Details

analyze2.0ms

Algorithm

Search

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

sample56.0ms

Algorithm

intervals

Results

33.0ms	135×	body	160	valid
15.0ms	121×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

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: 15.0b

Counts

2 → 1

localize22.0ms

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 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))
0.5b	(+.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))))))))
14.9b	(-.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))))))

rewrite29.0ms

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 -1.453152027 (.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))))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x))))
34.0ms	(.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)))
112.0ms	(+.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))))))))
294.0ms	(-.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))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5091	3517

prune374.0ms

Filtered

81 candidates to 105 candidates (-29.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 14.9b

Counts

106 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (.f64 (/.f64 1.0 (+.f64 1.0 (.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))
0.5b	(+.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))))))))
14.9b	(-.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)))))
14.9b	(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 -1.453152027 (.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)))))))

series735.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.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)))
115.0ms	(+.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))))))))
292.0ms	(-.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)))))
294.0ms	(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)))))))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5047	4546

prune332.0ms

Filtered

70 candidates to 93 candidates (-32.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	94	5	99

Merged error: 14.9b

Counts

99 → 5

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.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 (log.f64 (exp.f64 (.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))))))))))
2.6b	(log.f64 (exp.f64 (.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)))))
14.9b	(-.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 (log.f64 (exp.f64 (.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)))))
14.9b	(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 (log.f64 (exp.f64 (.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)))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64` `log-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `log-pow_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
3×	`exp-sum_binary64`
2×	`sub-neg_binary64` `rem-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `diff-log_binary64` `exp-diff_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `exp-to-pow_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 57

Calls

4 calls:

5.0ms	(+.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 (log.f64 (exp.f64 (.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))))))))))
3.0ms	(log.f64 (exp.f64 (.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 (log.f64 (exp.f64 (.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 (log.f64 (exp.f64 (.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)))))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+.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 (log.f64 (exp.f64 (.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))))))))))
37.0ms	(log.f64 (exp.f64 (.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)))))
291.0ms	(-.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 (log.f64 (exp.f64 (.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)))))
296.0ms	(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 (log.f64 (exp.f64 (.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)))))))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4993	3960
1	4993	3960

prune257.0ms

Filtered

54 candidates to 69 candidates (-27.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 14.9b

Counts

74 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(log.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))))))
0.5b	(+.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))))))))
1.4b	(exp.f64 (log.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)))))))
14.9b	(-.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)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `log-prod_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `log-div_binary64` `exp-prod_binary64`
3×	`flip3--_binary64` `exp-sum_binary64` `flip--_binary64`
2×	`log-pow_binary64` `exp-diff_binary64` `associate-+r+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rem-exp-log_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 55

Calls

4 calls:

4.0ms	(log.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))))))
5.0ms	(+.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))))))))
5.0ms	(exp.f64 (log.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)))))))
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)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

503.0ms	(log.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))))))
117.0ms	(+.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))))))))
297.0ms	(exp.f64 (log.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)))))))
292.0ms	(-.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)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5696	5070

prune230.0ms

Filtered

48 candidates to 67 candidates (-39.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Merged error: 14.9b

Counts

72 → 7

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	149	66
1	149	66

end0.0ms

sample1.6s

Algorithm

intervals

Results

975.0ms	3889×	body	160	valid
537.0ms	4111×	body	80	valid

Details

analyze2.0ms

sample56.0ms

simplify50.0ms

prune12.0ms

localize22.0ms

rewrite29.0ms

series453.0ms

simplify53.0ms

prune374.0ms

localize33.0ms

rewrite27.0ms

series735.0ms

simplify68.0ms

prune332.0ms

localize33.0ms

rewrite17.0ms

series736.0ms

simplify44.0ms

prune257.0ms

localize30.0ms

rewrite20.0ms

series1.2s

simplify82.0ms

prune230.0ms

regimes128.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.6s

Profiling