Details

analyze309.0ms

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%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

sample34.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
1.0ms	13×	body	80	nan
0.0ms	1×	body	80	invalid

simplify260.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

Iter	Nodes	Cost
0	6359	11

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: 0.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

8.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
14.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
21.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
8.0ms	(*.f64 x (log.f64 y))

series67.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
18.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
23.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
13.0ms	(*.f64 x (log.f64 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5128	985

prune88.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
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)

series81.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
25.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	606
1	4944	606

prune84.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`associate-r_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

4 → 69

Calls

4 calls:

7.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
4.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series66.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
11.0ms	(*.f64 (log.f64 y) 2/3)
15.0ms	(cbrt.f64 (sqrt.f64 y))
13.0ms	(cbrt.f64 (sqrt.f64 y))

simplify34.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5158	657

prune77.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Merged error: 0b

Counts

86 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 x (log.f64 y)))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 x (log.f64 y))
0.3b	(.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1_binary64`
30×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
22×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-r_binary64` `log-prod_binary64`
11×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-sqr_binary64`
5×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`log-pow_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 110

Calls

4 calls:

2.0ms	(sqrt.f64 (*.f64 x (log.f64 y)))
5.0ms	(*.f64 x (log.f64 y))
5.0ms	(*.f64 x (log.f64 y))
9.0ms	(.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt.f64 (*.f64 x (log.f64 y)))
10.0ms	(*.f64 x (log.f64 y))
7.0ms	(*.f64 x (log.f64 y))
16.0ms	(.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4987	991
1	4987	991

prune74.0ms

Filtered

66 candidates to 122 candidates (-84.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes499.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample653.0ms

Algorithm

intervals

Results

426.0ms	7998×	body	80	valid
15.0ms	390×	body	80	nan
1.0ms	24×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze309.0ms

sample34.0ms

simplify260.0ms

prune6.0ms

localize17.0ms

rewrite55.0ms

series67.0ms

simplify50.0ms

prune88.0ms

localize15.0ms

rewrite19.0ms

series81.0ms

simplify55.0ms

prune84.0ms

localize19.0ms

rewrite17.0ms

series66.0ms

simplify34.0ms

prune77.0ms

localize12.0ms

rewrite24.0ms

series51.0ms

simplify46.0ms

prune74.0ms

regimes499.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample653.0ms

Profiling