Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

355×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune7.0ms

Filtered

1 candidates to 1 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 → 2

localize10.0ms

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)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
26×	`fma-def`
20×	`associate-l`
17×	`add-sqr-sqrt`
12×	`distribute-lft-out`
11×	`add-cube-cbrt`
9×	`associate-r`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `flip3-+` `*-commutative` `flip-+` `log1p-expm1-u` `unswap-sqr`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

3 → 82

Calls

3 calls:

8.0ms	(+ (* x y) z)
16.0ms	(+ (* (+ (* x y) z) y) t)
10.0ms	(* (+ (* x y) z) y)

series119.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* x y) z)
63.0ms	(+ (* (+ (* x y) z) y) t)
34.0ms	(* (+ (* x y) z) y)

simplify101.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	219	276
1	730	244
2	4357	236
3	5001	234

prune144.0ms

Filtered

91 candidates to 69 candidates (24.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
11.4b	(cbrt (* x y))
11.4b	(cbrt (* x y))
11.4b	(cbrt (* x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 145

Calls

4 calls:

13.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series298.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
70.0ms	(cbrt (* x y))
70.0ms	(cbrt (* x y))
69.0ms	(cbrt (* x y))

simplify79.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	277	963
1	987	905
2	3701	821
3	5001	790

prune326.0ms

Filtered

157 candidates to 113 candidates (28.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	157	6	163

Merged error: 0.0b

Counts

163 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt y))
8.2b	(cbrt (* x (* (cbrt y) (cbrt y))))
11.4b	(cbrt (* x y))
11.4b	(cbrt (* x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

99×	`cbrt-prod`
57×	`add-sqr-sqrt`
39×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`unswap-sqr`
15×	`associate-l`
8×	`swap-sqr`
5×	`*-commutative`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 114

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
14.0ms	(cbrt (* x (* (cbrt y) (cbrt y))))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (cbrt y))
200.0ms	(cbrt (* x (* (cbrt y) (cbrt y))))
70.0ms	(cbrt (* x y))
70.0ms	(cbrt (* x y))

simplify83.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	342	839
1	960	813
2	3848	773
3	5002	769

prune361.0ms

Filtered

126 candidates to 92 candidates (27.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow (cbrt (* x y)) 1) (cbrt (* x y)))
11.4b	(cbrt (* x y))
11.4b	(cbrt (* x y))
11.4b	(cbrt (* x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
67×	`add-sqr-sqrt`
34×	`associate-l`
30×	`associate-r`
28×	`unswap-sqr`
24×	`unpow-prod-down`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
13×	`pow1`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`*-commutative`
5×	`pow1/3`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-pow` `pow-prod-down` `prod-exp` `pow-prod-up`
2×	`pow-plus` `cbrt-unprod`
1×	`pow-to-exp` `pow-unpow` `pow-exp` `pow-sqr`

Counts

4 → 139

Calls

4 calls:

16.0ms	(* (pow (cbrt (* x y)) 1) (cbrt (* x y)))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (pow (cbrt (* x y)) 1) (cbrt (* x y)))
72.0ms	(cbrt (* x y))
71.0ms	(cbrt (* x y))
68.0ms	(cbrt (* x y))

simplify47.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	358	835
1	1385	773
2	5001	725

prune345.0ms

Filtered

151 candidates to 114 candidates (24.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	151	6	157

Merged error: 0.0b

Counts

157 → 6

regimes163.0ms

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

sample524.0ms

Algorithm

intervals

Results

262.0ms

11270×

body

valid