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

sample1.6s

Algorithm

intervals

Results

1.5s	123×	body	5120	exit
81.0ms	256×	body	80	valid
5.0ms	380×	pre	80	true
0.0ms	1×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5022	78

prune15.0ms

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: 1.8b

Counts

2 → 2

localize50.0ms

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 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2.0))
2.6b	(+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

255×	`*-un-lft-identity_binary64`
189×	`distribute-lft-out_binary64`
64×	`frac-add_binary64`
44×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`add-log-exp_binary64`
16×	`associate-/l/_binary64`
13×	`flip3-+_binary64` `flip-+_binary64`
12×	`exp-sum_binary64`
11×	`associate-/l*_binary64`
9×	`sum-log_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 → 137

Calls

4 calls:

120.0ms	(/.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)))
33.0ms	(+.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)))
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)))

series35.0ms

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)))
7.0ms	(+.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)))
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)))

simplify90.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4953	7553
1	4953	7553

prune939.0ms

Filtered

91 candidates to 147 candidates (-61.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	142	7	149

Merged error: 0.3b

Counts

149 → 7

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z)))) (/.f64 771.3234287776531 (-.f64 3.0 z)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2.0))
1.0b	(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 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)))))
2.6b	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

211×	`*-un-lft-identity_binary64`
153×	`distribute-lft-out_binary64`
50×	`log-pow_binary64`
49×	`exp-prod_binary64`
44×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`add-log-exp_binary64`
11×	`exp-sum_binary64`
9×	`sum-log_binary64`
8×	`pow1_binary64` `frac-add_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`log-prod_binary64`
2×	`sqrt-pow1_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `rem-log-exp_binary64` `associate-+l+_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `exp-diff_binary64` `div-inv_binary64` `sqrt-prod_binary64` `associate-+r+_binary64`

Counts

4 → 110

Calls

4 calls:

33.0ms	(+.f64 (+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z)))) (/.f64 771.3234287776531 (-.f64 3.0 z)))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
117.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 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)))))
22.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))

series39.0ms

Counts

4 → 10

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z)))) (/.f64 771.3234287776531 (-.f64 3.0 z)))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
27.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 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)))))
5.0ms	(+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5584	3392

prune400.0ms

Filtered

71 candidates to 120 candidates (-69.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Merged error: 0.3b

Counts

127 → 7

localize70.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (+.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 3.0 z)) (.f64 (+.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) 771.3234287776531))) (.f64 (+.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 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 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 3.0 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)))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity_binary64`
89×	`frac-add_binary64`
82×	`associate-*r/_binary64`
75×	`distribute-lft-out_binary64`
68×	`frac-times_binary64`
65×	`flip3-+_binary64` `flip-+_binary64`
43×	`flip3--_binary64` `flip--_binary64`
34×	`associate-*l/_binary64`
32×	`times-frac_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
11×	`associate-/l/_binary64`
9×	`pow1_binary64` `exp-sum_binary64`
8×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
4×	`associate-/r*_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-+l+_binary64` `sqrt-pow1_binary64` `associate-+r+_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sqrt-prod_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 188

Calls

4 calls:

149.0ms	(/.f64 (+.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 3.0 z)) (.f64 (+.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) 771.3234287776531))) (.f64 (+.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 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)))
51.0ms	(.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 3.0 z))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
47.0ms	(+.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)))))

series138.0ms

Counts

4 → 10

Calls

4 calls:

113.0ms	(/.f64 (+.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 3.0 z)) (.f64 (+.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) 771.3234287776531))) (.f64 (+.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 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)))
13.0ms	(.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 3.0 z))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))
12.0ms	(+.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)))))

simplify142.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	6641	22581

prune8.8s

Filtered

157 candidates to 198 candidates (-26.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	200	5	205

Merged error: 0.3b

Counts

205 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 1113.6230738897482 (/.f64 (.f64 z z) (exp.f64 7.5)))
0.4b	(*.f64 700.2793595373912 (/.f64 z (exp.f64 7.5)))
1.0b	(.f64 (sqrt.f64 (.f64 PI.f64 2.0)) (.f64 (pow.f64 (+.f64 (-.f64 7.0 z) 0.5) (-.f64 0.5 z)) (+.f64 (.f64 700.2793595373912 (/.f64 z (exp.f64 7.5))) (+.f64 (/.f64 263.38318698105144 (exp.f64 7.5)) (.f64 1113.6230738897482 (/.f64 (.f64 z z) (exp.f64 7.5)))))))
1.0b	(sqrt.f64 (*.f64 PI.f64 2.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*r/_binary64`
25×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
23×	`add-cbrt-cube_binary64`
21×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`times-frac_binary64`
13×	`pow1_binary64` `prod-exp_binary64`
10×	`associate-l_binary64`
9×	`cbrt-unprod_binary64`
8×	`frac-add_binary64`
6×	`pow-sub_binary64`
5×	`frac-times_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip-+_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64` `*-commutative_binary64`
2×	`sqrt-pow1_binary64` `div-inv_binary64` `sqrt-prod_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `pow-exp_binary64` `associate-*l/_binary64`

Counts

4 → 106

Calls

4 calls:

9.0ms	(.f64 1113.6230738897482 (/.f64 (.f64 z z) (exp.f64 7.5)))
8.0ms	(*.f64 700.2793595373912 (/.f64 z (exp.f64 7.5)))
29.0ms	(.f64 (sqrt.f64 (.f64 PI.f64 2.0)) (.f64 (pow.f64 (+.f64 (-.f64 7.0 z) 0.5) (-.f64 0.5 z)) (+.f64 (.f64 700.2793595373912 (/.f64 z (exp.f64 7.5))) (+.f64 (/.f64 263.38318698105144 (exp.f64 7.5)) (.f64 1113.6230738897482 (/.f64 (.f64 z z) (exp.f64 7.5)))))))
3.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))

series69.0ms

Counts

4 → 10

Calls

4 calls:

13.0ms	(.f64 1113.6230738897482 (/.f64 (.f64 z z) (exp.f64 7.5)))
14.0ms	(*.f64 700.2793595373912 (/.f64 z (exp.f64 7.5)))
42.0ms	(.f64 (sqrt.f64 (.f64 PI.f64 2.0)) (.f64 (pow.f64 (+.f64 (-.f64 7.0 z) 0.5) (-.f64 0.5 z)) (+.f64 (.f64 700.2793595373912 (/.f64 z (exp.f64 7.5))) (+.f64 (/.f64 263.38318698105144 (exp.f64 7.5)) (.f64 1113.6230738897482 (/.f64 (.f64 z z) (exp.f64 7.5)))))))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4973	2316
1	4973	2316

prune214.0ms

Filtered

84 candidates to 116 candidates (-38.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0.3b

Counts

121 → 4

regimes62.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	42
1	52	42

end0.0ms

sample49.3s

Algorithm

intervals

Results

46.3s	3859×	body	5120	exit
2.5s	8000×	body	80	valid
202.0ms	11938×	pre	80	true
26.0ms	79×	body	80	invalid

Details

analyze1.7s

sample1.6s

simplify41.0ms

prune15.0ms

localize50.0ms

rewrite186.0ms

series35.0ms

simplify90.0ms

prune939.0ms

localize57.0ms

rewrite183.0ms

series39.0ms

simplify40.0ms

prune400.0ms

localize70.0ms

rewrite265.0ms

series138.0ms

simplify142.0ms

prune8.8s

localize30.0ms

rewrite52.0ms

series69.0ms

simplify77.0ms

prune214.0ms

regimes62.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample49.3s

Profiling