Details

analyze4.0ms (0.2%)

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 18 to 15 computations (16.7% saved)

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify299.0ms (12.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (201.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25

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 34 to 28 computations (17.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
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)))
12.9b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_2146`
17×	`*-un-lft-identity_binary64_2124`
15×	`add-cube-cbrt_binary64_2159`
10×	`times-frac_binary64_2130`
8×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185`
4×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`difference-of-squares_binary64_2093` `associate-/r/_binary64_2070` `associate-*r/_binary64_2066` `associate-/l/_binary64_2071`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `clear-num_binary64_2123` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `*-commutative_binary64_2055` `diff-log_binary64_2216` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `div-inv_binary64_2121` `div-exp_binary64_2175` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 81

Calls

4 calls:

15.0ms	(-.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)))
3.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

series106.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
27.0ms	(-.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)))))
21.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

simplify133.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4821	2141
1	4821	2141

prune131.0ms (5.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	2	94

Error

Counts

94 → 2

Compiler

Compiled 2378 to 1860 computations (21.8% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

6.9b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))))
13.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
13.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
13.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_2156`
10×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
9×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `cbrt-prod_binary64_2155` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124`
8×	`associate-/r/_binary64_2070`
7×	`add-cbrt-cube_binary64_2160`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `frac-times_binary64_2134`
3×	`associate-/l*_binary64_2069` `pow1/3_binary64_2206` `times-frac_binary64_2130`
2×	`cbrt-undiv_binary64_2158` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `associate-/r*_binary64_2068` `prod-exp_binary64_2173` `div-inv_binary64_2121` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 70

Calls

4 calls:

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

series154.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))))
34.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
34.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
32.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

simplify134.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5142	2419

prune208.0ms (8.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Error

Counts

84 → 2

Compiler

Compiled 4006 to 3232 computations (19.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)

0.2b

(*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))

0.3b

(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_2146`
7×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
6×	`associate-l_binary64_2065` `associate-r_binary64_2064`
5×	`add-log-exp_binary64_2163`
2×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `prod-exp_binary64_2173` `associate-r/_binary64_2066` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`

Counts

3 → 51

Calls

3 calls:

7.0ms

(*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))

4.0ms

(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

4.0ms

(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)

series73.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

38.0ms

(*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))

21.0ms

(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)

13.0ms

(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

simplify104.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4889	585
1	4889	585

prune47.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Error

Counts

62 → 2

Compiler

Compiled 790 to 623 computations (21.1% saved)

regimes67.0ms (2.8%)

Accuracy

Total 0.0b remaining (81.3%)

Threshold costs 0.0b (81.3%)

Compiler

Compiled 804 to 670 computations (16.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	25
1	31	25

end0.0ms (0%)

sample778.0ms (32.6%)

Algorithm

1×

intervals

Results

322.0ms

8000×

body

128

valid

Compiler

Compiled 419 to 350 computations (16.5% saved)

Details

analyze4.0ms (0.2%)

sample21.0ms (0.9%)

simplify299.0ms (12.5%)

prune3.0ms (0.1%)

localize10.0ms (0.4%)

rewrite37.0ms (1.5%)

series106.0ms (4.5%)

simplify133.0ms (5.6%)

prune131.0ms (5.5%)

localize15.0ms (0.6%)

rewrite31.0ms (1.3%)

series154.0ms (6.5%)

simplify134.0ms (5.6%)

prune208.0ms (8.8%)

localize6.0ms (0.2%)

rewrite17.0ms (0.7%)

series73.0ms (3.1%)

simplify104.0ms (4.4%)

prune47.0ms (2%)

regimes67.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample778.0ms (32.6%)

Profiling