Details

analyze42.0ms

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%	99.9%	0.1%	3
0%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	2×	body	80	nan
0.0ms	1×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	225	8
1	225	8

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.3b	(* y (sqrt x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 36

Calls

2 calls:

10.0ms	(+ (- 1.0 x) (* y (sqrt x)))
8.0ms	(* y (sqrt x))

series21.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (- 1.0 x) (* y (sqrt x)))
11.0ms	(* y (sqrt x))

simplify61.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4928	360
1	4928	360

prune94.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series94.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
22.0ms	(cbrt y)
22.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5165	356

prune97.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* y (sqrt x)) (- 1.0 x))) (cbrt (+ (* y (sqrt x)) (- 1.0 x))))
0.4b	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))
0.4b	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))
0.4b	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (cbrt (+ (* y (sqrt x)) (- 1.0 x))) (cbrt (+ (* y (sqrt x)) (- 1.0 x))))
6.0ms	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))
6.0ms	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))
6.0ms	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (+ (* y (sqrt x)) (- 1.0 x))) (cbrt (+ (* y (sqrt x)) (- 1.0 x))))
19.0ms	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))
19.0ms	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))
19.0ms	(cbrt (+ (* y (sqrt x)) (- 1.0 x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4944	1898
1	4944	1898

prune208.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt x) (cbrt y))
0.3b	(* (cbrt (* y y)) (* (sqrt x) (cbrt y)))
0.6b	(cbrt y)
26.9b	(cbrt (* y y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log`
10×	`cbrt-prod` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`associate-r` `add-cbrt-cube`
5×	`sqrt-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (sqrt x) (cbrt y))
6.0ms	(* (cbrt (* y y)) (* (sqrt x) (cbrt y)))
1.0ms	(cbrt y)
2.0ms	(cbrt (* y y))

series77.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (sqrt x) (cbrt y))
9.0ms	(* (cbrt (* y y)) (* (sqrt x) (cbrt y)))
25.0ms	(cbrt y)
22.0ms	(cbrt (* y y))

simplify53.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5071	524

prune79.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

regimes156.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample372.0ms

Algorithm

intervals

Results

232.0ms	7999×	body	80	valid
3.0ms	128×	body	80	nan
2.0ms	79×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze42.0ms

sample14.0ms

simplify7.0ms

prune11.0ms

localize10.0ms

rewrite19.0ms

series21.0ms

simplify61.0ms

prune94.0ms

localize9.0ms

rewrite10.0ms

series94.0ms

simplify45.0ms

prune97.0ms

localize10.0ms

rewrite39.0ms

series90.0ms

simplify42.0ms

prune208.0ms

localize11.0ms

rewrite17.0ms

series77.0ms

simplify53.0ms

prune79.0ms

regimes156.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample372.0ms

Profiling