Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 20 to 17 computations (15% saved)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify194.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4600	28
1	4600	28

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 38 to 32 computations (15.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
15.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_3510`
20×	`*-un-lft-identity_binary64_3488`
18×	`add-cube-cbrt_binary64_3523`
10×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `times-frac_binary64_3494`
9×	`associate-r_binary64_3428`
8×	`pow1_binary64_3549`
6×	`cancel-sign-sub-inv_binary64_3454` `associate-l_binary64_3429` `add-log-exp_binary64_3527`
5×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438`
4×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-*r/_binary64_3430`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433`
2×	`difference-of-squares_binary64_3457` `unswap-sqr_binary64_3456` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419` `prod-exp_binary64_3537` `sub-neg_binary64_3481`
1×	`clear-num_binary64_3487` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `+-commutative_binary64_3418` `frac-2neg_binary64_3499` `flip--_binary64_3463` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

4 → 95

Calls

4 calls:

18.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series123.0ms (3.2%)

Counts

4 → 22

Calls

4 calls:

36.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
34.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
28.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
25.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

Compiler

Compiled 495 to 430 computations (13.1% saved)

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5132	2520

prune169.0ms (4.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	3	118

Merged error: 0b

Counts

118 → 3

Compiler

Compiled 3047 to 2442 computations (19.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
15.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_3510`
22×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
19×	`times-frac_binary64_3494`
18×	`associate-l_binary64_3429`
13×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
8×	`pow1_binary64_3549`
6×	`associate-r_binary64_3428` `add-log-exp_binary64_3527`
5×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
4×	`associate-/r/_binary64_3434`
3×	`associate-/r_binary64_3432` `unswap-sqr_binary64_3456` `associate-/l_binary64_3433` `cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
2×	`associate-/l/_binary64_3435` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `-commutative_binary64_3419` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`
1×	`distribute-lft-in_binary64_3437` `associate-*l/_binary64_3431` `clear-num_binary64_3487` `distribute-rgt-in_binary64_3438` `+-commutative_binary64_3418` `frac-2neg_binary64_3499` `sum-log_binary64_3579`

Counts

4 → 98

Calls

4 calls:

11.0ms	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series120.0ms (3.1%)

Counts

4 → 22

Calls

4 calls:

37.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
29.0ms	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
28.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
25.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

Compiler

Compiled 582 to 508 computations (12.7% saved)

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4889	2514
1	4889	2514

prune188.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Merged error: 0b

Counts

123 → 3

Compiler

Compiled 3424 to 2807 computations (18% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))) x))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.9b	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_3510`
13×	`*-un-lft-identity_binary64_3488`
11×	`add-cube-cbrt_binary64_3523`
9×	`associate-r_binary64_3428` `pow1_binary64_3549`
8×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
7×	`add-log-exp_binary64_3527`
6×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `cancel-sign-sub-inv_binary64_3454` `associate-l_binary64_3429`
5×	`log-prod_binary64_3574`
4×	`associate-*r/_binary64_3430`
3×	`log-pow_binary64_3577`
2×	`exp-sum_binary64_3534` `difference-of-squares_binary64_3457` `unswap-sqr_binary64_3456` `flip-+_binary64_3462` `flip3-+_binary64_3491` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419` `prod-exp_binary64_3537` `sub-neg_binary64_3481`
1×	`rem-log-exp_binary64_3529` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `exp-to-pow_binary64_3550` `exp-prod_binary64_3540` `times-frac_binary64_3494` `+-commutative_binary64_3418` `flip--_binary64_3463` `sum-log_binary64_3579`

Counts

4 → 80

Calls

4 calls:

18.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))) x))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
2.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

series735.0ms (19.2%)

Counts

4 → 21

Calls

4 calls:

551.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))) x))
124.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
32.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
27.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

Compiler

Compiled 759 to 669 computations (11.9% saved)

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4883	1804
1	4883	1804

prune148.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

Compiler

Compiled 2609 to 2098 computations (19.6% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 6369080665019903/9007199254740992 (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)))
0.6b	(.f64 (.f64 6369080665019903/9007199254740992 (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))) (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)))
15.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
15.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite81.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_3510`
29×	`*-un-lft-identity_binary64_3488`
25×	`add-cube-cbrt_binary64_3523`
20×	`times-frac_binary64_3494`
18×	`associate-r_binary64_3428`
15×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
14×	`sqrt-div_binary64_3505`
13×	`sqrt-prod_binary64_3504`
11×	`pow1_binary64_3549`
10×	`associate-*r/_binary64_3430`
7×	`flip3--_binary64_3492` `flip--_binary64_3463`
6×	`associate-/r_binary64_3432` `associate-/l_binary64_3433`
4×	`difference-of-squares_binary64_3457` `associate-/l/_binary64_3435` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `associate-l_binary64_3429` `cbrt-unprod_binary64_3521` `frac-times_binary64_3498` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `prod-exp_binary64_3537`
2×	`associate-l/_binary64_3431` `clear-num_binary64_3487` `distribute-lft-out--_binary64_3440` `unswap-sqr_binary64_3456` `frac-2neg_binary64_3499` `-commutative_binary64_3419` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

4 → 121

Calls

4 calls:

31.0ms	(.f64 (.f64 6369080665019903/9007199254740992 (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))) (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)))
15.0ms	(.f64 6369080665019903/9007199254740992 (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)))
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

series149.0ms (3.9%)

Counts

4 → 21

Calls

4 calls:

50.0ms	(.f64 6369080665019903/9007199254740992 (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)))
38.0ms	(.f64 (.f64 6369080665019903/9007199254740992 (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))) (sqrt.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)))
31.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
29.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 863 to 731 computations (15.3% saved)

simplify115.0ms (3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5365	4886

prune420.0ms (11%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

Compiler

Compiled 6741 to 5401 computations (19.9% saved)

regimes126.0ms (3.3%)

Compiler: Compiled 1293 to 1098 computations (15.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	31
1	29	31

end0.0ms (0%)

sample787.0ms (20.6%)

Algorithm

1×

intervals

Results

373.0ms

8000×

body

128

valid

Compiler

Compiled 341 to 292 computations (14.4% saved)

Details

analyze5.0ms (0.1%)

sample22.0ms (0.6%)

simplify194.0ms (5.1%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

rewrite45.0ms (1.2%)

series123.0ms (3.2%)

simplify92.0ms (2.4%)

prune169.0ms (4.4%)

localize13.0ms (0.3%)

rewrite39.0ms (1%)

series120.0ms (3.1%)

simplify94.0ms (2.4%)

prune188.0ms (4.9%)

localize13.0ms (0.3%)

rewrite39.0ms (1%)

series735.0ms (19.2%)

simplify82.0ms (2.2%)

prune148.0ms (3.9%)

localize15.0ms (0.4%)

rewrite81.0ms (2.1%)

series149.0ms (3.9%)

simplify115.0ms (3%)

prune420.0ms (11%)

regimes126.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample787.0ms (20.6%)

Profiling