Details

analyze286.0ms (6%)

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
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
49.9%	49.9%	0.1%	6
49.9%	49.9%	0.1%	7
49.9%	49.9%	0.1%	8
49.9%	49.9%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
87.4%	12.5%	0.1%	13
87.4%	12.5%	0.1%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample1.0s (22.1%)

Infinites

0% of outputs are infinite.

Results

924.0ms

8256×

body

128

valid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify26.0ms (0.6%)

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

17.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	17.6b	(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)

Status

Error

Program

20.4b

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

▶

17.6b

(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)

Compiler

Compiled 129 to 93 computations (27.9% saved)

localize12.0ms (0.3%)

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)
✓	17.0b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series109.0ms (2.3%)

Counts

4 → 72

Calls

4 calls:

101.0ms	(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	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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 692910599291889/10000000000000000 307332350656623/625000000000000)

rewrite6.0ms (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)

simplify135.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
357×	`associate-/l*_binary64`
357×	`times-frac_binary64`
331×	`fma-def_binary64`
198×	`associate-/l/_binary64`

Counts

131 → 117

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	173	3421
1	401	2901
2	1026	2870
3	2987	2573
4	4986	2571
5	5278	2571

prune130.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Error

0.1b

Counts

119 → 7

Alt Table

Status	Error	Program
▶	17.6b	(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)
	27.2b	(-.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (.f64 692910599291889/10000000000000000 y) x)) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))
	20.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	47.7b	(cbrt.f64 (pow.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) 3))
✓	17.6b	(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)
	41.9b	(*.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)))
	17.6b	(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)

Compiler

Compiled 2931 to 2037 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))))
	17.0b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series98.0ms (2.1%)

Counts

2 → 48

Calls

2 calls:

95.0ms

(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))))

rewrite3.0ms (0.1%)

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:

1.0ms

(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))))

simplify104.0ms (2.2%)

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

prune562.0ms (11.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	136	6	142

Error

0.1b

Counts

142 → 6

Alt Table

Status	Error	Program
	27.2b	(-.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (.f64 692910599291889/10000000000000000 y) x)) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))
	20.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	17.6b	(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)
	47.7b	(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)))
▶	13.8b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	41.9b	(*.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)))

Compiler

Compiled 3513 to 2500 computations (28.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(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))

simplify95.0ms (2%)

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

prune38.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	37	8	45

Error

0.1b

Counts

45 → 8

Alt Table

Status	Error	Program
	27.2b	(-.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (.f64 692910599291889/10000000000000000 y) x)) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))
	20.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	17.6b	(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)
	47.7b	(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)))
▶	14.6b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	40.0b	(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
✓	13.8b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	41.9b	(*.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)))

Compiler

Compiled 736 to 532 computations (27.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 692910599291889/10000000000000000 y x)
✓	0.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
✓	0.5b	(cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))

series59.0ms (1.2%)

Counts

4 → 96

Calls

4 calls:

27.0ms	(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
23.0ms	(cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))
4.0ms	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
3.0ms	(fma.f64 692910599291889/10000000000000000 y x)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64`
25×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
15×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

7.0ms	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
4.0ms	(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
1.0ms	(cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))
0.0ms	(fma.f64 692910599291889/10000000000000000 y x)

simplify128.0ms (2.7%)

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

199 → 218

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3752
1	702	3535
2	2172	3194
3	4969	3194
4	5071	3194

prune295.0ms (6.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	358	2	360
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	358	10	368

Error

0.0b

Counts

368 → 10

Alt Table

Status	Error	Program
✓	14.6b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	40.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x))))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	27.2b	(-.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (.f64 692910599291889/10000000000000000 y) x)) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))
	20.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	17.6b	(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)
	47.7b	(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)))
	40.0b	(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
✓	13.8b	(fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x)
	41.9b	(*.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)))
	14.7b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))) (cbrt.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))

Compiler

Compiled 10817 to 7751 computations (28.3% saved)

regimes1.3s (27.1%)

Accuracy

Total 0.1b remaining (56.3%)

Threshold costs 0.1b (56.3%)

Counts

117 → 3

Compiler

Compiled 10858 to 8078 computations (25.6% saved)

bsearch43.0ms (0.9%)

Steps

Iters	Range		Point
7	1.073628127456031e-31	3176190.69182742	1617375.7045492383
9	-22509862.87723973	-0.2475406031501766	-3652392.703526792

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	70
1	45	70
2	53	70
3	55	70
4	56	70
5	55	70

end212.0ms (4.5%)

Compiler: Compiled 376 to 268 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

analyze286.0ms (6%)

sample1.0s (22.1%)

simplify26.0ms (0.6%)

prune5.0ms (0.1%)

localize12.0ms (0.3%)

series109.0ms (2.3%)

rewrite6.0ms (0.1%)

simplify135.0ms (2.9%)

prune130.0ms (2.8%)

localize15.0ms (0.3%)

series98.0ms (2.1%)

rewrite3.0ms (0.1%)

simplify104.0ms (2.2%)

prune562.0ms (11.9%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite1.0ms (0%)

simplify95.0ms (2%)

prune38.0ms (0.8%)

localize7.0ms (0.2%)

series59.0ms (1.2%)

rewrite18.0ms (0.4%)

simplify128.0ms (2.7%)

prune295.0ms (6.2%)

regimes1.3s (27.1%)

bsearch43.0ms (0.9%)

simplify6.0ms (0.1%)

end212.0ms (4.5%)

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