Details

analyze280.0ms (6.9%)

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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify127.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4600	28
1	4600	28

prune7.0ms (0.2%)

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)

localize19.0ms (0.5%)

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

rewrite227.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_2487`
20×	`*-un-lft-identity_binary64_2465`
18×	`add-cube-cbrt_binary64_2500`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `times-frac_binary64_2471`
9×	`associate-r_binary64_2405`
8×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `associate-l_binary64_2406` `cancel-sign-sub-inv_binary64_2431`
5×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
3×	`associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `sub-neg_binary64_2458` `difference-of-squares_binary64_2434`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `sum-log_binary64_2556` `+-commutative_binary64_2395` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417`

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))
13.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
10.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 2972 to 2376 computations (20.1% saved)

series232.0ms (5.7%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

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))
54.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
51.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
36.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 1230 to 1040 computations (15.4% saved)

simplify102.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5137	2766

prune213.0ms (5.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 3210 to 2547 computations (20.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992))
0.1b	(.f64 (sqrt.f64 6369080665019903/9007199254740992) (.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992)))
14.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite328.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_2487`
21×	`*-un-lft-identity_binary64_2465`
19×	`add-cube-cbrt_binary64_2500`
15×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-l_binary64_2406`
13×	`pow1_binary64_2526`
10×	`times-frac_binary64_2471` `associate-r_binary64_2405`
7×	`sqrt-prod_binary64_2481`
5×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `associate-l/_binary64_2408` `associate-r/_binary64_2407`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `*-commutative_binary64_2396` `unswap-sqr_binary64_2433`
2×	`associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `distribute-lft-out--_binary64_2417` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`

Counts

4 → 103

Calls

4 calls:

34.0ms	(.f64 (sqrt.f64 6369080665019903/9007199254740992) (.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992)))
25.0ms	(.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992))
12.0ms	(/.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)))

Compiler

Compiled 3826 to 3169 computations (17.2% saved)

series379.0ms (9.3%)

Error

Counts

4 → 39

Calls

4 calls:

111.0ms	(.f64 (sqrt.f64 6369080665019903/9007199254740992) (.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992)))
92.0ms	(.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992))
61.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
56.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

Compiler

Compiled 1753 to 1575 computations (10.2% saved)

simplify122.0ms (3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4891	3562
1	4891	3562

prune261.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

145 → 3

Compiler

Compiled 4009 to 3284 computations (18.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)

0.2b

(*.f64 x (-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))

0.2b

(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

rewrite88.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_2487`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`cancel-sign-sub-inv_binary64_2431`
7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`associate-l_binary64_2406` `associate-r_binary64_2405`
5×	`add-log-exp_binary64_2504`
4×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
3×	`sub-neg_binary64_2458`
2×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `-commutative_binary64_2396` `flip3--_binary64_2469` `associate-r/_binary64_2407` `flip--_binary64_2440`
1×	`diff-log_binary64_2557`

Counts

3 → 60

Calls

3 calls:

7.0ms

(*.f64 x (-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))

4.0ms

(-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)

4.0ms

(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

Compiler

Compiled 930 to 739 computations (20.5% saved)

series113.0ms (2.8%)

Error

Counts

3 → 15

Calls

3 calls:

44.0ms

(*.f64 x (-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))

34.0ms

(-.f64 (*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)

25.0ms

(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

Compiler

Compiled 337 to 292 computations (13.4% saved)

simplify108.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5139	682

prune65.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Error

Counts

78 → 3

Compiler

Compiled 921 to 711 computations (22.8% saved)

regimes171.0ms (4.2%)

Accuracy

Total 0.0b remaining (78.7%)

Threshold costs 0.0b (78.7%)

Compiler

Compiled 1423 to 1219 computations (14.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	78
1	38	78

end0.0ms (0%)

sample1.2s (29%)

Algorithm

1×

intervals

Results

450.0ms

8000×

body

128

valid

Compiler

Compiled 449 to 385 computations (14.3% saved)

Details

analyze280.0ms (6.9%)

sample18.0ms (0.5%)

simplify127.0ms (3.1%)

prune7.0ms (0.2%)

localize19.0ms (0.5%)

rewrite227.0ms (5.6%)

series232.0ms (5.7%)

simplify102.0ms (2.5%)

prune213.0ms (5.2%)

localize14.0ms (0.3%)

rewrite328.0ms (8.1%)

series379.0ms (9.3%)

simplify122.0ms (3%)

prune261.0ms (6.4%)

localize6.0ms (0.1%)

rewrite88.0ms (2.2%)

series113.0ms (2.8%)

simplify108.0ms (2.7%)

prune65.0ms (1.6%)

regimes171.0ms (4.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29%)

Profiling