Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4761	7
1	4761	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (pow x 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`cube-mult`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `flip3-+` `unpow3` `distribute-rgt1-in` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

5.0ms

(+ (* x x) (pow x 3))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* x x) (pow x 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4954	140
1	4954	140

prune26.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x x) (pow x 3))) (cbrt (+ (* x x) (pow x 3))))
26.3b	(cbrt (+ (* x x) (pow x 3)))
26.3b	(cbrt (+ (* x x) (pow x 3)))
26.3b	(cbrt (+ (* x x) (pow x 3)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
16×	`cube-mult`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`distribute-rgt-out` `flip3-+` `pow1/3` `unpow3` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
7×	`distribute-rgt1-in`
6×	`add-exp-log`
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 → 107

Calls

4 calls:

15.0ms	(* (cbrt (+ (* x x) (pow x 3))) (cbrt (+ (* x x) (pow x 3))))
5.0ms	(cbrt (+ (* x x) (pow x 3)))
5.0ms	(cbrt (+ (* x x) (pow x 3)))
5.0ms	(cbrt (+ (* x x) (pow x 3)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x x) (pow x 3))) (cbrt (+ (* x x) (pow x 3))))
7.0ms	(cbrt (+ (* x x) (pow x 3)))
7.0ms	(cbrt (+ (* x x) (pow x 3)))
7.0ms	(cbrt (+ (* x x) (pow x 3)))

simplify92.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4953	1617
1	4953	1617

prune236.0ms

Filtered

86 candidates to 119 candidates (-38.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow x 6) (pow (+ x 1) 3))
0.0b	(pow (+ x 1) 3)
21.0b	(cbrt (* (pow x 6) (pow (+ x 1) 3)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-exp-log`
14×	`associate-r`
12×	`unswap-sqr`
11×	`add-cube-cbrt` `cube-prod`
10×	`sqr-pow`
9×	`prod-exp`
7×	`pow-to-exp` `associate-l` `pow-exp`
6×	`cube-div` `add-cbrt-cube`
4×	`pow1` `associate-*r/` `distribute-lft-out`
3×	`pow-unpow` `flip3-+` `flip-+` `add-log-exp`
2×	`cube-mult` `cbrt-div` `unpow3`
1×	`cbrt-prod` `pow-pow` `pow1/3` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

3 → 91

Calls

3 calls:

10.0ms	(* (pow x 6) (pow (+ x 1) 3))
4.0ms	(pow (+ x 1) 3)
6.0ms	(cbrt (* (pow x 6) (pow (+ x 1) 3)))

series13.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (pow x 6) (pow (+ x 1) 3))
2.0ms	(pow (+ x 1) 3)
7.0ms	(cbrt (* (pow x 6) (pow (+ x 1) 3)))

simplify49.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4917	986
1	4917	986

prune106.0ms

Filtered

55 candidates to 100 candidates (-81.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Merged error: 0b

Counts

103 → 3

regimes26.0ms

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	7
1	6	7

end0.0ms

sample364.0ms

Algorithm

intervals

Results

137.0ms	8000×	body	80	valid
99.0ms	8000×	pre	80	true

Details

sample23.0ms

simplify106.0ms

prune5.0ms

localize4.0ms

rewrite5.0ms

series6.0ms

simplify44.0ms

prune26.0ms

localize8.0ms

rewrite33.0ms

series31.0ms

simplify92.0ms

prune236.0ms

localize7.0ms

rewrite22.0ms

series13.0ms

simplify49.0ms

prune106.0ms

regimes26.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample364.0ms

Profiling