Details

analyze194.0ms

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

9.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify171.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	5541	8

prune5.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
8.0ms	(*.f64 x (log.f64 y))

simplify63.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5166	427

prune29.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0.0b

Counts

54 → 3

localize12.0ms

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)

rewrite20.0ms

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)
2.0ms	(cbrt.f64 y)

series77.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
25.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)

simplify30.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5011	480

prune49.0ms

Filtered

62 candidates to 76 candidates (-22.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.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)

rewrite22.0ms

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)

series73.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
27.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
14.0ms	(cbrt.f64 y)
16.0ms	(pow.f64 y 1/3)

simplify74.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4848	587
1	4848	587

prune52.0ms

Filtered

65 candidates to 100 candidates (-53.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 x (log.f64 (pow.f64 (sqrt.f64 y) 1/3))))
0.2b	(.f64 x (.f64 (log.f64 y) 5/6))
0.4b	(*.f64 (log.f64 y) 5/6)
4.1b	(pow.f64 (sqrt.f64 y) 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod_binary64` `associate-+r+_binary64`
18×	`unpow-prod-down_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`pow1_binary64`
12×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`sqrt-prod_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `sqr-pow_binary64`
2×	`*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64`

Counts

4 → 93

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 x (log.f64 (pow.f64 (sqrt.f64 y) 1/3))))
6.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
4.0ms	(*.f64 (log.f64 y) 5/6)
3.0ms	(pow.f64 (sqrt.f64 y) 1/3)

series60.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 x (log.f64 (pow.f64 (sqrt.f64 y) 1/3))))
8.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
9.0ms	(*.f64 (log.f64 y) 5/6)
10.0ms	(pow.f64 (sqrt.f64 y) 1/3)

simplify61.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5026	923

prune59.0ms

Filtered

71 candidates to 105 candidates (-47.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

regimes138.0ms

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	37	18
1	37	18

end0.0ms

sample476.0ms

Algorithm

intervals

Results

302.0ms	7999×	body	80	valid
1.0ms	31×	body	80	invalid
1.0ms	34×	body	80	nan
0.0ms	1×	body	1280	valid

Details

analyze194.0ms

sample17.0ms

simplify171.0ms

prune5.0ms

localize6.0ms

rewrite15.0ms

series17.0ms

simplify63.0ms

prune29.0ms

localize12.0ms

rewrite20.0ms

series77.0ms

simplify30.0ms

prune49.0ms

localize19.0ms

rewrite22.0ms

series73.0ms

simplify74.0ms

prune52.0ms

localize18.0ms

rewrite28.0ms

series60.0ms

simplify61.0ms

prune59.0ms

regimes138.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample476.0ms

Profiling