Details

analyze195.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample17.0ms

Algorithm

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid
0.0ms	1×	body	128	nan

simplify252.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	4860	12
1	4860	12

prune1.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
84.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
54.0ms	(*.f64 x (log.f64 y))

simplify69.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	917
1	4957	917

prune46.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
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)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
9.0ms	(+.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)

series582.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
133.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
161.0ms	(cbrt.f64 y)
157.0ms	(cbrt.f64 y)

simplify70.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4974	760
1	4974	760

prune66.0ms

Filtered

60 candidates to 76 candidates (-26.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`unpow-prod-down_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
1.0ms	(cbrt.f64 y)
2.0ms	(pow.f64 y 1/3)

series604.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
188.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
157.0ms	(cbrt.f64 y)
148.0ms	(pow.f64 y 1/3)

simplify91.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5004	937

prune69.0ms

Filtered

65 candidates to 100 candidates (-53.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (pow.f64 (sqrt.f64 y) 1/3)) x)
0.3b	(*.f64 (log.f64 y) 5/6)
0.3b	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 (sqrt.f64 y) 1/3)) x))
4.1b	(pow.f64 (sqrt.f64 y) 1/3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
9×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `unpow-prod-down_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `sqrt-prod_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64`

Counts

4 → 73

Calls

4 calls:

4.0ms	(*.f64 (log.f64 (pow.f64 (sqrt.f64 y) 1/3)) x)
4.0ms	(*.f64 (log.f64 y) 5/6)
7.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 (sqrt.f64 y) 1/3)) x))
3.0ms	(pow.f64 (sqrt.f64 y) 1/3)

series470.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(*.f64 (log.f64 (pow.f64 (sqrt.f64 y) 1/3)) x)
99.0ms	(*.f64 (log.f64 y) 5/6)
197.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 (sqrt.f64 y) 1/3)) x))
49.0ms	(pow.f64 (sqrt.f64 y) 1/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5107	1279

prune75.0ms

Filtered

63 candidates to 85 candidates (-34.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

regimes65.0ms

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	38	28
1	38	28

end0.0ms

sample626.0ms

Algorithm

intervals

Results

447.0ms	7999×	body	128	valid
1.0ms	26×	body	128	invalid
1.0ms	22×	body	128	nan
0.0ms	1×	body	256	valid

Details

analyze195.0ms

sample17.0ms

simplify252.0ms

prune1.0ms

localize7.0ms

rewrite23.0ms

series199.0ms

simplify69.0ms

prune46.0ms

localize13.0ms

rewrite23.0ms

series582.0ms

simplify70.0ms

prune66.0ms

localize20.0ms

rewrite30.0ms

series604.0ms

simplify91.0ms

prune69.0ms

localize19.0ms

rewrite25.0ms

series470.0ms

simplify75.0ms

prune75.0ms

regimes65.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample626.0ms

Profiling