Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

511×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	21	3
3	48	3
4	133	3
5	437	3
6	1926	3
7	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 (exp (* y y)))
0.0b	(exp (* y y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

5.0ms	(* x (exp (* y y)))
2.0ms	(exp (* y y))

series50.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (exp (* y y)))
12.0ms	(exp (* y y))

simplify56.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	94	143
1	335	124
2	1315	124
3	5001	124

prune84.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	2	39

Merged error: 0.0b

Counts

39 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (pow (exp y) y))
0.0b	(pow (exp y) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-r`
6×	`add-exp-log`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `exp-prod` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`
1×	`*-commutative` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

9.0ms	(* x (pow (exp y) y))
4.0ms	(pow (exp y) y)

series95.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* x (pow (exp y) y))
35.0ms	(pow (exp y) y)

simplify117.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	153	218
1	606	198
2	3014	198
3	5001	197

prune124.0ms

Filtered

55 candidates to 36 candidates (65.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 0.0b

Counts

57 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp y))
0.0b	(cbrt (exp y))
0.0b	(cbrt (exp y))
0.0b	(* (cbrt (exp y)) (cbrt (exp y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

2.0ms	(cbrt (exp y))
2.0ms	(cbrt (exp y))
2.0ms	(cbrt (exp y))
7.0ms	(* (cbrt (exp y)) (cbrt (exp y)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (exp y))
84.0ms	(cbrt (exp y))
85.0ms	(cbrt (exp y))
104.0ms	(* (cbrt (exp y)) (cbrt (exp y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	120	459
1	391	422
2	1827	389
3	5001	361

prune272.0ms

Filtered

93 candidates to 64 candidates (68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp y))
0.0b	(cbrt (exp y))
0.0b	(cbrt (exp y))
0.0b	(* (* (* (cbrt (cbrt (exp y))) (cbrt (cbrt (exp y)))) (cbrt (cbrt (exp y)))) (cbrt (exp y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1/3`
15×	`pow1`
13×	`add-exp-log`
12×	`cbrt-prod`
10×	`add-cube-cbrt`
9×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down`
8×	`pow-prod-up`
6×	`associate-r` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus` `pow-sqr`
1×	`swap-sqr` `associate-l` `*-commutative`

Counts

4 → 71

Calls

4 calls:

2.0ms	(cbrt (exp y))
5.0ms	(cbrt (exp y))
2.0ms	(cbrt (exp y))
17.0ms	(* (* (* (cbrt (cbrt (exp y))) (cbrt (cbrt (exp y)))) (cbrt (cbrt (exp y)))) (cbrt (exp y)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (exp y))
84.0ms	(cbrt (exp y))
86.0ms	(cbrt (exp y))
105.0ms	(* (* (* (cbrt (cbrt (exp y))) (cbrt (cbrt (exp y)))) (cbrt (cbrt (exp y)))) (cbrt (exp y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	183	659
1	741	504
2	5001	381

prune283.0ms

Filtered

83 candidates to 60 candidates (72.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0.0b

Counts

86 → 3

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms

sample556.0ms

Algorithm

intervals

Results

307.0ms

15574×

body

valid