Details

analyze199.0ms

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

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

128

valid

simplify247.0ms

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

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

series208.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
64.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
58.0ms	(*.f64 x (log.f64 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4957	917
1	4957	917

prune51.0ms

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:

0.2b	(.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)

rewrite24.0ms

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)

series605.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
141.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
152.0ms	(cbrt.f64 y)
176.0ms	(cbrt.f64 y)

simplify72.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4974	760
1	4974	760

prune70.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	78	5	83

Merged error: 0b

Counts

83 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-+r+_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

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

series609.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
194.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
165.0ms	(cbrt.f64 y)
138.0ms	(pow.f64 y 1/3)

simplify73.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4838	720
1	4838	720

prune64.0ms

Filtered

59 candidates to 83 candidates (-40.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 1/3 (.f64 (log.f64 y) 5/2))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
0.3b	(*.f64 (log.f64 y) 5/2)
0.3b	(.f64 1/3 (.f64 (log.f64 y) 5/2))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 1/3 (.f64 (log.f64 y) 5/2))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
4.0ms	(*.f64 (log.f64 y) 5/2)
5.0ms	(.f64 1/3 (.f64 (log.f64 y) 5/2))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series466.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+.f64 (.f64 x (.f64 1/3 (.f64 (log.f64 y) 5/2))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
94.0ms	(*.f64 (log.f64 y) 5/2)
96.0ms	(.f64 1/3 (.f64 (log.f64 y) 5/2))
109.0ms	(cbrt.f64 (sqrt.f64 y))

simplify70.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	885
1	4970	885

prune57.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0b

Counts

79 → 5

regimes59.0ms

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

sample620.0ms

Algorithm

intervals

Results

444.0ms	7996×	body	128	valid
1.0ms	37×	body	128	invalid
1.0ms	34×	body	128	nan
1.0ms	2×	body	2048	valid
0.0ms	2×	body	512	valid

Details

analyze199.0ms

sample20.0ms

simplify247.0ms

prune1.0ms

localize7.0ms

rewrite23.0ms

series208.0ms

simplify71.0ms

prune51.0ms

localize13.0ms

rewrite24.0ms

series605.0ms

simplify72.0ms

prune70.0ms

localize22.0ms

rewrite24.0ms

series609.0ms

simplify73.0ms

prune64.0ms

localize16.0ms

rewrite26.0ms

series466.0ms

simplify70.0ms

prune57.0ms

regimes59.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample620.0ms

Profiling