Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
9.0ms341×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
192
292

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x y) y)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
6.0ms
(* (* x y) y)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (* x y) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
09778
146863
2208963
3500162

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

12.0b
(* x (pow y 2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(* x (pow y 2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* x (pow y 2))

simplify74.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0109108
140893
2200293
3500192

prune243.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

6.6b
(* x (* (cbrt (pow y 2)) (cbrt (pow y 2))))
28.1b
(cbrt (pow y 2))
28.1b
(cbrt (pow y 2))
28.1b
(cbrt (pow y 2))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log unpow-prod-down
7×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod unpow2 sqr-pow
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 75
Calls
4 calls:
15.0ms
(* x (* (cbrt (pow y 2)) (cbrt (pow y 2))))
1.0ms
(cbrt (pow y 2))
1.0ms
(cbrt (pow y 2))
5.0ms
(cbrt (pow y 2))

series612.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* x (* (cbrt (pow y 2)) (cbrt (pow y 2))))
182.0ms
(cbrt (pow y 2))
178.0ms
(cbrt (pow y 2))
172.0ms
(cbrt (pow y 2))

simplify59.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0153423
1449354
21434334
35001325

prune199.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

27.2b
(sqrt (pow y 2))
27.2b
(sqrt (pow y 2))
28.1b
(cbrt (pow y 2))
28.1b
(cbrt (pow y 2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod add-sqr-sqrt sqrt-prod
14×unpow-prod-down
12×add-cube-cbrt *-un-lft-identity
8×rem-sqrt-square
6×unpow2 sqr-pow
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2 pow1/3
Counts
4 → 82
Calls
4 calls:
2.0ms
(sqrt (pow y 2))
2.0ms
(sqrt (pow y 2))
1.0ms
(cbrt (pow y 2))
1.0ms
(cbrt (pow y 2))

series374.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (pow y 2))
8.0ms
(sqrt (pow y 2))
177.0ms
(cbrt (pow y 2))
181.0ms
(cbrt (pow y 2))

simplify218.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
089298
1212256
2731248
34576246
45001246

prune285.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample339.0ms

Algorithm
intervals
Results
173.0ms10696×body80valid