Details

Time bar (total: 2.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms363×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
21.0ms
(/ (- (* x x) 3.0) 6.0)

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (- (* x x) 3.0) 6.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune74.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (* x x) 6.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
10.0ms
(/ (* x x) 6.0)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* x x) 6.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
010991
146776
2200576
3500176

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (/ x 6.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
14.0ms
(* x (/ x 6.0))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* x (/ x 6.0))

simplify28.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164139
1782118
25002118

prune67.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (/ x 6.0)) (cbrt (/ x 6.0)))
0.6b
(cbrt (/ x 6.0))
0.6b
(cbrt (/ x 6.0))
0.6b
(cbrt (/ x 6.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
26.0ms
(* (cbrt (/ x 6.0)) (cbrt (/ x 6.0)))
2.0ms
(cbrt (/ x 6.0))
2.0ms
(cbrt (/ x 6.0))
2.0ms
(cbrt (/ x 6.0))

series854.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (/ x 6.0)) (cbrt (/ x 6.0)))
206.0ms
(cbrt (/ x 6.0))
201.0ms
(cbrt (/ x 6.0))
206.0ms
(cbrt (/ x 6.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
02301102
18221061
245221019
350011016

prune441.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample339.0ms

Algorithm
intervals
Results
180.0ms10714×body80valid