Details

analyze884.0ms (15.5%)

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 (21.6%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
94×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`
66×	`associate-l_binary64`
65×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	39	25
2	71	23
3	134	23
4	247	23
5	389	23
6	567	23
7	670	23
8	831	23
9	914	23
10	974	23
11	975	23
12	972	23

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

16.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.6b	(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)
	20.1b	(+.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

▶

16.6b

(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)

20.1b

(+.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)
✓	0.2b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	16.1b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series111.0ms (2%)

Counts

4 → 72

Calls

4 calls:

100.0ms	(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)
7.0ms	(/.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)
2.0ms	(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 692910599291889/10000000000000000 307332350656623/625000000000000)
0.0ms	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

simplify152.0ms (2.7%)

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

prune150.0ms (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
	20.5b	(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (fma.f64 692910599291889/10000000000000000 y x))
	20.1b	(+.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)))
▶	16.6b	(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)
	17.1b	(+.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))
	20.1b	(+.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)))
	26.0b	(fma.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) x)

Compiler

Compiled 2889 to 2009 computations (30.5% saved)

localize14.0ms (0.2%)

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))))
	16.1b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series98.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

94.0ms

(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

(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)

simplify105.0ms (1.8%)

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

prune139.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	135	6	141

Error

0.1b

Counts

141 → 6

Alt Table

Status	Error	Program
	20.5b	(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (fma.f64 692910599291889/10000000000000000 y x))
	20.1b	(+.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)))
	30.6b	(fma.f64 y (expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))))) x)
✓	16.6b	(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)
▶	17.1b	(+.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))
	20.1b	(+.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 3485 to 2486 computations (28.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
	0.2b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	3.2b	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	20.6b	(.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

series181.0ms (3.2%)

Counts

3 → 84

Calls

3 calls:

67.0ms

(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

64.0ms

(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

50.0ms

(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
17×	`add-cbrt-cube_binary64`

Counts

3 → 78

Calls

3 calls:

5.0ms

(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

2.0ms

(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

0.0ms

(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

simplify122.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
458×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
334×	`fma-neg_binary64`
302×	`cancel-sign-sub-inv_binary64`

Counts

162 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	3666
1	609	3052
2	1905	2998
3	4930	2988
4	5078	2988

prune297.0ms (5.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	234	6	240

Error

0.1b

Counts

240 → 6

Alt Table

Status	Error	Program
	20.5b	(+.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
✓	16.6b	(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)
▶	17.1b	(+.f64 (.f64 (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) (.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))
	30.6b	(fma.f64 y (expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))))) x)
	17.2b	(+.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 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) x))
	20.1b	(+.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 8353 to 5594 computations (33% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
✓	2.9b	(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)
	3.2b	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	20.6b	(.f64 (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

series123.0ms (2.2%)

Counts

3 → 72

Calls

3 calls:

59.0ms

(*.f64 (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

49.0ms

(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))

14.0ms

(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
88×	`add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
61×	`add-exp-log_binary64`

Counts

3 → 189

Calls

3 calls:

11.0ms

(*.f64 (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

4.0ms

(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))

2.0ms

(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)

simplify178.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

497×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
467×	`fma-def_binary64`
256×	`fma-neg_binary64`
251×	`associate-r_binary64`

Counts

261 → 316

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	6219
1	620	5248
2	2156	5156
3	4951	5147
4	5014	5147

prune504.0ms (8.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	368	6	374

Error

0.1b

Counts

374 → 6

Alt Table

Status	Error	Program
	20.5b	(+.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
✓	16.6b	(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)
✓	17.1b	(+.f64 (.f64 (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) (.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))
	30.6b	(fma.f64 y (expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))))) x)
	17.2b	(+.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 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) x))
	20.1b	(+.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 14565 to 10078 computations (30.8% saved)

regimes1.1s (19.2%)

Accuracy

Total 0.1b remaining (56.5%)

Threshold costs 0.1b (56.5%)

Counts

131 → 3

Compiler

Compiled 17703 to 12628 computations (28.7% saved)

bsearch41.0ms (0.7%)

Steps

Iters	Range		Point
5	6476.116640651404	1227893300.541993	187827912.74167347
8	-2.1781117504806193e+136	-2.5283728217161388e+132	-2.5646723226590353e+132

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	74
1	38	74
2	38	74

end136.0ms (2.4%)

Compiler: Compiled 268 to 191 computations (28.7% 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

analyze884.0ms (15.5%)

sample1.2s (21.6%)

simplify25.0ms (0.4%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series111.0ms (2%)

rewrite5.0ms (0.1%)

simplify152.0ms (2.7%)

prune150.0ms (2.6%)

localize14.0ms (0.2%)

series98.0ms (1.7%)

rewrite2.0ms (0%)

simplify105.0ms (1.8%)

prune139.0ms (2.4%)

localize12.0ms (0.2%)

series181.0ms (3.2%)

rewrite13.0ms (0.2%)

simplify122.0ms (2.2%)

prune297.0ms (5.2%)

localize17.0ms (0.3%)

series123.0ms (2.2%)

rewrite36.0ms (0.6%)

simplify178.0ms (3.1%)

prune504.0ms (8.9%)

regimes1.1s (19.2%)

bsearch41.0ms (0.7%)

simplify3.0ms (0.1%)

end136.0ms (2.4%)

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