Details

Time bar (total: 3.3s)

sample22.0ms

Algorithm
intervals
Results
11.0ms512×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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*
2×expm1-log1p-u log1p-expm1-u
1×exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
2 → 32
Calls
2 calls:
4.0ms
(exp (* y y))
16.0ms
(* x (exp (* y y)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(exp (* y y))
30.0ms
(* x (exp (* y y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
094143
1335124
21315124
35001124

prune109.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp
1×*-commutative cbrt-unprod
Counts
2 → 49
Calls
2 calls:
7.0ms
(pow (exp y) y)
15.0ms
(* x (pow (exp y) y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(pow (exp y) y)
55.0ms
(* x (pow (exp y) y))

simplify118.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0153218
1606198
23014198
35002197

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
28×prod-exp
27×add-exp-log
26×pow-unpow
24×unpow-prod-down
18×times-frac
14×pow-to-exp pow-exp
12×sqr-pow
11×add-cbrt-cube
10×associate-*l* unswap-sqr
8×pow1 pow-pow associate-*r*
7×swap-sqr
6×exp-prod
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
2×pow-prod-down *-commutative div-inv
1×pow2 pow-sqr pow-prod-up
Counts
4 → 146
Calls
4 calls:
6.0ms
(pow (exp y) (/ y 2))
8.0ms
(pow (exp y) (/ y 2))
25.0ms
(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))
37.0ms
(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(pow (exp y) (/ y 2))
37.0ms
(pow (exp y) (/ y 2))
53.0ms
(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))
66.0ms
(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))

simplify60.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0368986
11529829
25001777

prune561.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (pow (pow (exp y) (/ y 2)) 3)) (pow (exp y) (/ y 2)))
0.0b
(pow (pow (exp y) (/ y 2)) 3)
0.0b
(* x (* (cbrt (pow (pow (exp y) (/ y 2)) 3)) (pow (exp y) (/ y 2))))
0.0b
(cbrt (pow (pow (exp y) (/ y 2)) 3))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
66×unpow-prod-down
64×cbrt-prod
59×add-sqr-sqrt
30×cube-prod
28×sqr-pow
27×unswap-sqr
26×associate-*l*
23×add-cube-cbrt *-un-lft-identity
18×add-exp-log
10×prod-exp add-cbrt-cube
8×associate-*r*
6×pow1 pow-exp
4×expm1-log1p-u pow-to-exp cbrt-unprod log1p-expm1-u add-log-exp
3×cube-mult pow-unpow unpow3
2×*-commutative
1×pow-pow pow1/3 pow-prod-down rem-cbrt-cube rem-cube-cbrt
Counts
4 → 158
Calls
4 calls:
47.0ms
(* (cbrt (pow (pow (exp y) (/ y 2)) 3)) (pow (exp y) (/ y 2)))
7.0ms
(pow (pow (exp y) (/ y 2)) 3)
53.0ms
(* x (* (cbrt (pow (pow (exp y) (/ y 2)) 3)) (pow (exp y) (/ y 2))))
7.0ms
(cbrt (pow (pow (exp y) (/ y 2)) 3))

series229.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (cbrt (pow (pow (exp y) (/ y 2)) 3)) (pow (exp y) (/ y 2)))
66.0ms
(pow (pow (exp y) (/ y 2)) 3)
68.0ms
(* x (* (cbrt (pow (pow (exp y) (/ y 2)) 3)) (pow (exp y) (/ y 2))))
42.0ms
(cbrt (pow (pow (exp y) (/ y 2)) 3))

simplify88.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
04001547
119411287
250021226

prune551.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes53.0ms

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
01310
11310

end0.0ms

sample596.0ms

Algorithm
intervals
Results
336.0ms15866×body80valid