Details

Time bar (total: 2.9s)

sample11.0ms

Algorithm
intervals
Results
4.0ms350×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

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:
7.0ms
(* (* x 3.0) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (* x 3.0) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
09678
143563
2229863
3500162

prune32.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.2b
(sqrt (* (* x 3.0) x))
18.2b
(sqrt (* (* x 3.0) x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
7.0ms
(* (* x 3.0) x)
40.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms
(sqrt (* (* x 3.0) x))
6.0ms
(sqrt (* (* x 3.0) x))

series160.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* x 3.0) x)
68.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
32.0ms
(sqrt (* (* x 3.0) x))
36.0ms
(sqrt (* (* x 3.0) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0183396
1948335
25001324

prune142.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
18.2b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
18.2b
(sqrt (* (* x 3.0) x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
16×pow-prod-down
9×sqrt-pow1
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/2 pow1/3 sqrt-prod
Counts
4 → 57
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
48.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
6.0ms
(sqrt (* (* x 3.0) x))

series441.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt x)
169.0ms
(cbrt x)
67.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
36.0ms
(sqrt (* (* x 3.0) x))

simplify130.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
089252
1208237
2628183
33639183
45003183

prune175.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

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:
10.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series893.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt x) (cbrt x))
351.0ms
(cbrt x)
176.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune178.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample251.0ms

Algorithm
intervals
Results
138.0ms10679×body80valid