Details

analyze4.0ms

Algorithm

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

sample19.0ms

Algorithm

intervals

Results

13.0ms

256×

body

128

valid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25

prune2.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(-.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)))
14.2b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

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

series244.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
60.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
95.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
46.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4874	2132
1	4874	2132

prune111.0ms

Filtered

68 candidates to 90 candidates (-32.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	2	91

Merged error: 0b

Counts

91 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))) x)
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
14.2b	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac_binary64`
74×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`difference-of-squares_binary64` `div-exp_binary64`
4×	`cbrt-undiv_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `flip--_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

26.0ms	(-.f64 (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))) x)
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
10.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
7.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(-.f64 (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))) x)
78.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
41.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
45.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

simplify122.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4898	5476
1	4898	5476

prune206.0ms

Filtered

114 candidates to 165 candidates (-44.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	165	2	167

Merged error: 0b

Counts

167 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 x 609359547581365/2251799813685248) 3)
0.3b	(*.f64 x 371319058228565835421295263225/5070602400912917605986812821504)
0.3b	(.f64 x (-.f64 (.f64 x 371319058228565835421295263225/5070602400912917605986812821504) 98946577458584588455184669025/158456325028528675187087900672))
23.0b	(/.f64 (+.f64 (pow.f64 162377988252285/70368744177664 3) (pow.f64 (.f64 x 609359547581365/2251799813685248) 3)) (.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 26366611068859205468807721225/4951760157141521099596496896 (.f64 x (-.f64 (.f64 x 371319058228565835421295263225/5070602400912917605986812821504) 98946577458584588455184669025/158456325028528675187087900672)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`associate-/l*_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sum-cubes_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `associate-/r*_binary64` `flip3--_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `unpow-prod-down_binary64` `frac-2neg_binary64` `cube-prod_binary64` `div-inv_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 97

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 x 609359547581365/2251799813685248) 3)
4.0ms	(*.f64 x 371319058228565835421295263225/5070602400912917605986812821504)
7.0ms	(.f64 x (-.f64 (.f64 x 371319058228565835421295263225/5070602400912917605986812821504) 98946577458584588455184669025/158456325028528675187087900672))
20.0ms	(/.f64 (+.f64 (pow.f64 162377988252285/70368744177664 3) (pow.f64 (.f64 x 609359547581365/2251799813685248) 3)) (.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 26366611068859205468807721225/4951760157141521099596496896 (.f64 x (-.f64 (.f64 x 371319058228565835421295263225/5070602400912917605986812821504) 98946577458584588455184669025/158456325028528675187087900672)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow.f64 (*.f64 x 609359547581365/2251799813685248) 3)
24.0ms	(*.f64 x 371319058228565835421295263225/5070602400912917605986812821504)
86.0ms	(.f64 x (-.f64 (.f64 x 371319058228565835421295263225/5070602400912917605986812821504) 98946577458584588455184669025/158456325028528675187087900672))
67.0ms	(/.f64 (+.f64 (pow.f64 162377988252285/70368744177664 3) (pow.f64 (.f64 x 609359547581365/2251799813685248) 3)) (.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 26366611068859205468807721225/4951760157141521099596496896 (.f64 x (-.f64 (.f64 x 371319058228565835421295263225/5070602400912917605986812821504) 98946577458584588455184669025/158456325028528675187087900672)))))

simplify87.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4901	2260
1	4901	2260

prune156.0ms

Filtered

73 candidates to 109 candidates (-49.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

111 → 2

regimes9.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	28
1	32	28

end0.0ms

sample399.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

128

valid

Details

analyze4.0ms

sample19.0ms

simplify198.0ms

prune2.0ms

localize10.0ms

rewrite34.0ms

series244.0ms

simplify83.0ms

prune111.0ms

localize14.0ms

rewrite67.0ms

series221.0ms

simplify122.0ms

prune206.0ms

localize21.0ms

rewrite46.0ms

series229.0ms

simplify87.0ms

prune156.0ms

regimes9.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample399.0ms

Profiling