Details

Time bar (total: 2.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms342×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

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 3.0) x)

rewrite17.0ms

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:
16.0ms
(* (* x 3.0) x)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* (* x 3.0) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
09678
143563
2229863
3500162

prune39.0ms

Pruning

6 alts after pruning (5 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)))
15.8b
(sqrt (* (* x 3.0) x))
15.8b
(sqrt (* (* x 3.0) x))

rewrite134.0ms

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:
17.0ms
(* (* x 3.0) x)
85.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
13.0ms
(sqrt (* (* x 3.0) x))
15.0ms
(sqrt (* (* x 3.0) x))

series146.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 3.0) x)
62.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
30.0ms
(sqrt (* (* x 3.0) x))
30.0ms
(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0183396
1948335
25001324

prune210.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
15.8b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
15.8b
(sqrt (* (* x 3.0) x))

rewrite106.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
91.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
13.0ms
(sqrt (* (* x 3.0) x))

series423.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt x)
163.0ms
(cbrt x)
62.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
32.0ms
(sqrt (* (* x 3.0) x))

simplify132.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (128.0ms)

IterNodesCost
089261
1208246
2628192
33639192
45003183

prune284.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
0.7b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
15.8b
(sqrt (* (* x 3.0) x))
15.8b
(sqrt (* (* x 3.0) x))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
25×pow1
20×associate-*r*
18×unpow-prod-down cube-prod
16×add-cube-cbrt *-un-lft-identity
14×sqrt-pow1
12×unswap-sqr
10×add-exp-log
9×pow-prod-down
7×pow-pow associate-*l* add-cbrt-cube
4×expm1-log1p-u pow1/2 log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 122
Calls
4 calls:
77.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
16.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
13.0ms
(sqrt (* (* x 3.0) x))
16.0ms
(sqrt (* (* x 3.0) x))

series310.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
176.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
31.0ms
(sqrt (* (* x 3.0) x))
35.0ms
(sqrt (* (* x 3.0) x))

simplify67.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
03331115
11643810
25002713

prune340.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.2b 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

sample271.0ms

Algorithm
intervals
Results
160.0ms10704×body80valid