Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms520×body80valid

simplify68.0ms

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: 0.3b

localize5.0ms

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*
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:
1.0ms
(exp (* y y))
5.0ms
(* x (exp (* y y)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(exp (* y y))
32.0ms
(* x (exp (* y y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
094143
1335124
21315124
35001124

prune85.0ms

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)
0.2b
(* 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×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp
1×*-commutative cbrt-unprod
Counts
2 → 49
Calls
2 calls:
2.0ms
(pow (exp y) y)
7.0ms
(* x (pow (exp y) y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(pow (exp y) y)
53.0ms
(* x (pow (exp y) y))

simplify112.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0153218
1606198
23014198
35002197

prune127.0ms

Pruning

2 alts after pruning (1 fresh and 1 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
(* 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×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative div-inv
Counts
4 → 123
Calls
4 calls:
3.0ms
(pow (exp y) (/ y 2))
3.0ms
(pow (exp y) (/ y 2))
7.0ms
(* x (pow (exp y) (/ y 2)))
13.0ms
(* (* x (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(pow (exp y) (/ y 2))
34.0ms
(pow (exp y) (/ y 2))
58.0ms
(* x (pow (exp y) (/ y 2)))
66.0ms
(* (* x (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0351791
11501688
25002665

prune315.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))))

rewrite371.0ms

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×expm1-log1p-u pow-to-exp pow-exp *-commutative log1p-expm1-u add-log-exp
3×pow2
1×pow3
Counts
4 → 166
Calls
4 calls:
69.0ms
(* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2)))))
27.0ms
(* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))
254.0ms
(* (* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))) (pow (exp y) (/ y 2)))
15.0ms
(* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2)))))
36.0ms
(* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))
68.0ms
(* (* x (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (cbrt (pow (exp y) (/ y 2))))) (pow (exp y) (/ y 2)))
153.0ms
(* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2))))

simplify101.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
04602626
121152028
250011719

prune411.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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

sample543.0ms

Algorithm
intervals
Results
303.0ms16158×body80valid