Details

analyze315.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample45.0ms

Algorithm

intervals

Results

12.0ms	181×	body	80	valid
9.0ms	25×	body	640	valid
6.0ms	10×	body	1280	valid
5.0ms	25×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	13×	body	80	nan

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	658	20
1	658	20

prune2.0ms

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: 8.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.3b	(*.f64 x (log.f64 y))
5.2b	(log.f64 (-.f64 1 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
4.0ms	(*.f64 x (log.f64 y))
3.0ms	(log.f64 (-.f64 1 y))

series148.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
66.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
30.0ms	(*.f64 x (log.f64 y))
14.0ms	(log.f64 (-.f64 1 y))

simplify86.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4964	1518
1	4964	1518

prune95.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2)) y)))
0.0b	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
0.2b	(*.f64 y -1/3)
0.3b	(*.f64 x (log.f64 y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2)) y)))
9.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
4.0ms	(*.f64 y -1/3)
4.0ms	(*.f64 x (log.f64 y))

series183.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2)) y)))
49.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
13.0ms	(*.f64 y -1/3)
32.0ms	(*.f64 x (log.f64 y))

simplify69.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4997	1558
1	4997	1558

prune82.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
8.7b	(+.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) z) (.f64 (log.f64 (-.f64 1 (sqrt.f64 y))) z))
10.8b	(log.f64 (+.f64 1 (sqrt.f64 y)))
10.9b	(log.f64 (-.f64 1 (sqrt.f64 y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod_binary64` `add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64` `difference-of-squares_binary64` `log-div_binary64` `sqrt-prod_binary64`
3×	`log-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

4.0ms	(*.f64 x (log.f64 y))
5.0ms	(+.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) z) (.f64 (log.f64 (-.f64 1 (sqrt.f64 y))) z))
4.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
7.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(*.f64 x (log.f64 y))
127.0ms	(+.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) z) (.f64 (log.f64 (-.f64 1 (sqrt.f64 y))) z))
26.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
34.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5099	1800

prune93.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
5.2b	(log.f64 (-.f64 1 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`associate-+r+_binary64` `cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
2×	`pow1/3_binary64` `difference-of-squares_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
4.0ms	(log.f64 (-.f64 1 y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
81.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)
14.0ms	(log.f64 (-.f64 1 y))

simplify88.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4910	778
1	4910	778

prune69.0ms

Filtered

60 candidates to 75 candidates (-25.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	75	8	83

Merged error: 0.0b

Counts

83 → 8

regimes78.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	30
1	48	30

end0.0ms

sample1.4s

Algorithm

intervals

Results

379.0ms	5569×	body	80	valid
311.0ms	867×	body	640	valid
254.0ms	370×	body	1280	valid
165.0ms	720×	body	320	valid
66.0ms	474×	body	160	valid
19.0ms	250×	body	80	nan
2.0ms	25×	body	80	invalid

Details

analyze315.0ms

sample45.0ms

simplify40.0ms

prune2.0ms

localize13.0ms

rewrite24.0ms

series148.0ms

simplify86.0ms

prune95.0ms

localize15.0ms

rewrite26.0ms

series183.0ms

simplify69.0ms

prune82.0ms

localize17.0ms

rewrite21.0ms

series223.0ms

simplify61.0ms

prune93.0ms

localize17.0ms

rewrite15.0ms

series264.0ms

simplify88.0ms

prune69.0ms

regimes78.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

Profiling