Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
0%	74.9%	25.1%	2
18.7%	56.2%	25.1%	3
37.5%	37.5%	25.1%	4
42.1%	32.8%	25.1%	5
46.8%	28.1%	25.1%	6
48%	26.9%	25.1%	7
49.2%	25.8%	25.1%	8
49.5%	25.5%	25.1%	9
49.8%	25.2%	25.1%	10
49.8%	25.2%	25.1%	11
49.8%	25.1%	25.1%	12
49.9%	25%	25.1%	13
49.9%	25%	25.1%	14

sample1.8s

Algorithm

intervals

Results

1.7s	137×	body	5120	exit
77.0ms	256×	body	80	valid
7.0ms	397×	pre	80	true
1.0ms	4×	body	80	invalid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5022	78

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 2.1b

Counts

2 → 2

localize60.0ms

Local error

Found 4 expressions with local error:

5.5b	(-.f64 (-.f64 1.0 z) 1.0)
5.5b	(-.f64 (-.f64 1.0 z) 1.0)
5.5b	(-.f64 (-.f64 1.0 z) 1.0)
5.5b	(-.f64 (-.f64 1.0 z) 1.0)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
12×	`diff-log_binary64` `add-sqr-sqrt_binary64` `distribute-lft-out--_binary64`
8×	`sub-neg_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate--l-_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 68

Calls

4 calls:

8.0ms	(-.f64 (-.f64 1.0 z) 1.0)
8.0ms	(-.f64 (-.f64 1.0 z) 1.0)
8.0ms	(-.f64 (-.f64 1.0 z) 1.0)
8.0ms	(-.f64 (-.f64 1.0 z) 1.0)

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 (-.f64 1.0 z) 1.0)
2.0ms	(-.f64 (-.f64 1.0 z) 1.0)
2.0ms	(-.f64 (-.f64 1.0 z) 1.0)
2.0ms	(-.f64 (-.f64 1.0 z) 1.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4868	388
1	4868	388

prune431.0ms

Filtered

60 candidates to 80 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	80	2	82

Merged error: 2.1b

Counts

82 → 2

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
1.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2.0))
2.5b	(+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

281×	`*-un-lft-identity_binary64`
211×	`distribute-lft-out_binary64`
100×	`frac-add_binary64`
44×	`add-log-exp_binary64` `times-frac_binary64`
31×	`sum-log_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`flip3-+_binary64` `flip-+_binary64`
16×	`associate-/l/_binary64`
12×	`exp-sum_binary64`
11×	`associate-/l*_binary64`
7×	`pow1_binary64`
6×	`add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`
4×	`associate-/r*_binary64`
2×	`associate-+l+_binary64` `sqrt-pow1_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `sqrt-prod_binary64`

Counts

4 → 153

Calls

4 calls:

122.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
89.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z)))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
21.0ms	(+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z)))

series43.0ms

Counts

4 → 10

Calls

4 calls:

23.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
15.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z)))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
5.0ms	(+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5381	11109

prune1.4s

Filtered

101 candidates to 163 candidates (-61.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	160	5	165

Merged error: 0.5b

Counts

165 → 5

localize86.0ms

Local error

Found 4 expressions with local error:

2.5b	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
2.5b	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
2.5b	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
2.5b	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
12×	`distribute-lft-out_binary64` `sum-log_binary64`
8×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 68

Calls

4 calls:

23.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
22.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
23.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
26.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
5.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
8.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))
5.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))

simplify51.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4955	1536
1	4955	1536

prune2.8s

Filtered

60 candidates to 80 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0.5b

Counts

85 → 5

localize68.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (.f64 (-.f64 2.0 z) (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
1.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (.f64 (-.f64 2.0 z) (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2.0))
2.6b	(+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099)))))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity_binary64`
120×	`distribute-lft-out_binary64`
77×	`frac-add_binary64`
36×	`times-frac_binary64`
26×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
20×	`associate-*r/_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`sum-log_binary64`
13×	`associate-/l/_binary64`
10×	`exp-sum_binary64`
9×	`associate-/l*_binary64`
8×	`frac-times_binary64`
7×	`pow1_binary64`
6×	`flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
5×	`add-exp-log_binary64`
4×	`associate-/r_binary64` `associate-l/_binary64`
3×	`associate-+l+_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `+-commutative_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `sqrt-prod_binary64`

Counts

4 → 147

Calls

4 calls:

147.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (.f64 (-.f64 2.0 z) (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
128.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (.f64 (-.f64 2.0 z) (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z)))
3.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
49.0ms	(+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099)))))

series145.0ms

Counts

4 → 10

Calls

4 calls:

71.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (.f64 (-.f64 2.0 z) (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
60.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (.f64 (-.f64 2.0 z) (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z)))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
13.0ms	(+.f64 (.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (.f64 -1259.1392167224028 (+.f64 (.f64 0.9999999999998099 0.9999999999998099) (.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099)))))

simplify128.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5382	20400

prune3.7s

Filtered

110 candidates to 157 candidates (-42.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	157	5	162

Merged error: 0.5b

Counts

162 → 5

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	199	394
1	199	394

end0.0ms

sample48.8s

Algorithm

intervals

Results

45.8s	3799×	body	5120	exit
2.5s	8000×	body	80	valid
216.0ms	11889×	pre	80	true
30.0ms	90×	body	80	invalid

Details

analyze1.7s

sample1.8s

simplify46.0ms

prune14.0ms

localize60.0ms

rewrite32.0ms

series8.0ms

simplify54.0ms

prune431.0ms

localize52.0ms

rewrite247.0ms

series43.0ms

simplify83.0ms

prune1.4s

localize86.0ms

rewrite97.0ms

series23.0ms

simplify51.0ms

prune2.8s

localize68.0ms

rewrite342.0ms

series145.0ms

simplify128.0ms

prune3.7s

regimes100.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample48.8s

Profiling