Details

analyze382.0ms

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

sample43.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
8.0ms	127×	body	80	nan
0.0ms	2×	body	80	invalid

simplify158.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4938	16
1	4938	16

prune7.0ms

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: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) 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 (-.f64 a 1/2) (log.f64 t))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series100.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
49.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
9.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
13.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4981	1543
1	4981	1543

prune155.0ms

Filtered

84 candidates to 112 candidates (-33.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (*.f64 2 (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod_binary64`
18×	`*-un-lft-identity_binary64` `associate-+r+_binary64`
15×	`cbrt-prod_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`distribute-lft-in_binary64` `associate-+l-_binary64` `distribute-rgt-in_binary64`
5×	`pow1_binary64` `associate-+l+_binary64`
4×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow1/3_binary64` `+-commutative_binary64`
1×	`log-pow_binary64`

Counts

4 → 74

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (*.f64 2 (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series93.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
29.0ms	(+.f64 (log.f64 (+.f64 x y)) (*.f64 2 (log.f64 (cbrt.f64 z))))
15.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)

simplify68.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4940	750
1	4940	750

prune125.0ms

Filtered

77 candidates to 86 candidates (-11.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite38.0ms

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`
3×	`associate-+l-_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `log-div_binary64` `+-commutative_binary64`
1×	`associate-+r-_binary64`

Counts

4 → 86

Calls

4 calls:

25.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series106.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)
13.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4944	2467
1	4944	2467

prune157.0ms

Filtered

84 candidates to 98 candidates (-16.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Merged error: 0b

Counts

105 → 8

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 (pow.f64 t 2/3))
6.2b	(pow.f64 t 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
16×	`cbrt-prod_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64`
7×	`log-prod_binary64`
6×	`unpow-prod-down_binary64`
5×	`distribute-lft-out_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `associate-+l+_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `associate-+r+_binary64`
2×	`flip3-+_binary64` `pow1/3_binary64` `sqr-pow_binary64` `associate-+l-_binary64` `log-div_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 t))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
2.0ms	(cbrt.f64 (pow.f64 t 2/3))
3.0ms	(pow.f64 t 2/3)

series68.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt.f64 (cbrt.f64 t))
13.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
15.0ms	(cbrt.f64 (pow.f64 t 2/3))
14.0ms	(pow.f64 t 2/3)

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4946	525
1	4946	525

prune100.0ms

Filtered

63 candidates to 82 candidates (-30.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Merged error: 0b

Counts

90 → 8

regimes1.0s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	23
1	43	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

578.0ms	8000×	body	80	valid
278.0ms	4357×	body	80	nan
2.0ms	33×	body	80	invalid

Details

analyze382.0ms

sample43.0ms

simplify158.0ms

prune7.0ms

localize15.0ms

rewrite41.0ms

series100.0ms

simplify57.0ms

prune155.0ms

localize23.0ms

rewrite22.0ms

series93.0ms

simplify68.0ms

prune125.0ms

localize24.0ms

rewrite38.0ms

series106.0ms

simplify68.0ms

prune157.0ms

localize37.0ms

rewrite16.0ms

series68.0ms

simplify53.0ms

prune100.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling