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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify286.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	1225	28
1	1225	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)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
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))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
14.6b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite43.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_3197`
20×	`*-un-lft-identity_binary64_3175`
18×	`add-cube-cbrt_binary64_3210`
10×	`add-cbrt-cube_binary64_3211` `times-frac_binary64_3181` `add-exp-log_binary64_3213`
9×	`associate-r_binary64_3115`
8×	`pow1_binary64_3236`
6×	`associate-l_binary64_3116` `cancel-sign-sub-inv_binary64_3141` `add-log-exp_binary64_3214`
5×	`distribute-lft-in_binary64_3124` `distribute-rgt-in_binary64_3125`
4×	`associate-*r/_binary64_3117` `flip-+_binary64_3149` `flip3-+_binary64_3178`
3×	`associate-/l_binary64_3120` `associate-/r_binary64_3119`
2×	`prod-exp_binary64_3224` `*-commutative_binary64_3106` `pow-prod-down_binary64_3246` `cbrt-unprod_binary64_3208` `sub-neg_binary64_3168` `difference-of-squares_binary64_3144` `unswap-sqr_binary64_3143` `associate-/l/_binary64_3122` `associate-/r/_binary64_3121`
1×	`flip--_binary64_3150` `flip3--_binary64_3179` `clear-num_binary64_3174` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `+-commutative_binary64_3105` `cbrt-undiv_binary64_3209` `distribute-lft-out--_binary64_3127` `div-exp_binary64_3226` `sum-log_binary64_3266`

Counts

4 → 95

Calls

4 calls:

16.0ms	(.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)))
4.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series214.0ms (6%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
56.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
39.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
37.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify98.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4910	2543
1	4910	2543

prune258.0ms (7.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	4	108

Merged error: 0b

Counts

108 → 4

Compiler

Compiled 4781 to 3890 computations (18.6% saved)

localize13.0ms (0.4%)

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)))
0.2b	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
14.6b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite41.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_3197`
22×	`*-un-lft-identity_binary64_3175` `add-cube-cbrt_binary64_3210`
19×	`times-frac_binary64_3181`
18×	`associate-l_binary64_3116`
13×	`add-cbrt-cube_binary64_3211` `add-exp-log_binary64_3213`
8×	`pow1_binary64_3236`
6×	`add-log-exp_binary64_3214` `associate-r_binary64_3115`
5×	`flip-+_binary64_3149` `flip3-+_binary64_3178`
4×	`associate-/r/_binary64_3121`
3×	`prod-exp_binary64_3224` `associate-/l_binary64_3120` `cbrt-unprod_binary64_3208` `associate-/r_binary64_3119` `unswap-sqr_binary64_3143`
2×	`associate-r/_binary64_3117` `-commutative_binary64_3106` `pow-prod-down_binary64_3246` `div-inv_binary64_3172` `cbrt-undiv_binary64_3209` `associate-/l/_binary64_3122` `div-exp_binary64_3226`
1×	`clear-num_binary64_3174` `frac-2neg_binary64_3186` `distribute-lft-in_binary64_3124` `+-commutative_binary64_3105` `associate-*l/_binary64_3118` `distribute-rgt-in_binary64_3125` `sum-log_binary64_3266`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.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)))))
7.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series191.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
41.0ms	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
41.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
38.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify80.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	2543
1	4967	2543

prune226.0ms (6.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Merged error: 0b

Counts

114 → 3

Compiler

Compiled 4041 to 3317 computations (17.9% saved)

localize14.0ms (0.4%)

