13	401

Error

0.0b

Counts

401 → 13

Alt Table

Status	Error	Program
✓	12.0b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	44.8b	(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)))
	19.9b	(+.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)))
	12.7b	(.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
	12.7b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 692910599291889/10000000000000000))) (cbrt.f64 (expm1.f64 (log1p.f64 692910599291889/10000000000000000)))) (cbrt.f64 (expm1.f64 (log1p.f64 692910599291889/10000000000000000)))) x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
	26.2b	(+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))
	43.4b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	37.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
	19.9b	(+.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)))
	12.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (fma.f64 y (-.f64 (exp.f64 (log1p.f64 692910599291889/10000000000000000)) 1) x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
	39.2b	(*.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)))
✓	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)
	37.8b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 3)) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))

Compiler

Compiled 13322 to 10077 computations (24.4% saved)

regimes1.6s (28.2%)

Accuracy

Total 0.1b remaining (70.3%)

Threshold costs 0.1b (70.3%)

Counts

148 → 3

Compiler

Compiled 16833 to 12803 computations (23.9% saved)

bsearch24.0ms (0.4%)

Steps

Iters	Range		Point
4	61.19018097036453	91.46249826352548	90.42868150343809
2	-6126992404425.732	-16441181859.466162	-71041047684.58499

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	71
1	42	71
2	42	71

end261.0ms (4.7%)

Compiler: Compiled 484 to 355 computations (26.7% 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

analyze792.0ms (14.1%)

sample1.3s (23.5%)

simplify26.0ms (0.5%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

series122.0ms (2.2%)

rewrite7.0ms (0.1%)

simplify139.0ms (2.5%)

prune151.0ms (2.7%)

localize15.0ms (0.3%)

series103.0ms (1.8%)

rewrite2.0ms (0%)

simplify105.0ms (1.9%)

prune164.0ms (2.9%)

localize6.0ms (0.1%)

series6.0ms (0.1%)

rewrite1.0ms (0%)

simplify91.0ms (1.6%)

prune45.0ms (0.8%)

localize10.0ms (0.2%)

series58.0ms (1%)

rewrite20.0ms (0.3%)

simplify134.0ms (2.4%)

prune400.0ms (7.1%)

regimes1.6s (28.2%)

bsearch24.0ms (0.4%)

simplify3.0ms (0.1%)

end261.0ms (4.7%)

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