Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

506×

body

valid

simplify64.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

12.0ms	(* x (exp (* y y)))
4.0ms	(exp (* y y))

series39.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (exp (* y y)))
9.0ms	(exp (* y y))

simplify44.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

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

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

17.0ms	(* x (pow (exp y) y))
4.0ms	(pow (exp y) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (pow (exp y) y))
31.0ms	(pow (exp y) y)

simplify98.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (94.0ms)

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

prune94.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (expm1 (log1p (pow (exp y) y))))
0.0b	(log1p (pow (exp y) y))
0.0b	(pow (exp y) y)
0.0b	(expm1 (log1p (pow (exp y) y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

6.0ms	(* x (expm1 (log1p (pow (exp y) y))))
0.0ms	(log1p (pow (exp y) y))
4.0ms	(pow (exp y) y)
0.0ms	(expm1 (log1p (pow (exp y) y)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* x (expm1 (log1p (pow (exp y) y))))
86.0ms	(log1p (pow (exp y) y))
31.0ms	(pow (exp y) y)
125.0ms	(expm1 (log1p (pow (exp y) y)))

simplify106.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	176	324
1	645	269
2	2909	267
3	5001	266

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp y) (/ y 2))
0.0b	(pow (exp y) (/ y 2))
0.0b	(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))
0.0b	(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`prod-exp`
27×	`add-exp-log`
26×	`pow-unpow`
24×	`unpow-prod-down`
18×	`times-frac`
14×	`pow-to-exp` `pow-exp`
12×	`sqr-pow`
11×	`add-cbrt-cube`
10×	`associate-l` `unswap-sqr`
8×	`pow1` `pow-pow` `associate-r`
7×	`swap-sqr`
6×	`exp-prod`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`pow2` `pow-sqr` `pow-prod-up`

Counts

4 → 146

Calls

4 calls:

6.0ms	(pow (exp y) (/ y 2))
6.0ms	(pow (exp y) (/ y 2))
37.0ms	(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))
26.0ms	(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (exp y) (/ y 2))
39.0ms	(pow (exp y) (/ y 2))
63.0ms	(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))
55.0ms	(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))

simplify59.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	368	986
1	1529	829
2	5001	770

prune337.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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	8	5
1	8	5

end0.0ms

sample638.0ms

Algorithm

intervals

Results

298.0ms

15906×

body

valid