Details

analyze311.0ms

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

12.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify169.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	5541	8

prune2.0ms

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))

rewrite20.0ms

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))

series27.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
7.0ms	(*.f64 x (log.f64 y))

simplify80.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4941	594
1	4941	594

prune44.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize12.0ms

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)

rewrite21.0ms

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)

series73.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
22.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify31.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5011	480

prune50.0ms

Filtered

62 candidates to 76 candidates (-22.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

localize19.0ms

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)
5.1b	(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)))
10.0ms	(+.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)

series76.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
31.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
15.0ms	(cbrt.f64 y)
14.0ms	(pow.f64 y 1/3)

simplify77.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4848	587
1	4848	587

prune55.0ms

Filtered

64 candidates to 100 candidates (-56.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	99	7	106

Merged error: 0b

Counts

106 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series71.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (cbrt.f64 y))
15.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify40.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5118	242

prune33.0ms

Filtered

48 candidates to 59 candidates (-22.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	59	7	66

Merged error: 0b

Counts

66 → 7

regimes172.0ms

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

sample519.0ms

Algorithm

intervals

Results

330.0ms	7998×	body	80	valid
1.0ms	36×	body	80	nan
1.0ms	25×	body	80	invalid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

Details

analyze311.0ms

sample20.0ms

simplify169.0ms

prune2.0ms

localize7.0ms

rewrite20.0ms

series27.0ms

simplify80.0ms

prune44.0ms

localize12.0ms

rewrite21.0ms

series73.0ms

simplify31.0ms

prune50.0ms

localize19.0ms

rewrite22.0ms

series76.0ms

simplify77.0ms

prune55.0ms

localize16.0ms

rewrite7.0ms

series71.0ms

simplify40.0ms

prune33.0ms

regimes172.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample519.0ms

Profiling