Details

analyze37.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

sample26.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
0.0ms	3×	pre	80	false

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5165	11

prune5.0ms

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: 15.3b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
33.2b	(/.f64 (.f64 b b) (.f64 a a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `div-exp_binary64`
3×	`times-frac_binary64` `sqrt-prod_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

6.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
7.0ms	(/.f64 (.f64 b b) (.f64 a a))

series23.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
10.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
6.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5101	563

prune28.0ms

Filtered

35 candidates to 59 candidates (-68.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	60	1	61

Merged error: 0.0b

Counts

61 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 b (/.f64 a (/.f64 b a))))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (/.f64 a (/.f64 b a))))))
0.2b	(/.f64 b (/.f64 a (/.f64 b a)))
0.2b	(/.f64 a (/.f64 b a))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac_binary64`
258×	`add-sqr-sqrt_binary64`
239×	`*-un-lft-identity_binary64`
232×	`add-cube-cbrt_binary64`
57×	`associate-/r*_binary64`
22×	`div-inv_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`difference-of-squares_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`associate-/r/_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
3×	`sqrt-prod_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 301

Calls

4 calls:

40.0ms	(-.f64 1 (/.f64 b (/.f64 a (/.f64 b a))))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (/.f64 a (/.f64 b a))))))
12.0ms	(/.f64 b (/.f64 a (/.f64 b a)))
6.0ms	(/.f64 a (/.f64 b a))

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 1 (/.f64 b (/.f64 a (/.f64 b a))))
10.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (/.f64 a (/.f64 b a))))))
6.0ms	(/.f64 b (/.f64 a (/.f64 b a)))
4.0ms	(/.f64 a (/.f64 b a))

simplify95.0ms

Algorithm

egg-herbie

Counts

313 → 313

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5021	3966

prune112.0ms

Filtered

195 candidates to 313 candidates (-60.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	312	1	313
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	312	2	314

Merged error: 0b

Counts

314 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))))
0.0b	(-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))
0.3b	(*.f64 (/.f64 b a) (/.f64 b a))
5.8b	(log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
39×	`*-un-lft-identity_binary64`
35×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`pow1_binary64`
13×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `log-prod_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
3×	`associate--r+_binary64` `sqrt-prod_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `pow-prod-up_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `flip--_binary64` `exp-to-pow_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))))
6.0ms	(-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))
13.0ms	(*.f64 (/.f64 b a) (/.f64 b a))
2.0ms	(log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))))
7.0ms	(-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))
6.0ms	(*.f64 (/.f64 b a) (/.f64 b a))
6.0ms	(log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a))))

simplify47.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5227	1032

prune58.0ms

Filtered

83 candidates to 124 candidates (-49.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	124	2	126

Merged error: 0b

Counts

126 → 2

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample570.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
148.0ms	8000×	pre	80	true
2.0ms	103×	pre	80	false

Details

analyze37.0ms

sample26.0ms

simplify66.0ms

prune5.0ms

localize7.0ms

rewrite15.0ms

series23.0ms

simplify36.0ms

prune28.0ms

localize7.0ms

rewrite79.0ms

series27.0ms

simplify95.0ms

prune112.0ms

localize9.0ms

rewrite27.0ms

series29.0ms

simplify47.0ms

prune58.0ms

regimes43.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample570.0ms

Profiling