Details

analyze194.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4600	28
1	4600	28
0	1	1
1	1	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)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify103.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 38 to 32 computations (15.8% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
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)))
14.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite52.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_3169`
23×	`*-un-lft-identity_binary64_3147`
19×	`add-cube-cbrt_binary64_3182`
11×	`times-frac_binary64_3153`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`cancel-sign-sub-inv_binary64_3113` `associate-r_binary64_3087`
8×	`pow1_binary64_3208`
6×	`add-log-exp_binary64_3186` `associate-l_binary64_3088`
5×	`distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`
4×	`difference-of-squares_binary64_3116` `associate-*r/_binary64_3089`
3×	`flip-+_binary64_3121` `associate-/r_binary64_3091` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `associate-/l_binary64_3092`
2×	`*-commutative_binary64_3078` `flip--_binary64_3122` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `flip3--_binary64_3151` `associate-/l/_binary64_3094` `distribute-lft-out--_binary64_3099` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

4 → 101

Calls

4 calls:

19.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
11.0ms	(-.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)))

series114.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
29.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
28.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
21.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify87.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4863	3009
1	4863	3009

prune179.0ms (7.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	3	114

Error

Counts

114 → 3

Compiler

Compiled 3183 to 2533 computations (20.4% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3)
14.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.6b	(cbrt.f64 (pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3))

rewrite38.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_3169`
16×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`times-frac_binary64_3153` `pow1_binary64_3208`
8×	`cbrt-prod_binary64_3178`
6×	`associate-*r/_binary64_3089`
4×	`add-log-exp_binary64_3186` `cube-div_binary64_3176`
3×	`flip-+_binary64_3121` `associate-r_binary64_3087` `associate-/r_binary64_3091` `flip3-+_binary64_3150` `pow-unpow_binary64_3224` `associate-/l_binary64_3092` `associate-l_binary64_3088`
2×	`unpow-prod-down_binary64_3226` `cbrt-div_binary64_3179` `pow-exp_binary64_3215` `flip--_binary64_3122` `pow-prod-down_binary64_3218` `flip3--_binary64_3151` `rem-cube-cbrt_binary64_3170` `cube-prod_binary64_3175` `associate-/l/_binary64_3094` `sqr-pow_binary64_3119` `prod-exp_binary64_3196` `cube-mult_binary64_3177` `cbrt-unprod_binary64_3180` `associate-/r/_binary64_3093` `pow-pow_binary64_3219` `unpow3_binary64_3213`
1×	`rem-cbrt-cube_binary64_3171` `*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `clear-num_binary64_3146` `pow1/3_binary64_3229` `frac-2neg_binary64_3158` `pow-to-exp_binary64_3216` `distribute-lft-in_binary64_3096` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `distribute-rgt-in_binary64_3097` `div-inv_binary64_3144`

Counts

4 → 96

Calls

4 calls:

13.0ms	(pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3)
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)))
2.0ms	(cbrt.f64 (pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3))

series125.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3))
34.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
33.0ms	(pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3)
22.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify69.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5022	3093

prune181.0ms (7.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Error

Counts

111 → 3

Compiler

Compiled 3362 to 2743 computations (18.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)
0.0b	(+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)))
0.1b	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)
0.1b	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_3169`
15×	`cancel-sign-sub-inv_binary64_3113`
13×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `distribute-lft-in_binary64_3096` `associate-+r+_binary64_3079` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`
6×	`associate-r_binary64_3087` `associate-l_binary64_3088`
5×	`sub-neg_binary64_3140`
2×	`-commutative_binary64_3078` `flip--_binary64_3122` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `flip3--_binary64_3151` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-r/_binary64_3089`
1×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `+-commutative_binary64_3077` `diff-log_binary64_3239` `sum-log_binary64_3238`

Counts

4 → 79

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
6.0ms	(+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)))
4.0ms	(-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)
4.0ms	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

series77.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
21.0ms	(-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)
11.0ms	(+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)))
10.0ms	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

simplify94.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4977	994
1	4977	994

prune72.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1219 to 962 computations (21.1% saved)

regimes134.0ms (5.6%)

Accuracy

Total 0.0b remaining (92.1%)

Threshold costs 0.0b (92.1%)

Compiler

Compiled 1381 to 1168 computations (15.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	31
1	29	31

end0.0ms (0%)

sample802.0ms (33.4%)

Algorithm

1×

intervals

Results

344.0ms

8000×

body

128

valid

Compiler

Compiled 377 to 321 computations (14.9% saved)

Details

analyze194.0ms (8.1%)

sample16.0ms (0.7%)

simplify103.0ms (4.3%)

prune3.0ms (0.1%)

localize12.0ms (0.5%)

rewrite52.0ms (2.2%)

series114.0ms (4.8%)

simplify87.0ms (3.6%)

prune179.0ms (7.5%)

localize14.0ms (0.6%)

rewrite38.0ms (1.6%)

series125.0ms (5.2%)

simplify69.0ms (2.9%)

prune181.0ms (7.5%)

localize6.0ms (0.2%)

rewrite25.0ms (1.1%)

series77.0ms (3.2%)

simplify94.0ms (3.9%)

prune72.0ms (3%)

regimes134.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample802.0ms (33.4%)

Profiling