Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

sample22.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

prune3.0ms

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: 33.7b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
31.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac_binary64`
22×	`log-pow_binary64`
21×	`pow1_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow1/2_binary64` `sqrt-pow1_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`div-sub_binary64` `log-div_binary64`
1×	`cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 74

Calls

3 calls:

5.0ms	(+.f64 (.f64 re re) (.f64 im im))
8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (.f64 re re) (.f64 im im))
21.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4926	1163
1	4926	1163

prune148.0ms

Filtered

55 candidates to 83 candidates (-50.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	68	15	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	15	84

Merged error: 7.0b

Counts

84 → 15

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
0.5b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
32.4b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac_binary64`
83×	`add-sqr-sqrt_binary64`
54×	`sqrt-prod_binary64`
53×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`pow1_binary64`
32×	`associate-r_binary64`
28×	`log-pow_binary64`
25×	`associate-l_binary64`
19×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`associate-/r*_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`div-sub_binary64`
1×	`pow-prod-down_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

7.0ms	(+.f64 (.f64 re re) (.f64 im im))
43.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
14.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
5.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 re re) (.f64 im im))
18.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
22.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
14.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify102.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4941	2997
1	4941	2997

prune178.0ms

Filtered

104 candidates to 176 candidates (-69.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	169	7	176
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	179	12	191

Merged error: 6.9b

Counts

191 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.3b	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
32.4b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
36×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
30×	`add-cbrt-cube_binary64`
29×	`associate-l_binary64`
26×	`associate-r_binary64` `sqrt-prod_binary64`
22×	`prod-exp_binary64`
19×	`pow1_binary64`
12×	`cbrt-unprod_binary64`
11×	`div-exp_binary64`
8×	`log-pow_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-*r/_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64`
3×	`log-prod_binary64` `1-exp_binary64` `rec-exp_binary64` `un-div-inv_binary64`
2×	`flip3-+_binary64` `div-inv_binary64` `log-div_binary64` `flip-+_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`rem-log-exp_binary64` `+-commutative_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 133

Calls

4 calls:

6.0ms	(+.f64 (.f64 re re) (.f64 im im))
12.0ms	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
15.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 re re) (.f64 im im))
20.0ms	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
18.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
8.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify56.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4949	1972
1	4949	1972

prune135.0ms

Filtered

81 candidates to 145 candidates (-79.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	145	12	157

Merged error: 6.9b

Counts

157 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
0.4b	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
0.5b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
32.4b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

126×	`sqrt-prod_binary64`
112×	`times-frac_binary64`
107×	`add-sqr-sqrt_binary64`
69×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
60×	`associate-l_binary64`
42×	`pow1_binary64`
31×	`log-pow_binary64`
29×	`associate-r_binary64`
21×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
12×	`unswap-sqr_binary64`
10×	`sqrt-div_binary64`
7×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-*r/_binary64` `frac-times_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-/l_binary64` `div-inv_binary64` `log-div_binary64` `associate-l/_binary64`
3×	`log-prod_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `div-sub_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 207

Calls

4 calls:

27.0ms	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
20.0ms	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
8.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
5.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
26.0ms	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
19.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
8.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify68.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4952	4371
1	4952	4371

prune243.0ms

Filtered

133 candidates to 219 candidates (-64.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	217	14	231

Merged error: 6.8b

Counts

231 → 14

regimes879.0ms

Accuracy

56.7% (11.0b remaining)

Error of 18.2b against oracle of 7.3b and baseline of 32.6b

bsearch58.0ms

Steps

Iters	Range		Point
6	6.036398960374348e+129	7.812650815385402e+130	1.5937983800646182e+130
6	9.933459584083102e-197	1.0037015461831789e-195	1.062658705492185e-196
10	-1.7870919779079598e-198	-3.89639687691974e-209	-5.3392694545660306e-201
7	-2.9018461606424774e+144	-1.1688543128024945e+143	-6.320249547149809e+143

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	100
1	59	100

end0.0ms

sample612.0ms

Algorithm

intervals

Results

475.0ms

8000×

body

valid

Details

analyze5.0ms

sample22.0ms

simplify5.0ms

prune3.0ms

localize11.0ms

rewrite19.0ms

series34.0ms

simplify43.0ms

prune148.0ms

localize12.0ms

rewrite83.0ms

series59.0ms

simplify102.0ms

prune178.0ms

localize14.0ms

rewrite43.0ms

series52.0ms

simplify56.0ms

prune135.0ms

localize14.0ms

rewrite70.0ms

series104.0ms

simplify68.0ms

prune243.0ms

regimes879.0ms

bsearch58.0ms

simplify2.0ms

end0.0ms

sample612.0ms

Profiling