Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

511×

body

valid

simplify69.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

9.0ms	(* x (exp (* y y)))
5.0ms	(exp (* y y))

series41.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (exp (* y y)))
10.0ms	(exp (* y y))

simplify66.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	139	181
1	470	161
2	2158	156
3	5002	156

prune98.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Merged error: 0.0b

Counts

54 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

7.0ms	(* x (pow (exp y) y))
3.0ms	(pow (exp y) y)

series85.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (pow (exp y) y))
31.0ms	(pow (exp y) y)

simplify116.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	153	225
1	606	204
2	3014	204
3	5001	203

prune105.0ms

Filtered

58 candidates to 36 candidates (62.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Merged error: 0.0b

Counts

60 → 3

localize10.0ms

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)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

2.0ms	(cbrt (exp y))
2.0ms	(cbrt (exp y))
2.0ms	(cbrt (exp y))
9.0ms	(* (cbrt (exp y)) (cbrt (exp y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (exp y))
79.0ms	(cbrt (exp y))
78.0ms	(cbrt (exp y))
93.0ms	(* (cbrt (exp y)) (cbrt (exp y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	129	496
1	419	448
2	2107	395
3	5002	367

prune251.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

localize14.0ms

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	(pow (sqrt (cbrt (exp y))) 3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`unpow-prod-down` `cube-prod`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`sqrt-pow1`
1×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

2.0ms	(cbrt (exp y))
2.0ms	(cbrt (exp y))
2.0ms	(cbrt (exp y))
5.0ms	(pow (sqrt (cbrt (exp y))) 3)

series329.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (exp y))
77.0ms	(cbrt (exp y))
77.0ms	(cbrt (exp y))
98.0ms	(pow (sqrt (cbrt (exp y))) 3)

simplify258.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	192	431
1	676	391
2	4745	342
3	5001	342

prune271.0ms

Filtered

92 candidates to 59 candidates (64.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

regimes65.0ms

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	15	14
1	15	14

end0.0ms

sample552.0ms

Algorithm

intervals

Results

298.0ms

15574×

body

valid