Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample52.0ms

Algorithm

intervals

Results

30.0ms	126×	body	160	valid
15.0ms	130×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4973	63
1	4973	63

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.8b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x))))
0.1b	(.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))
0.4b	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))
13.7b	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`times-frac_binary64`
15×	`associate-l_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

6.0ms	(/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x))))
12.0ms	(.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))
4.0ms	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))
4.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x))))
69.0ms	(.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))
107.0ms	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))
270.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

simplify68.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5020	4067

prune380.0ms

Filtered

81 candidates to 105 candidates (-29.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 13.7b

Counts

106 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))
0.4b	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))
13.7b	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
13.8b	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
4×	`flip3-+_binary64` `log-prod_binary64` `log-pow_binary64` `flip-+_binary64`
3×	`associate-r_binary64` `exp-prod_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

12.0ms	(.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))
4.0ms	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))
4.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
5.0ms	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

series722.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))
108.0ms	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))
273.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
271.0ms	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

simplify85.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4974	5096
1	4974	5096

prune367.0ms

Filtered

71 candidates to 93 candidates (-31.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 13.7b

Counts

101 → 8

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))
1.0b	(log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))))
13.7b	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
13.8b	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `exp-prod_binary64`
8×	`log-prod_binary64` `log-pow_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`exp-sum_binary64`
2×	`sub-neg_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `exp-diff_binary64` `log-div_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 57

Calls

4 calls:

6.0ms	(exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))
5.0ms	(log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))))
4.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
5.0ms	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

series791.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))
107.0ms	(log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429))))))))))
274.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
275.0ms	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (log.f64 (exp.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

simplify87.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4974	4322
1	4974	4322

prune243.0ms

Filtered

51 candidates to 69 candidates (-35.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	69	8	77

Merged error: 13.7b

Counts

77 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))
0.4b	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))))))))
13.7b	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
13.8b	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-l_binary64`
15×	`sqrt-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`sqrt-div_binary64`
10×	`pow1_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64` `frac-times_binary64`
8×	`add-log-exp_binary64`
7×	`associate-*r/_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`associate-*l/_binary64`
4×	`log-prod_binary64` `log-pow_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `exp-prod_binary64`
2×	`sub-neg_binary64` `associate-/r/_binary64` `associate-+r+_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `rem-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `exp-diff_binary64` `exp-sum_binary64` `div-inv_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

24.0ms	(.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))
5.0ms	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))))))))
4.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
5.0ms	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

series836.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))
137.0ms	(+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))))))))
310.0ms	(-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))
312.0ms	(log.f64 (exp.f64 (-.f64 1.0 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (.f64 (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x))))) (.f64 (+.f64 1.421413741 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))) (sqrt.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

simplify84.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4983	5529
1	4983	5529

prune393.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	97	8	105

Merged error: 13.7b

Counts

105 → 8

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 13.8b against oracle of 13.7b and baseline of 13.8b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	66
1	81	66

end0.0ms

sample1.5s

Algorithm

intervals

Results

923.0ms	3912×	body	160	valid
498.0ms	4088×	body	80	valid

Details

analyze1.0ms

sample52.0ms

simplify50.0ms

prune12.0ms

localize21.0ms

rewrite28.0ms

series458.0ms

simplify68.0ms

prune380.0ms

localize29.0ms

rewrite27.0ms

series722.0ms

simplify85.0ms

prune367.0ms

localize33.0ms

rewrite22.0ms

series791.0ms

simplify87.0ms

prune243.0ms

localize30.0ms

rewrite41.0ms

series836.0ms

simplify84.0ms

prune393.0ms

regimes123.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.5s

Profiling