Details

Time bar (total: 2.0s)

sample34.0ms

Algorithm
intervals
Results
17.0ms502×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2213
3483
41333
54373
619263
750013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
4.0ms
(* x (exp (* y y)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* x (exp (* y y)))

simplify145.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
076102
127987
2102887
3494787
4500187

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×sqrt-pow1 add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
6.0ms
(* x (sqrt (exp (* y y))))
1.0ms
(sqrt (exp (* y y)))
1.0ms
(sqrt (exp (* y y)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
42.0ms
(* x (sqrt (exp (* y y))))
19.0ms
(sqrt (exp (* y y)))
20.0ms
(sqrt (exp (* y y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0172504
1797444
23079432
35001429

prune188.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log
13×pow-unpow associate-*r*
11×add-cbrt-cube
10×prod-exp
9×times-frac
8×pow1
7×unpow-prod-down
6×sqrt-prod
5×add-log-exp
4×expm1-log1p-u exp-prod pow-pow associate-*l* cbrt-unprod log1p-expm1-u
3×pow-to-exp sqrt-pow1 pow-exp unswap-sqr sqr-pow
2×*-commutative
1×rem-sqrt-square exp-to-pow pow1/2 pow-prod-down div-inv
Counts
4 → 100
Calls
4 calls:
3.0ms
(pow (exp y) (/ y 2))
15.0ms
(* (* x (pow (exp y) (/ y 2))) (sqrt (exp (* y y))))
1.0ms
(sqrt (exp (* y y)))
7.0ms
(* x (pow (exp y) (/ y 2)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(pow (exp y) (/ y 2))
91.0ms
(* (* x (pow (exp y) (/ y 2))) (sqrt (exp (* y y))))
24.0ms
(sqrt (exp (* y y)))
54.0ms
(* x (pow (exp y) (/ y 2)))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0338667
11523601
25001577

prune284.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

sample573.0ms

Algorithm
intervals
Results
327.0ms15855×body80valid