Details

Time bar (total: 2.8s)

sample21.0ms

Algorithm
intervals
Results
11.0ms520×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: 0.3b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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*
1×exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
2 → 28
Calls
2 calls:
1.0ms
(exp (* y y))
4.0ms
(* x (exp (* y y)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(exp (* y y))
27.0ms
(* x (exp (* y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
089130
1321114
21270114
35001114

prune64.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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×pow-to-exp pow-exp add-log-exp
1×*-commutative cbrt-unprod
Counts
2 → 45
Calls
2 calls:
2.0ms
(pow (exp y) y)
7.0ms
(* x (pow (exp y) y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(pow (exp y) y)
48.0ms
(* x (pow (exp y) y))

simplify98.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0148205
1591190
22968190
35001189

prune82.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×add-exp-log add-cube-cbrt *-un-lft-identity
26×pow-unpow
24×prod-exp
18×times-frac
14×associate-*r*
13×unpow-prod-down
11×add-cbrt-cube
10×pow-to-exp pow-exp
8×pow-pow
6×pow1 exp-prod
5×sqr-pow
4×associate-*l* cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative div-inv
Counts
4 → 115
Calls
4 calls:
3.0ms
(pow (exp y) (/ y 2))
3.0ms
(pow (exp y) (/ y 2))
6.0ms
(* x (pow (exp y) (/ y 2)))
13.0ms
(* (* x (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (exp y) (/ y 2))
34.0ms
(pow (exp y) (/ y 2))
54.0ms
(* x (pow (exp y) (/ y 2)))
63.0ms
(* (* x (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))

simplify62.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0343751
11480652
25001629

prune313.0ms

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

rewrite370.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-prod
54×add-exp-log
49×add-sqr-sqrt
40×prod-exp
39×pow1
28×associate-*r*
27×unpow-prod-down
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube cbrt-unprod unswap-sqr
15×pow1/3 associate-*l* sqr-pow
13×pow-prod-down
11×pow-prod-up
10×swap-sqr
7×pow-plus
5×pow-sqr
4×pow-to-exp pow-exp *-commutative add-log-exp
3×pow2
1×pow3
Counts
4 → 158
Calls
4 calls:
66.0ms
(* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2)))))
29.0ms
(* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))
251.0ms
(* (* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))) (pow (exp y) (/ y 2)))
17.0ms
(* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2)))))
37.0ms
(* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))
63.0ms
(* (* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))) (pow (exp y) (/ y 2)))
144.0ms
(* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2))))

simplify89.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
04462508
120731910
250011618

prune340.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
01419
11419

end0.0ms

sample521.0ms

Algorithm
intervals
Results
286.0ms16158×body80valid