Details

analyze689.0ms (13.2%)

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)

sample109.0ms (2.1%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify28.0ms (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

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

17.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	17.2b	(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)
	20.2b	(+.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

▶

17.2b

(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)

20.2b

(+.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)

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)
✓	16.6b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series97.0ms (1.9%)

Counts

4 → 72

Calls

4 calls:

90.0ms	(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 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)

simplify129.0ms (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

prune150.0ms (2.9%)

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
	20.2b	(+.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)))
	47.6b	(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)))
	40.9b	(*.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)))
	18.0b	(.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)))
▶	17.2b	(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)
	17.4b	(+.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))
	24.0b	(+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))

Compiler

Compiled 3073 to 2129 computations (30.7% saved)

localize14.0ms (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)
	0.3b	(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))))
	16.6b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series93.0ms (1.8%)

Counts

2 → 48

Calls

2 calls:

90.0ms

(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)

3.0ms

(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

(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))))

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)

simplify109.0ms (2.1%)

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

prune149.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	133	9	142

Error

0.1b

Counts

142 → 9

Alt Table

Status	Error	Program
	47.6b	(cbrt.f64 (.f64 (.f64 (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) (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)) (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)))
	18.0b	(.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)))
	20.2b	(+.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)))
	47.6b	(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)))
	17.4b	(+.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))
▶	11.6b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	40.9b	(*.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	(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)
	24.0b	(+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))

Compiler

Compiled 3797 to 2696 computations (29% saved)

localize7.0ms (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))

series4.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(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 (1.8%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-rgt-in_binary64`
623×	`distribute-lft-out_binary64`
494×	`distribute-lft-in_binary64`
445×	`distribute-rgt-out_binary64`
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 (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	37	11	48

Error

0.0b

Counts

48 → 11

Alt Table

Status	Error	Program
	17.4b	(+.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))
✓	11.6b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	40.9b	(*.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)))
	18.0b	(.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)))
	37.8b	(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	20.2b	(+.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)))
▶	12.5b	(.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)))
	42.3b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	42.3b	(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)))
✓	17.2b	(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)
	24.0b	(+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))

Compiler

Compiled 860 to 624 computations (27.4% saved)

localize9.0ms (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))

series55.0ms (1.1%)

Counts

3 → 72

Calls

3 calls:

28.0ms

(*.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)))

23.0ms

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

4.0ms

(*.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)))

rewrite19.0ms (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:

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)))

4.0ms

(*.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))

simplify119.0ms (2.3%)

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

prune360.0ms (6.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	385	5	390
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	387	14	401

Error

0.0b

Counts

401 → 14

Alt Table

Status	Error	Program
	37.8b	(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	12.5b	(.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 692910599291889/10000000000000000 x)))
	37.1b	(.f64 (cbrt.f64 (.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x) (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
✓	17.2b	(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)
	17.4b	(+.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))
✓	11.6b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	40.9b	(*.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)))
	18.0b	(.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)))
	20.2b	(+.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)))
	12.6b	(.f64 (.f64 (cbrt.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 (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)))
	42.3b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	45.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000))) (cbrt.f64 (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)))
	54.3b	(.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 (exp.f64 (+.f64 (log.f64 692910599291889/10000000000000000) (log.f64 y)))))
	24.0b	(+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))

Compiler

Compiled 13311 to 10065 computations (24.4% saved)

regimes1.7s (33.4%)

Accuracy

Total 0.1b remaining (68.7%)

Threshold costs 0.1b (68.7%)

Counts

144 → 3

Compiler

Compiled 14778 to 11108 computations (24.8% saved)

bsearch26.0ms (0.5%)

Steps

Iters	Range		Point
8	9443.298547533972	17669841.225261226	1838427.6240658495
1	-9.15353824555364e+50	-6.603692691511978e+40	-7.819593773920023e+45

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	64
1	42	64
2	41	64

end1.0ms (0%)

Compiler: Compiled 48 to 33 computations (31.3% saved)

sample1.1s (21.9%)

Algorithm

1×

intervals

Results

592.0ms

8000×

body

128

valid

Compiler

Compiled 443 to 326 computations (26.4% 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

analyze689.0ms (13.2%)

sample109.0ms (2.1%)

simplify28.0ms (0.5%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series97.0ms (1.9%)

rewrite5.0ms (0.1%)

simplify129.0ms (2.5%)

prune150.0ms (2.9%)

localize14.0ms (0.3%)

series93.0ms (1.8%)

rewrite2.0ms (0%)

simplify109.0ms (2.1%)

prune149.0ms (2.9%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite1.0ms (0%)

simplify91.0ms (1.8%)

prune45.0ms (0.9%)

localize9.0ms (0.2%)

series55.0ms (1.1%)

rewrite19.0ms (0.4%)

simplify119.0ms (2.3%)

prune360.0ms (6.9%)

regimes1.7s (33.4%)

bsearch26.0ms (0.5%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.1s (21.9%)

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