Details

Time bar (total: 4.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms542×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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)))

simplify151.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07494
127381
2101581
3490981
4500181

prune48.0ms

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-sqr-sqrt
22×cbrt-prod
20×add-exp-log
16×add-cube-cbrt *-un-lft-identity
13×associate-*r*
11×pow-prod-down add-cbrt-cube
10×associate-*l* prod-exp cbrt-unprod
7×pow1/3
6×swap-sqr
5×unswap-sqr
4×add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
43.0ms
(* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))
12.0ms
(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
7.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (exp (* y y)))
36.0ms
(* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))
95.0ms
(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
125.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0248993
11139807
25002693

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
0.0b
(* x (* (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (pow (cbrt (cbrt (exp (* y y)))) 4)))
0.0b
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))
0.0b
(pow (cbrt (cbrt (exp (* y y)))) 4)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
25×add-sqr-sqrt
17×add-exp-log add-cube-cbrt *-un-lft-identity
14×pow1
9×unpow-prod-down associate-*l*
8×pow1/3 prod-exp add-cbrt-cube
7×associate-*r*
6×swap-sqr
4×cbrt-unprod add-log-exp unswap-sqr
3×pow-unpow pow-prod-down
2×pow-to-exp pow-pow pow-exp pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus sqr-pow
Counts
4 → 92
Calls
4 calls:
3.0ms
(cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
20.0ms
(* x (* (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (pow (cbrt (cbrt (exp (* y y)))) 4)))
7.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))
3.0ms
(pow (cbrt (cbrt (exp (* y y)))) 4)

series500.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
94.0ms
(* x (* (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (pow (cbrt (cbrt (exp (* y y)))) 4)))
137.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))
136.0ms
(pow (cbrt (cbrt (exp (* y y)))) 4)

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03111026
11228898
25001822

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))
0.0b
(pow (cbrt (cbrt (exp (* y y)))) (* (cbrt 4) (cbrt 4)))
0.0b
(pow (pow (cbrt (cbrt (exp (* y y)))) (* (cbrt 4) (cbrt 4))) (cbrt 4))
1.0b
(* (cbrt 4) (cbrt 4))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
45×add-sqr-sqrt
31×unpow-prod-down
29×add-cube-cbrt *-un-lft-identity
19×pow1
13×pow1/3
12×swap-sqr associate-*r* associate-*l*
11×add-exp-log
8×unswap-sqr
7×pow-unpow
5×pow-exp
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
3×pow-to-exp pow-pow sqr-pow
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
7.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))
3.0ms
(pow (cbrt (cbrt (exp (* y y)))) (* (cbrt 4) (cbrt 4)))
6.0ms
(pow (pow (cbrt (cbrt (exp (* y y)))) (* (cbrt 4) (cbrt 4))) (cbrt 4))
6.0ms
(* (cbrt 4) (cbrt 4))

series943.0ms

Counts
4 → 10
Calls
4 calls:
125.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))
291.0ms
(pow (cbrt (cbrt (exp (* y y)))) (* (cbrt 4) (cbrt 4)))
527.0ms
(pow (pow (cbrt (cbrt (exp (* y y)))) (* (cbrt 4) (cbrt 4))) (cbrt 4))
0.0ms
(* (cbrt 4) (cbrt 4))

simplify56.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
03731357
116001275
250011157

prune661.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
11619

end0.0ms

sample536.0ms

Algorithm
intervals
Results
295.0ms15987×body80valid