Details

analyze807.0ms (12.3%)

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 (18.6%)

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

16.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	21.4b	(+.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)))
▶	16.4b	(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

21.4b

(+.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)))

▶

16.4b

(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)

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)
✓	15.9b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series94.0ms (1.4%)

Counts

4 → 72

Calls

4 calls:

86.0ms	(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)

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)

simplify137.0ms (2.1%)

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

prune142.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	112	7	119

Error

0.1b

Counts

119 → 7

Alt Table

Status	Error	Program
	16.4b	(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)
	41.0b	(*.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)))
▶	11.8b	(fma.f64 692910599291889/10000000000000000 y x)
	21.4b	(+.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)))
	17.2b	(.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)))
	16.9b	(+.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))
	16.5b	(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 3013 to 2091 computations (30.6% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(fma.f64 692910599291889/10000000000000000 y x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 692910599291889/10000000000000000 y x)

simplify87.0ms (1.3%)

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

34 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	193
1	19	182
2	42	182
3	103	182
4	282	182
5	916	182
6	1568	182
7	2166	182
8	2356	182
9	2900	182
10	3204	182
11	3902	182
12	5196	182

prune21.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	11	10	21

Error

0.1b

Counts

21 → 10

Alt Table

Status	Error	Program
	16.4b	(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)
	41.0b	(*.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)))
✓	11.8b	(fma.f64 692910599291889/10000000000000000 y x)
	21.4b	(+.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)))
	17.2b	(.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)))
	16.9b	(+.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))
	39.4b	(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
▶	12.6b	(.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)))
	43.8b	(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
	16.5b	(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 621 to 437 computations (29.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 692910599291889/10000000000000000 y x)
✓	0.3b	(.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)))
✓	0.6b	(cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))

series43.0ms (0.7%)

Counts

3 → 72

Calls

3 calls:

21.0ms

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

18.0ms

(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)))

rewrite16.0ms (0.2%)

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:

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))

simplify118.0ms (1.8%)

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	270	3559
1	702	3353
2	2172	3016
3	4969	3016
4	5071	3016

prune332.0ms (5.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	372	6	378
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	376	12	388

Error

0.0b

Counts

388 → 12

Alt Table

Status	Error	Program
✓	11.8b	(fma.f64 692910599291889/10000000000000000 y x)
	13.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))))) (cbrt.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)))
	16.4b	(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)
	41.0b	(*.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)))
▶	12.6b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (.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)))))
	17.2b	(.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)))
	13.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))))
	12.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (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)))))
	21.4b	(+.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)))
	39.7b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 3)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	13.3b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 6) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	16.5b	(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 11620 to 8309 computations (28.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (.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)))
✓	0.6b	(cbrt.f64 (.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))))
	0.6b	(cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))

series22.0ms (0.3%)

Counts

2 → 48

Calls

2 calls:

18.0ms

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

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64`
7×	`pow1_binary64`
5×	`pow-prod-down_binary64`
4×	`associate-r_binary64`
4×	`add-sqr-sqrt_binary64`

Counts

2 → 35

Calls

2 calls:

6.0ms

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

6.0ms

(cbrt.f64 (*.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))))

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

515×	`times-frac_binary64`
506×	`associate-l_binary64`
350×	`fma-def_binary64`
336×	`associate-/l*_binary64`
270×	`associate-/r*_binary64`

Counts

83 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1619
1	427	1545
2	1279	1432
3	4889	1431
4	5045	1431

prune742.0ms (11.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	603	1	604
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	604	12	616

Error

0.0b

Counts

616 → 12

Alt Table

Status	Error	Program
✓	11.8b	(fma.f64 692910599291889/10000000000000000 y x)
	13.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))))) (cbrt.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)))
	16.4b	(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)
	41.0b	(*.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)))
✓	12.6b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (.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)))))
	17.2b	(.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)))
	36.8b	(.f64 (cbrt.f64 (.f64 (fma.f64 692910599291889/10000000000000000 y x) (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (.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)))))
	12.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (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)))))
	21.4b	(+.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)))
	39.7b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 3)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
	13.3b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 6) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
	16.5b	(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 26495 to 18853 computations (28.8% saved)

regimes2.3s (35.4%)

Accuracy

Total 0.1b remaining (54.9%)

Threshold costs 0.1b (54.9%)

Counts

196 → 3

Compiler

Compiled 23193 to 16858 computations (27.3% saved)

bsearch20.0ms (0.3%)

Steps

Iters	Range		Point
2	240.70136994288995	449083032486.83606	2088895762.117249
2	-12814265136501.234	-137317585354.5743	-4050971209818.576

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	82
1	30	82
2	30	82

end263.0ms (4%)

Compiler: Compiled 498 to 354 computations (28.9% 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

analyze807.0ms (12.3%)

sample1.2s (18.6%)

simplify25.0ms (0.4%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series94.0ms (1.4%)

rewrite5.0ms (0.1%)

simplify137.0ms (2.1%)

prune142.0ms (2.2%)

localize3.0ms (0%)

series3.0ms (0%)

rewrite1.0ms (0%)

simplify87.0ms (1.3%)

prune21.0ms (0.3%)

localize7.0ms (0.1%)

series43.0ms (0.7%)

rewrite16.0ms (0.2%)

simplify118.0ms (1.8%)

prune332.0ms (5.1%)

localize8.0ms (0.1%)

series22.0ms (0.3%)

rewrite14.0ms (0.2%)

simplify82.0ms (1.2%)

prune742.0ms (11.3%)

regimes2.3s (35.4%)

bsearch20.0ms (0.3%)

simplify3.0ms (0%)

end263.0ms (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