Details

analyze71.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 66 to 53 computations (19.7% saved)

sample87.0ms (0.1%)

Algorithm

1×

intervals

Results

79.0ms

256×

body

128

valid

Compiler

Compiled 132 to 106 computations (19.7% saved)

simplify59.0ms (0%)

Algorithm

1×	egg-herbie

Rules

660×	`fma-neg_binary64`
578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
389×	`fma-def_binary64`
380×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	270	69
3	825	69
4	2840	69
5	4839	69
6	5074	69

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

14.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.3b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))

Status

Error

Program

▶

14.3b

(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (*.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))

Compiler

Compiled 141 to 108 computations (23.4% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))
0.2b	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))
0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))
14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))

rewrite551.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

14.2b

Rules

53×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`

Counts

4 → 179

Calls

4 calls:

20.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))
19.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
18.0ms	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))
14.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))

Compiler

Compiled 14889 to 10688 computations (28.2% saved)

series1.7s (1.1%)

Error

14.2b

Counts

4 → 15

Calls

4 calls:

1.3s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
64.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))
57.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))
40.0ms	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))

Compiler

Compiled 11125 to 8543 computations (23.2% saved)

simplify474.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

538×	`times-frac_binary64`
283×	`+-commutative_binary64`
257×	`fma-def_binary64`
249×	`associate-+r+_binary64`
224×	`*-commutative_binary64`

Counts

194 → 77

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1021	17733
1	3126	16310
2	4938	16310
3	4910	16310

prune255.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	6	78

Error

14.2b

Counts

78 → 6

Alt Table

Status	Error	Program
	14.3b	(-.f64 1 (/.f64 (.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
	15.4b	(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))) 6)) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))))
	14.3b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (-.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 4780145094533421/4503599627370496 (pow.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) 2))) (/.f64 6544414927309881/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
▶	14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
	14.3b	(.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))) (-.f64 1 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))))
	14.3b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (+.f64 1 (.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))

Compiler

Compiled 9555 to 6887 computations (27.9% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))
0.5b	(cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3))
0.8b	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))

rewrite1.1s (0.7%)

Algorithm

1×	rewrite-expression-head

Error

14.2b

Rules

37×	`add-cube-cbrt_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-log-exp_binary64`
14×	`flip3-+_binary64`
13×	`pow1_binary64`

Counts

4 → 174

Calls

4 calls:

19.0ms	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
17.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
13.0ms	(cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3))
13.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))

Compiler

Compiled 14980 to 11025 computations (26.4% saved)

series1.6s (1%)

Error

14.2b

Counts

4 → 15

Calls

4 calls:

1.3s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
74.0ms	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
60.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))
44.0ms	(cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3))

Compiler

Compiled 11167 to 8585 computations (23.1% saved)

simplify399.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64`
467×	`times-frac_binary64`
282×	`+-commutative_binary64`
257×	`fma-def_binary64`
249×	`associate-+r+_binary64`

Counts

189 → 117

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1006	17935
1	3036	16277
2	5491	16277

prune337.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	118	5	123

Error

14.2b

Counts

123 → 5

Alt Table

Status	Error	Program
	14.3b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (-.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 4780145094533421/4503599627370496 (pow.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) 2))) (/.f64 6544414927309881/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
	15.4b	(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))) 6)) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))))
▶	14.2b	(.f64 (-.f64 (pow.f64 1 3) (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (/.f64 1 (+.f64 1 (.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))))))
	14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))) 6))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
	14.3b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (+.f64 1 (.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))

Compiler

Compiled 11827 to 8563 computations (27.6% saved)

localize41.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))
0.8b	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
0.8b	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
13.6b	(-.f64 (pow.f64 1 3) (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))

rewrite1.4s (0.9%)

Algorithm

1×	rewrite-expression-head

Error

13.3b

Rules

35×	`add-cube-cbrt_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`pow1_binary64`
18×	`unpow-prod-down_binary64`
17×	`add-exp-log_binary64`

Counts

4 → 200

Calls

4 calls:

24.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))
18.0ms	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
17.0ms	(-.f64 (pow.f64 1 3) (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))
17.0ms	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)

Compiler

Compiled 34330 to 24836 computations (27.7% saved)

series1.2min (49.8%)

Error

14.2b

Counts

4 → 21

Calls

4 calls:

1.1min	(-.f64 (pow.f64 1 3) (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))
5.5s	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))
407.0ms	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
74.0ms	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)

Compiler

Compiled 103944 to 78721 computations (24.3% saved)

simplify1.8s (1.2%)

Algorithm

1×	egg-herbie

Counts

221 → 49

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7451	103184

prune364.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	47	7	54

Error

13.4b

Counts

54 → 7

Alt Table

Status	Error	Program
	14.3b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (-.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 4780145094533421/4503599627370496 (pow.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) 2))) (/.f64 6544414927309881/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
▶	13.5b	(.f64 (.f64 (+.f64 1 (sqrt.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))) (-.f64 1 (sqrt.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))) (/.f64 1 (+.f64 1 (.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))))))
	14.2b	(.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3) (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))) (+.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))) (/.f64 1 (+.f64 1 (.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))))))
	14.2b	(.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3) 3)) (+.f64 1 (+.f64 (.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3) (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))))) (/.f64 1 (+.f64 1 (.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))))))
	13.5b	(.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))) (/.f64 1 (+.f64 1 (.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))))))
	15.4b	(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))) 6)) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))))
	14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1)))) 6))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))

Compiler

Compiled 15779 to 11436 computations (27.5% saved)

localize46.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
0.8b	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
0.8b	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
13.7b	(-.f64 1 (sqrt.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))

rewrite1.1s (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.3b

Rules

37×	`add-cube-cbrt_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
14×	`unpow3_binary64`
13×	`pow-to-exp_binary64`

Counts

4 → 196

Calls

4 calls:

16.0ms	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
16.0ms	(pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)
15.0ms	(-.f64 1 (sqrt.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))
14.0ms	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) 3)) (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1))) (.f64 (fma.f64 1475339155889891/4503599627370496 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)

Compiler

Compiled 37308 to 27216 computations (27.1% saved)

series1.1min (42.7%)

Compiler: Compiled 29590 to 24611 computations (16.8% saved)

Details

analyze71.0ms (0%)

sample87.0ms (0.1%)

simplify59.0ms (0%)

prune4.0ms (0%)

localize18.0ms (0%)

rewrite551.0ms (0.4%)

series1.7s (1.1%)

simplify474.0ms (0.3%)

prune255.0ms (0.2%)

localize23.0ms (0%)

rewrite1.1s (0.7%)

series1.6s (1%)

simplify399.0ms (0.3%)

prune337.0ms (0.2%)

localize41.0ms (0%)

rewrite1.4s (0.9%)

series1.2min (49.8%)

simplify1.8s (1.2%)

prune364.0ms (0.2%)

localize46.0ms (0%)

rewrite1.1s (0.7%)

series1.1min (42.7%)

Profiling