Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

357×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	12	3
2	13	3
3	13	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
0.0b	(+ (+ (* x x) y) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

4.0ms	(+ (* x x) y)
6.0ms	(+ (+ (* x x) y) y)

series45.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* x x) y)
27.0ms	(+ (+ (* x x) y) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	136	138
1	511	127
2	1640	121
3	5002	120

prune43.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (+ y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

7.0ms

(+ (* x x) (+ y y))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ (* x x) (+ y y))

simplify57.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	103	83
1	468	74
2	1756	74
3	5002	74

prune22.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y))))
0.6b	(cbrt (+ (* x x) (+ y y)))
0.6b	(cbrt (+ (* x x) (+ y y)))
0.6b	(cbrt (+ (* x x) (+ y y)))

rewrite36.0ms

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:

16.0ms	(* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y))))
6.0ms	(cbrt (+ (* x x) (+ y y)))
6.0ms	(cbrt (+ (* x x) (+ y y)))
6.0ms	(cbrt (+ (* x x) (+ y y)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y))))
89.0ms	(cbrt (+ (* x x) (+ y y)))
89.0ms	(cbrt (+ (* x x) (+ y y)))
90.0ms	(cbrt (+ (* x x) (+ y y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	238	1007
1	845	942
2	3618	884
3	5002	878

prune187.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample378.0ms

Algorithm

intervals

Results

217.0ms

10753×

body

valid