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

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid
0.0ms	2×	body	80	nan

simplify171.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	5541	8

prune3.0ms

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))

rewrite22.0ms

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)
7.0ms	(*.f64 x (log.f64 y))

series25.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
7.0ms	(*.f64 x (log.f64 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4941	594
1	4941	594

prune70.0ms

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: 0b

Counts

74 → 7

localize14.0ms

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)

rewrite19.0ms

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))
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)

series73.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
21.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
14.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify30.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5011	480

prune78.0ms

Filtered

60 candidates to 76 candidates (-26.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

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

Merged error: 0b

Counts

83 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
9×	`swap-sqr_binary64` `pow1/3_binary64` `log-pow_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))
7.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (log.f64 y))
26.0ms	(cbrt.f64 (log.f64 y))
46.0ms	(cbrt.f64 (log.f64 y))
53.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5282	500

prune102.0ms

Filtered

57 candidates to 93 candidates (-63.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0b

Counts

100 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)))
0.5b	(cbrt.f64 (pow.f64 (log.f64 y) 2))
0.5b	(cbrt.f64 (log.f64 y))
0.6b	(pow.f64 (log.f64 y) 2)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod_binary64`
14×	`pow1_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`
8×	`unpow-prod-down_binary64`
7×	`associate-r_binary64`
6×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unpow2_binary64` `pow1/3_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `associate-l_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

8.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)))
2.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))
1.0ms	(cbrt.f64 (log.f64 y))
3.0ms	(pow.f64 (log.f64 y) 2)

series77.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)))
30.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))
26.0ms	(cbrt.f64 (log.f64 y))
13.0ms	(pow.f64 (log.f64 y) 2)

simplify80.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4820	531
1	4820	531

prune54.0ms

Filtered

49 candidates to 82 candidates (-67.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	82	7	89

Merged error: 0b

Counts

89 → 7

regimes236.0ms

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	34	17
1	34	17

end0.0ms

sample474.0ms

Algorithm

intervals

Results

301.0ms	7997×	body	80	valid
1.0ms	37×	body	80	invalid
1.0ms	47×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze195.0ms

sample18.0ms

simplify171.0ms

prune3.0ms

localize7.0ms

rewrite22.0ms

series25.0ms

simplify52.0ms

prune70.0ms

localize14.0ms

rewrite19.0ms

series73.0ms

simplify30.0ms

prune78.0ms

localize11.0ms

rewrite13.0ms

series153.0ms

simplify52.0ms

prune102.0ms

localize12.0ms

rewrite17.0ms

series77.0ms

simplify80.0ms

prune54.0ms

regimes236.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample474.0ms

Profiling