Details

analyze5.0ms (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)

sample23.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify299.0ms (13.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
15.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
9×	`times-frac_binary64_2471`
8×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
3×	`associate-/r_binary64_2409` `associate-r_binary64_2405` `associate-/l_binary64_2410` `associate-l_binary64_2406`
2×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `associate-/l/_binary64_2412` `associate-*r/_binary64_2407` `associate-/r/_binary64_2411`
1×	`distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `div-exp_binary64_2516` `div-inv_binary64_2462` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

4 → 75

Calls

4 calls:

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

series102.0ms (4.6%)

Counts

4 → 20

Calls

4 calls:

34.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
28.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
25.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
15.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 487 to 408 computations (16.2% saved)

simplify82.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4871	1659
1	4871	1659

prune124.0ms (5.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0b

Counts

96 → 2

Compiler

Compiled 2195 to 1725 computations (21.4% saved)

localize12.0ms (0.5%)

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)))
0.4b	(/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
15.1b	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))

rewrite39.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_2487`
23×	`*-un-lft-identity_binary64_2465`
22×	`add-cube-cbrt_binary64_2500`
20×	`times-frac_binary64_2471`
19×	`add-exp-log_binary64_2503`
18×	`associate-r_binary64_2405`
13×	`add-cbrt-cube_binary64_2501`
9×	`pow1_binary64_2526`
6×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `flip-+_binary64_2439` `associate-l_binary64_2406`
5×	`prod-exp_binary64_2514`
4×	`unswap-sqr_binary64_2433` `div-exp_binary64_2516` `associate-/r/_binary64_2411`
3×	`associate-/r_binary64_2409` `associate-r/_binary64_2407` `associate-/l*_binary64_2410` `cbrt-unprod_binary64_2498`
2×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `pow-prod-down_binary64_2536` `1-exp_binary64_2509`
1×	`distribute-lft-in_binary64_2414` `+-commutative_binary64_2395` `sum-log_binary64_2556` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `clear-num_binary64_2464` `un-div-inv_binary64_2463` `distribute-rgt-in_binary64_2415` `frac-2neg_binary64_2476`

Counts

4 → 108

Calls

4 calls:

12.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
8.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
5.0ms	(/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series120.0ms (5.4%)

Counts

4 → 23

Calls

4 calls:

37.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
30.0ms	(/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
28.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
25.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

Compiler

Compiled 584 to 497 computations (14.9% saved)

simplify91.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4968	2427
1	4968	2427

prune173.0ms (7.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Merged error: 0b

Counts

133 → 2

Compiler

Compiled 3242 to 2588 computations (20.2% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(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)))
3.9b	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
7×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `pow1_binary64_2526`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`log-prod_binary64_2551`
4×	`exp-sum_binary64_2511`
3×	`distribute-lft-in_binary64_2414` `log-pow_binary64_2554` `distribute-rgt-in_binary64_2415` `associate-r_binary64_2405` `associate-l_binary64_2406`
2×	`flip3-+_binary64_2468` `exp-to-pow_binary64_2527` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `exp-prod_binary64_2517`
1×	`*-commutative_binary64_2396` `+-commutative_binary64_2395` `sum-log_binary64_2556` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `rem-exp-log_binary64_2505` `pow-prod-down_binary64_2536` `rem-log-exp_binary64_2506` `cbrt-unprod_binary64_2498`

Counts

4 → 61

Calls

4 calls:

6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
2.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))
2.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

series223.0ms (10%)

Counts

4 → 20

Calls

4 calls:

136.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
37.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
26.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
23.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))

Compiler

Compiled 617 to 531 computations (13.9% saved)

simplify67.0ms (3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5042	917

prune96.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

Compiler

Compiled 1788 to 1398 computations (21.8% saved)

regimes45.0ms (2%)

Compiler: Compiled 388 to 326 computations (16% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	28
1	33	28

end0.0ms (0%)

sample651.0ms (29.2%)

Algorithm

1×

intervals

Results

336.0ms

8000×

body

128

valid

Compiler

Compiled 213 to 180 computations (15.5% saved)

Details

analyze5.0ms (0.2%)

sample23.0ms (1%)

simplify299.0ms (13.4%)

prune3.0ms (0.1%)

localize10.0ms (0.5%)

rewrite29.0ms (1.3%)

series102.0ms (4.6%)

simplify82.0ms (3.7%)

prune124.0ms (5.5%)

localize12.0ms (0.5%)

rewrite39.0ms (1.7%)

series120.0ms (5.4%)

simplify91.0ms (4.1%)

prune173.0ms (7.8%)

localize13.0ms (0.6%)

rewrite19.0ms (0.9%)

series223.0ms (10%)

simplify67.0ms (3%)

prune96.0ms (4.3%)

regimes45.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample651.0ms (29.2%)

Profiling