Details

analyze358.0ms (9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	2
50%	50%	0%	3
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	4
87.5%	12.5%	0%	5
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	13
99.9%	0%	0%	14
99.9%	0%	0%	14

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample154.0ms (3.9%)

Algorithm

2×

intervals

Results

20.0ms

512×

body

128

valid

Compiler

Compiled 4661 to 4142 computations (11.1% saved)

simplify200.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (194.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25

prune8.0ms (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 34 to 28 computations (17.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
14.4b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite155.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
8×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
3×	`associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l_binary64_701` `associate-r_binary64_700`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-*r/_binary64_702` `sum-log_binary64_851` `+-commutative_binary64_690`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `*-commutative_binary64_691`

Counts

4 → 75

Calls

4 calls:

6.0ms	(/.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))

Compiler

Compiled 2073 to 1648 computations (20.5% saved)

series263.0ms (6.6%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

72.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
69.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
47.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
39.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 1115 to 909 computations (18.5% saved)

simplify83.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4846	1837
1	4846	1837

prune150.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Compiler

Compiled 2383 to 1856 computations (22.1% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

4.8b	(/.f64 (sqrt.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)))))))
14.7b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
14.7b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
14.7b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite350.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-div_binary64_792`
11×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
10×	`flip3-+_binary64_763` `flip-+_binary64_734`
9×	`add-exp-log_binary64_798` `cbrt-prod_binary64_791`
8×	`associate-/r/_binary64_706`
7×	`add-cbrt-cube_binary64_796`
6×	`times-frac_binary64_766` `sqrt-prod_binary64_776` `associate-/l*_binary64_705`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `frac-times_binary64_770`
3×	`pow1/3_binary64_842`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `sqrt-div_binary64_777` `associate-/l/_binary64_707` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704`

Counts

4 → 76

Calls

4 calls:

13.0ms	(/.f64 (sqrt.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)))))

Compiler

Compiled 4874 to 3999 computations (18% saved)

series585.0ms (14.7%)

Error

Counts

4 → 33

Calls

4 calls:

155.0ms	(/.f64 (sqrt.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)))))))
113.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
110.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
101.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 4201 to 3587 computations (14.6% saved)

simplify120.0ms (3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4834	3144
1	4834	3144

prune418.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 5983 to 4877 computations (18.5% saved)

regimes105.0ms (2.6%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 1076 to 898 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	47
1	35	47

end0.0ms (0%)

sample1.0s (25.2%)

Algorithm

1×

intervals

Results

313.0ms

8000×

body

128

valid

Compiler

Compiled 569 to 476 computations (16.3% saved)

Details

analyze358.0ms (9%)

sample154.0ms (3.9%)

simplify200.0ms (5%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

rewrite155.0ms (3.9%)

series263.0ms (6.6%)

simplify83.0ms (2.1%)

prune150.0ms (3.8%)

localize18.0ms (0.4%)

rewrite350.0ms (8.8%)

series585.0ms (14.7%)

simplify120.0ms (3%)

prune418.0ms (10.5%)

regimes105.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (25.2%)

Profiling