Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

376×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

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

series118.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* x y) z)
62.0ms	(+ (* (+ (* x y) z) y) t)
34.0ms	(* (+ (* x y) z) y)

simplify106.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune107.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.5b	(cbrt (* (+ (* x y) z) y))
7.5b	(cbrt (* (+ (* x y) z) y))
7.5b	(cbrt (* (+ (* x y) z) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))

series545.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
126.0ms	(cbrt (* (+ (* x y) z) y))
130.0ms	(cbrt (* (+ (* x y) z) y))
128.0ms	(cbrt (* (+ (* x y) z) y))

simplify139.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	354	828
1	1098	762
2	4863	684
3	5001	684

prune237.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
7.5b	(cbrt (* (+ (* x y) z) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`associate-*l/`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (* (+ (* x y) z) y))

series511.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
106.0ms	(cbrt (+ (* x y) z))
102.0ms	(cbrt (+ (* x y) z))
125.0ms	(cbrt (* (+ (* x y) z) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	278	380
1	702	354
2	2505	331
3	5002	328

prune220.0ms

Filtered

60 candidates to 55 candidates (91.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	59	9	68

Merged error: 0b

Counts

68 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

11.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))

series448.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
103.0ms	(cbrt (+ (* x y) z))
114.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))

simplify140.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	267	831
1	930	778
2	4394	715
3	5001	710

prune236.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	99	9	108

Merged error: 0b

Counts

108 → 9

regimes215.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4

end0.0ms

sample820.0ms

Algorithm

intervals

Results

539.0ms

11401×

body

valid