Details

Time bar (total: 3.4s)

sample29.0ms

Algorithm
intervals
Results
17.0ms542×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2213
3483
41333
54373
619263
750023

prune4.0ms

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)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* x (exp (* y y)))

simplify147.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07494
127381
2101581
3490981
4500181

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:
1.0ms
(sqrt (exp (* y y)))
1.0ms
(sqrt (exp (* y y)))
6.0ms
(* x (sqrt (exp (* y y))))
16.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (exp (* y y)))
4.0ms
(sqrt (exp (* y y)))
12.0ms
(* x (sqrt (exp (* y y))))
9.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0164464
1785404
23051392
35001392

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (sqrt (exp (* y y))))) (cbrt (* x (sqrt (exp (* y y))))))
0.6b
(cbrt (* x (sqrt (exp (* y y)))))
0.6b
(cbrt (* x (sqrt (exp (* y y)))))
0.6b
(cbrt (* x (sqrt (exp (* y y)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* x (sqrt (exp (* y y))))) (cbrt (* x (sqrt (exp (* y y))))))
3.0ms
(cbrt (* x (sqrt (exp (* y y)))))
3.0ms
(cbrt (* x (sqrt (exp (* y y)))))
3.0ms
(cbrt (* x (sqrt (exp (* y y)))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (* x (sqrt (exp (* y y))))) (cbrt (* x (sqrt (exp (* y y))))))
28.0ms
(cbrt (* x (sqrt (exp (* y y)))))
27.0ms
(cbrt (* x (sqrt (exp (* y y)))))
27.0ms
(cbrt (* x (sqrt (exp (* y y)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0174584
1655495
23159446
35001437

prune532.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp (* y y)))
0.0b
(* (sqrt x) (sqrt (exp (* y y))))
0.0b
(* (* (sqrt x) (* (sqrt x) (sqrt (exp (* y y))))) (sqrt (exp (* y y))))
0.2b
(* (sqrt x) (* (sqrt x) (sqrt (exp (* y y)))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
22×add-sqr-sqrt pow-prod-down
20×add-exp-log add-cbrt-cube
19×sqrt-prod
13×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
12×sqrt-pow1
10×pow1/2 prod-exp cbrt-unprod
6×sqrt-unprod
5×add-log-exp
4×unswap-sqr
3×*-commutative
1×rem-sqrt-square exp-prod exp-to-pow
Counts
4 → 96
Calls
4 calls:
1.0ms
(sqrt (exp (* y y)))
8.0ms
(* (sqrt x) (sqrt (exp (* y y))))
60.0ms
(* (* (sqrt x) (* (sqrt x) (sqrt (exp (* y y))))) (sqrt (exp (* y y))))
17.0ms
(* (sqrt x) (* (sqrt x) (sqrt (exp (* y y)))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (exp (* y y)))
16.0ms
(* (sqrt x) (sqrt (exp (* y y))))
10.0ms
(* (* (sqrt x) (* (sqrt x) (sqrt (exp (* y y))))) (sqrt (exp (* y y))))
14.0ms
(* (sqrt x) (* (sqrt x) (sqrt (exp (* y y)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0377812
11838645
25001629

prune538.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes221.0ms

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)

IterNodesCost
063
163

end0.0ms

sample772.0ms

Algorithm
intervals
Results
518.0ms15987×body80valid