Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	271	3
10	503	3
11	1614	3
12	5001	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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`+-commutative`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `associate-+r+` `distribute-lft-in` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

10.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series53.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (* y (+ z x)))
26.0ms	(* y (+ z x))

simplify90.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	178
1	756	163
2	3757	163
3	5001	163

prune55.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 98

Calls

4 calls:

10.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))

series615.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
152.0ms	(cbrt (+ z x))
131.0ms	(cbrt (+ z x))
139.0ms	(cbrt (+ z x))

simplify140.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	260	708
1	948	660
2	4776	593
3	5001	589

prune182.0ms

Filtered

110 candidates to 75 candidates (68.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* y (+ z x)) 3)))
0.0b	(* y (+ z x))
0.3b	(pow (* y (+ z x)) 3)
35.9b	(cbrt (pow (* y (+ z x)) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
23×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`cbrt-prod`
14×	`add-cube-cbrt`
12×	`associate-r`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow-unpow` `distribute-lft-out`
3×	`+-commutative` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `pow-exp` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `sum-log`

Counts

4 → 97

Calls

4 calls:

10.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
6.0ms	(* y (+ z x))
6.0ms	(pow (* y (+ z x)) 3)
7.0ms	(cbrt (pow (* y (+ z x)) 3))

series128.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
26.0ms	(* y (+ z x))
47.0ms	(pow (* y (+ z x)) 3)
25.0ms	(cbrt (pow (* y (+ z x)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	353	484
1	1859	441
2	5001	434

prune129.0ms

Filtered

109 candidates to 65 candidates (59.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Merged error: 0b

Counts

112 → 3

regimes63.0ms

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	9	3
1	9	3

end0.0ms

sample383.0ms

Algorithm

intervals

Results

185.0ms

10034×

body

valid