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 20 to 17 computations (15% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify272.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	1225	28
1	1225	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 38 to 32 computations (15.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
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)))
17.1b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_4142`
18×	`*-un-lft-identity_binary64_4121`
16×	`add-cube-cbrt_binary64_4153`
10×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `times-frac_binary64_4127`
9×	`associate-r_binary64_4063`
8×	`pow1_binary64_4179`
6×	`associate-l_binary64_4064` `add-log-exp_binary64_4157`
4×	`flip-+_binary64_4095` `flip3-+_binary64_4124` `associate-*r/_binary64_4065`
3×	`associate-/r_binary64_4067` `associate-/l_binary64_4068`
2×	`cbrt-unprod_binary64_4151` `associate-/r/_binary64_4069` `associate-/l/_binary64_4070` `prod-exp_binary64_4167` `difference-of-squares_binary64_4090` `sub-neg_binary64_4114` `distribute-lft-in_binary64_4072` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow-prod-down_binary64_4189` `distribute-rgt-in_binary64_4073`
1×	`div-exp_binary64_4169` `div-inv_binary64_4118` `+-commutative_binary64_4053` `cbrt-undiv_binary64_4152` `sum-log_binary64_4209` `flip--_binary64_4096` `frac-2neg_binary64_4132` `distribute-lft-out--_binary64_4075` `flip3--_binary64_4125` `clear-num_binary64_4120`

Counts

4 → 89

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))
8.0ms	(/.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))

series222.0ms (8%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
59.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
43.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
40.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify101.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4959	2363
1	4959	2363

prune158.0ms (5.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	2	102

Merged error: 0b

Counts

102 → 2

Compiler

Compiled 2822 to 2258 computations (20% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (.f64 x -6369080665019903/9007199254740992))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.2b	(*.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)
17.1b	(/.f64 (+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_4142`
16×	`add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
10×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
9×	`times-frac_binary64_4127`
8×	`pow1_binary64_4179`
6×	`associate-l_binary64_4064` `associate-r_binary64_4063` `add-log-exp_binary64_4157`
4×	`flip-+_binary64_4095` `flip3-+_binary64_4124`
3×	`associate-/r_binary64_4067` `associate-/l_binary64_4068`
2×	`cbrt-unprod_binary64_4151` `associate-/r/_binary64_4069` `associate-/l/_binary64_4070` `prod-exp_binary64_4167` `-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow-prod-down_binary64_4189` `associate-r/_binary64_4065`
1×	`div-exp_binary64_4169` `div-inv_binary64_4118` `+-commutative_binary64_4053` `cbrt-undiv_binary64_4152` `sum-log_binary64_4209` `distribute-lft-in_binary64_4072` `frac-2neg_binary64_4132` `clear-num_binary64_4120` `distribute-rgt-in_binary64_4073`

Counts

4 → 82

Calls

4 calls:

12.0ms	(+.f64 (/.f64 (+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (.f64 x -6369080665019903/9007199254740992))
7.0ms	(/.f64 (+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
4.0ms	(*.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)

series199.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
64.0ms	(+.f64 (/.f64 (+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (.f64 x -6369080665019903/9007199254740992))
42.0ms	(/.f64 (+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
22.0ms	(*.f64 x 3881060112545747418883236907595/20282409603651670423947251286016)

simplify100.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5337	2017

prune130.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

96 → 2

Compiler

Compiled 2524 to 2016 computations (20.1% saved)

localize14.0ms (0.5%)

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)))))

rewrite31.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_4121`
19×	`add-sqr-sqrt_binary64_4142`
17×	`add-cube-cbrt_binary64_4153`
15×	`times-frac_binary64_4127`
11×	`pow1_binary64_4179`
8×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `distribute-lft-out_binary64_4074`
7×	`add-log-exp_binary64_4157` `log-pow_binary64_4207`
5×	`associate-/r*_binary64_4067` `log-prod_binary64_4204`
4×	`exp-sum_binary64_4164`
3×	`associate-l_binary64_4064` `associate-r_binary64_4063` `distribute-lft-in_binary64_4072` `flip-+_binary64_4095` `flip3-+_binary64_4124` `associate-/l*_binary64_4068` `distribute-rgt-in_binary64_4073`
2×	`associate-/r/_binary64_4069` `associate-/l/_binary64_4070` `exp-to-pow_binary64_4180` `associate-*r/_binary64_4065` `exp-prod_binary64_4170`
1×	`cbrt-unprod_binary64_4151` `div-exp_binary64_4169` `div-inv_binary64_4118` `cbrt-undiv_binary64_4152` `prod-exp_binary64_4167` `rem-log-exp_binary64_4159` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `frac-2neg_binary64_4132` `rem-exp-log_binary64_4158` `pow-prod-down_binary64_4189` `clear-num_binary64_4120`

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)))
4.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
3.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))

series656.0ms (23.6%)

Counts

4 → 12

Calls

4 calls:

345.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
217.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
77.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
16.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4918	2053
1	4918	2053

prune147.0ms (5.3%)

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 2732 to 2195 computations (19.7% saved)

regimes10.0ms (0.3%)

Compiler: Compiled 42 to 36 computations (14.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	28
1	26	28

end0.0ms (0%)

sample542.0ms (19.5%)

Algorithm

1×

intervals

Results

350.0ms

8000×

body

128

valid

Compiler

Compiled 79 to 68 computations (13.9% saved)

Details

analyze5.0ms (0.2%)

sample16.0ms (0.6%)

simplify272.0ms (9.8%)

prune3.0ms (0.1%)

localize12.0ms (0.4%)

rewrite42.0ms (1.5%)

series222.0ms (8%)

simplify101.0ms (3.6%)

prune158.0ms (5.7%)

localize15.0ms (0.5%)

rewrite37.0ms (1.3%)

series199.0ms (7.2%)

simplify100.0ms (3.6%)

prune130.0ms (4.7%)

localize14.0ms (0.5%)

rewrite31.0ms (1.1%)

series656.0ms (23.6%)

simplify67.0ms (2.4%)

prune147.0ms (5.3%)

regimes10.0ms (0.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample542.0ms (19.5%)

Profiling