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)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify206.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	489	25
1	489	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)

localize11.0ms (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 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
17.1b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite37.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_2794`
16×	`*-un-lft-identity_binary64_2773`
14×	`add-cube-cbrt_binary64_2805`
10×	`times-frac_binary64_2779`
8×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806` `add-log-exp_binary64_2809`
6×	`pow1_binary64_2831`
4×	`flip3-+_binary64_2776` `flip-+_binary64_2747`
3×	`associate-l_binary64_2716` `associate-/r_binary64_2719` `associate-r_binary64_2715` `associate-/l_binary64_2720`
2×	`associate-/r/_binary64_2721` `associate-/l/_binary64_2722` `difference-of-squares_binary64_2742` `associate-*r/_binary64_2717`
1×	`cbrt-unprod_binary64_2803` `cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `distribute-rgt-in_binary64_2725` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `diff-log_binary64_2862` `sub-neg_binary64_2766` `div-inv_binary64_2770` `flip3--_binary64_2777` `div-exp_binary64_2821` `flip--_binary64_2748` `sum-log_binary64_2861` `*-commutative_binary64_2706` `distribute-lft-in_binary64_2724` `distribute-lft-out--_binary64_2727` `clear-num_binary64_2772` `prod-exp_binary64_2819` `+-commutative_binary64_2705`

Counts

4 → 78

Calls

4 calls:

13.0ms	(-.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 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series228.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(.f64 x (+.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)
44.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
40.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

simplify92.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5128	2132

prune132.0ms (6.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

91 → 2

Compiler

Compiled 2294 to 1796 computations (21.7% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
0.0b	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.9b	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite29.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_2773`
19×	`add-sqr-sqrt_binary64_2794`
17×	`add-cube-cbrt_binary64_2805`
15×	`times-frac_binary64_2779`
11×	`pow1_binary64_2831`
8×	`add-exp-log_binary64_2808` `distribute-lft-out_binary64_2726` `add-cbrt-cube_binary64_2806`
7×	`add-log-exp_binary64_2809` `log-pow_binary64_2859`
5×	`associate-/r*_binary64_2719` `log-prod_binary64_2856`
4×	`exp-sum_binary64_2816`
3×	`distribute-rgt-in_binary64_2725` `flip3-+_binary64_2776` `associate-l_binary64_2716` `associate-r_binary64_2715` `distribute-lft-in_binary64_2724` `associate-/l*_binary64_2720` `flip-+_binary64_2747`
2×	`exp-prod_binary64_2822` `associate-/r/_binary64_2721` `associate-/l/_binary64_2722` `exp-to-pow_binary64_2832` `associate-*r/_binary64_2717`
1×	`cbrt-unprod_binary64_2803` `rem-log-exp_binary64_2811` `cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `div-inv_binary64_2770` `div-exp_binary64_2821` `*-commutative_binary64_2706` `clear-num_binary64_2772` `prod-exp_binary64_2819` `rem-exp-log_binary64_2810`

Counts

4 → 89

Calls

4 calls:

9.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))
3.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

series654.0ms (30.4%)

Counts

4 → 12

Calls

4 calls:

354.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
205.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
76.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
18.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))

simplify68.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4918	2053
1	4918	2053

prune132.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

Compiler

Compiled 2530 to 1993 computations (21.2% saved)

regimes20.0ms (0.9%)

Compiler: Compiled 108 to 90 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	25
1	31	25

end0.0ms (0%)

sample503.0ms (23.4%)

Algorithm

1×

intervals

Results

320.0ms

8000×

body

128

valid

Compiler

Compiled 71 to 60 computations (15.5% saved)

Details

analyze4.0ms (0.2%)

sample15.0ms (0.7%)

simplify206.0ms (9.6%)

prune3.0ms (0.1%)

localize11.0ms (0.5%)

rewrite37.0ms (1.7%)

series228.0ms (10.6%)

simplify92.0ms (4.3%)

prune132.0ms (6.1%)

localize13.0ms (0.6%)

rewrite29.0ms (1.4%)

series654.0ms (30.4%)

simplify68.0ms (3.2%)

prune132.0ms (6.2%)

regimes20.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample503.0ms (23.4%)

Profiling