Details

Time bar (total: 1.9s)

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
750023

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×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
4.0ms
(* x (exp (* y y)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* x (exp (* y y)))

simplify150.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07494
127381
2101581
3490981
4500181

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

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)))

rewrite28.0ms

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×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 73
Calls
4 calls:
19.0ms
(* (* 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)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
39.0ms
(* x (sqrt (exp (* y y))))
21.0ms
(sqrt (exp (* y y)))
20.0ms
(sqrt (exp (* y y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0164464
1785404
23042392
35001392

prune162.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite36.0ms

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×exp-prod pow-pow associate-*l* cbrt-unprod
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 → 92
Calls
4 calls:
3.0ms
(pow (exp y) (/ y 2))
18.0ms
(* (* x (pow (exp y) (/ y 2))) (sqrt (exp (* y y))))
2.0ms
(sqrt (exp (* y y)))
11.0ms
(* x (pow (exp y) (/ y 2)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (exp y) (/ y 2))
87.0ms
(* (* x (pow (exp y) (/ y 2))) (sqrt (exp (* y y))))
19.0ms
(sqrt (exp (* y y)))
64.0ms
(* x (pow (exp y) (/ y 2)))

simplify44.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0328627
11504570
25002541

prune234.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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

sample580.0ms

Algorithm
intervals
Results
328.0ms15855×body80valid