Details

analyze389.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample45.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
10.0ms	156×	body	80	nan
0.0ms	2×	body	80	invalid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4938	16
1	4938	16

prune6.0ms

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: 0.3b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64` `log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64` `pow1_binary64`
9×	`associate-+r+_binary64`
6×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-*l/_binary64`
5×	`flip3--_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `flip--_binary64` `sum-log_binary64`
4×	`associate-r_binary64` `frac-add_binary64`
3×	`flip3-+_binary64` `associate-+l-_binary64` `flip-+_binary64`
2×	`diff-log_binary64` `log-div_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

3 → 79

Calls

3 calls:

8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
14.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series75.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
52.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
13.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify33.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5006	1258

prune107.0ms

Filtered

67 candidates to 88 candidates (-31.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	80	8	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
25×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
13×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64`
12×	`associate--l+_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-+r+_binary64`
7×	`log-pow_binary64` `associate-+l+_binary64` `sum-log_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-+r-_binary64` `diff-log_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `associate-+l-_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

9.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
11.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
10.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
15.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
22.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
9.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
49.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))

simplify32.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4997	1444
1	4997	1444

prune82.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-add_binary64` `associate-*l/_binary64`
19×	`log-prod_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-log-exp_binary64`
15×	`associate-+r+_binary64`
14×	`flip3--_binary64` `flip--_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
9×	`sum-log_binary64`
8×	`pow1_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `flip-+_binary64`
4×	`log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+l-_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `log-div_binary64` `+-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

20.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series153.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
17.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)

simplify50.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4933	2412
1	4933	2412

prune115.0ms

Filtered

84 candidates to 98 candidates (-16.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Merged error: 0b

Counts

106 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 1/2) (log.f64 (pow.f64 t 1/3))))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
5.1b	(pow.f64 t 1/3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod_binary64`
20×	`frac-add_binary64` `associate-*l/_binary64`
19×	`*-un-lft-identity_binary64`
17×	`associate-+r+_binary64`
16×	`add-log-exp_binary64`
14×	`flip3--_binary64` `flip--_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `unpow-prod-down_binary64` `sum-log_binary64`
7×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `flip-+_binary64`
4×	`log-pow_binary64` `add-cbrt-cube_binary64` `associate-+l-_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `cbrt-prod_binary64`
2×	`diff-log_binary64` `log-div_binary64` `+-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `pow-exp_binary64` `unpow1/3_binary64`

Counts

4 → 95

Calls

4 calls:

21.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 1/2) (log.f64 (pow.f64 t 1/3))))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
3.0ms	(pow.f64 t 1/3)

series374.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 1/2) (log.f64 (pow.f64 t 1/3))))
14.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
15.0ms	(cbrt.f64 t)
14.0ms	(pow.f64 t 1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4920	2658
1	4920	2658

prune95.0ms

Filtered

86 candidates to 107 candidates (-24.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0b

Counts

115 → 8

regimes726.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

619.0ms	8000×	body	80	valid
306.0ms	4513×	body	80	nan
3.0ms	39×	body	80	invalid

Details

analyze389.0ms

sample45.0ms

simplify142.0ms

prune6.0ms

localize14.0ms

rewrite32.0ms

series75.0ms

simplify33.0ms

prune107.0ms

localize15.0ms

rewrite48.0ms

series91.0ms

simplify32.0ms

prune82.0ms

localize20.0ms

rewrite34.0ms

series153.0ms

simplify50.0ms

prune115.0ms

localize32.0ms

rewrite36.0ms

series374.0ms

simplify66.0ms

prune95.0ms

regimes726.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling