Details

Time bar (total: 1.3s)

sample13.0ms

Algorithm
intervals
Results
6.0ms348×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: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
difference-of-squares
add-exp-log add-cbrt-cube associate-/l* add-log-exp
prod-diff associate-/r*
pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 55
Calls
2 calls:
12.0ms
(- (* x x) 3.0)
20.0ms
(/ (- (* x x) 3.0) 6.0)

series97.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* x x) 3.0)
59.0ms
(/ (- (* x x) 3.0) 6.0)

simplify32.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0246323
1917287
25001279

prune101.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (* x x) 6.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
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:
9.0ms
(/ (* x x) 6.0)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (* x x) 6.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010991
146776
2200576
3500176

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
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))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* x (/ x 6.0))

simplify29.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164139
1782118
25002118

prune59.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 0.16666666666666666 (pow x 2)) 0.5)
0.2b
(* 0.16666666666666666 (pow x 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-diff prod-exp
pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
pow-to-exp sub-neg flip3-- fma-neg diff-log pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 47
Calls
2 calls:
10.0ms
(- (* 0.16666666666666666 (pow x 2)) 0.5)
14.0ms
(* 0.16666666666666666 (pow x 2))

series77.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* 0.16666666666666666 (pow x 2)) 0.5)
24.0ms
(* 0.16666666666666666 (pow x 2))

simplify147.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0198220
1742184
24216180
35001180

prune82.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

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

sample327.0ms

Algorithm
intervals
Results
176.0ms10603×body80valid