Details

Time bar (total: 4.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms379×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* x y))
0.0b
(* (fma x x (* x y)) 2.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* x y))
7.0ms
(* (fma x x (* x y)) 2.0)

series94.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(fma x x (* x y))
53.0ms
(* (fma x x (* x y)) 2.0)

simplify84.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
087151
1328132
22448132
35001132

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
11.4b
(cbrt (fma x x (* x y)))
11.4b
(cbrt (fma x x (* x y)))
11.4b
(cbrt (fma x x (* x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
1.0ms
(cbrt (fma x x (* x y)))
1.0ms
(cbrt (fma x x (* x y)))
1.0ms
(cbrt (fma x x (* x y)))

series829.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
202.0ms
(cbrt (fma x x (* x y)))
204.0ms
(cbrt (fma x x (* x y)))
206.0ms
(cbrt (fma x x (* x y)))

simplify158.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 4 (149.0ms)

IterNodesCost
0132610
1424559
21512505
34133500
45001475

prune257.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow y 2/3) (pow x 2/3))
2.7b
(pow y 2/3)
3.0b
(pow x 2/3)
11.4b
(cbrt (fma x x (* x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×add-exp-log unpow-prod-down
13×add-cube-cbrt *-un-lft-identity
10×sqr-pow
9×prod-exp unswap-sqr
8×pow-to-exp pow-exp
7×associate-*r* associate-*l*
6×pow1 pow-unpow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod
2×pow-pow
1×pow1/3 pow-prod-down *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
16.0ms
(* (pow y 2/3) (pow x 2/3))
3.0ms
(pow y 2/3)
3.0ms
(pow x 2/3)
1.0ms
(cbrt (fma x x (* x y)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (pow y 2/3) (pow x 2/3))
180.0ms
(pow y 2/3)
186.0ms
(pow x 2/3)
193.0ms
(cbrt (fma x x (* x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0317450
11160427
25001396

prune319.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.3b
(pow y 1/3)
2.5b
(pow x 1/3)
2.7b
(pow y 2/3)
3.0b
(pow x 2/3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down pow-unpow *-un-lft-identity
8×pow1 add-exp-log
4×expm1-log1p-u pow-to-exp pow-pow pow-exp add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
2×unpow1/3
Counts
4 → 78
Calls
4 calls:
2.0ms
(pow y 1/3)
2.0ms
(pow x 1/3)
2.0ms
(pow y 2/3)
3.0ms
(pow x 2/3)

series763.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(pow y 1/3)
191.0ms
(pow x 1/3)
189.0ms
(pow y 2/3)
195.0ms
(pow x 2/3)

simplify108.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0238204
1759192
23057188
35001178

prune275.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

end0.0ms

sample442.0ms

Algorithm
intervals
Results
223.0ms11076×body80valid