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)))
0.2b	(/.f64 6369080665019903/9007199254740992 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
14.3b	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 6369080665019903/9007199254740992 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_3197`
22×	`*-un-lft-identity_binary64_3175` `add-cube-cbrt_binary64_3210`
19×	`times-frac_binary64_3181`
18×	`associate-r_binary64_3115`
13×	`add-cbrt-cube_binary64_3211` `add-exp-log_binary64_3213`
8×	`pow1_binary64_3236`
6×	`flip-+_binary64_3149` `flip3-+_binary64_3178` `associate-l_binary64_3116` `add-log-exp_binary64_3214`
4×	`associate-/r/_binary64_3121`
3×	`associate-r/_binary64_3117` `prod-exp_binary64_3224` `associate-/l_binary64_3120` `cbrt-unprod_binary64_3208` `associate-/r*_binary64_3119` `unswap-sqr_binary64_3143`
2×	`frac-times_binary64_3185` `-commutative_binary64_3106` `pow-prod-down_binary64_3246` `div-inv_binary64_3172` `cbrt-undiv_binary64_3209` `associate-l/_binary64_3118` `div-exp_binary64_3226`
1×	`clear-num_binary64_3174` `frac-2neg_binary64_3186` `distribute-lft-in_binary64_3124` `+-commutative_binary64_3105` `distribute-rgt-in_binary64_3125` `sum-log_binary64_3266`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 6369080665019903/9007199254740992 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
5.0ms	(/.f64 6369080665019903/9007199254740992 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series195.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
41.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
40.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 6369080665019903/9007199254740992 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
28.0ms	(/.f64 6369080665019903/9007199254740992 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5276	2427

prune176.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	112	3	115

Merged error: 0b

Counts

115 → 3

Compiler

Compiled 3366 to 2759 computations (18% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
1.4b	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_3175`
19×	`add-sqr-sqrt_binary64_3197`
17×	`add-cube-cbrt_binary64_3210`
15×	`times-frac_binary64_3181`
11×	`pow1_binary64_3236`
8×	`distribute-lft-out_binary64_3126` `add-cbrt-cube_binary64_3211` `add-exp-log_binary64_3213`
7×	`log-pow_binary64_3264` `add-log-exp_binary64_3214`
5×	`log-prod_binary64_3261` `associate-/r*_binary64_3119`
4×	`flip-+_binary64_3149` `flip3-+_binary64_3178`
3×	`associate-/l_binary64_3120` `associate-l_binary64_3116` `associate-r*_binary64_3115`
2×	`associate-*r/_binary64_3117` `exp-sum_binary64_3221` `distribute-lft-in_binary64_3124` `associate-/l/_binary64_3122` `distribute-rgt-in_binary64_3125` `associate-/r/_binary64_3121`
1×	`exp-prod_binary64_3227` `prod-exp_binary64_3224` `*-commutative_binary64_3106` `pow-prod-down_binary64_3246` `clear-num_binary64_3174` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `cbrt-unprod_binary64_3208` `+-commutative_binary64_3105` `cbrt-undiv_binary64_3209` `unswap-sqr_binary64_3143` `rem-log-exp_binary64_3216` `exp-to-pow_binary64_3237` `div-exp_binary64_3226` `sum-log_binary64_3266`

Counts

4 → 88

Calls

4 calls:

9.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
9.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.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)))))

series658.0ms (18.5%)

Counts

4 → 12

Calls

4 calls:

346.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
199.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
74.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
39.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

simplify84.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4862	2017
1	4862	2017

prune146.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Merged error: 0b

Counts

103 → 3

Compiler

Compiled 2719 to 2202 computations (19% saved)

regimes17.0ms (0.5%)

Compiler: Compiled 121 to 100 computations (17.4% 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%)

sample604.0ms (17%)

Algorithm

1×

intervals

Results

362.0ms

8000×

body

128

valid

Compiler

Compiled 160 to 134 computations (16.3% saved)

Details

analyze5.0ms (0.1%)

sample17.0ms (0.5%)

simplify286.0ms (8%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite43.0ms (1.2%)

series214.0ms (6%)

simplify98.0ms (2.8%)

prune258.0ms (7.2%)

localize13.0ms (0.4%)

rewrite41.0ms (1.2%)

series191.0ms (5.4%)

simplify80.0ms (2.3%)

prune226.0ms (6.3%)

localize14.0ms (0.4%)

rewrite36.0ms (1%)

series195.0ms (5.5%)

simplify94.0ms (2.6%)

prune176.0ms (4.9%)

localize14.0ms (0.4%)

rewrite31.0ms (0.9%)

series658.0ms (18.5%)

simplify84.0ms (2.4%)

prune146.0ms (4.1%)

regimes17.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample604.0ms (17%)

Profiling