Details

Time bar (total: 2.0s)

sample18.0ms

Algorithm
intervals
Results
9.0ms364×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (43.0ms)

IterNodesCost
0276
1636
21545
33235
44265
55285
66045
78325
814644
920354
1020644
1120644

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* x 3.0) x) (* x 4.0))
0.1b
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b
(* (* x 3.0) x)

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
associate-*r*
add-cube-cbrt
add-log-exp
associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
associate-*r/ *-commutative
distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ fma-neg diff-log prod-diff flip-- flip-+ distribute-lft-out unswap-sqr
Counts
3 → 61
Calls
3 calls:
20.0ms
(- (* (* x 3.0) x) (* x 4.0))
218.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
21.0ms
(* (* x 3.0) x)

series141.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- (* (* x 3.0) x) (* x 4.0))
32.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
29.0ms
(* (* x 3.0) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0306404
11349358
25001342

prune149.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 3.0 (* 12.0 x))
0.1b
(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
fma-neg prod-diff
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
sub-neg flip3-- diff-log flip-- fma-udef
Counts
2 → 30
Calls
2 calls:
6.0ms
(- 3.0 (* 12.0 x))
0.0ms
(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- 3.0 (* 12.0 x))
25.0ms
(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0120170
1350149
21768148
35001131

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 9.0 x) 12.0)
0.1b
(fma x (- (* 9.0 x) 12.0) 3.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-diff
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
sub-neg flip3-- fma-neg diff-log flip-- fma-udef
Counts
2 → 28
Calls
2 calls:
9.0ms
(- (* 9.0 x) 12.0)
0.0ms
(fma x (- (* 9.0 x) 12.0) 3.0)

series76.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* 9.0 x) 12.0)
36.0ms
(fma x (- (* 9.0 x) 12.0) 3.0)

simplify80.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0140157
1462122
22558119
35002115

prune76.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x 3.0 (- 4.0))
0.2b
(* (* x 3.0) (fma x 3.0 (- 4.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod fma-udef
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
2 → 32
Calls
2 calls:
0.0ms
(fma x 3.0 (- 4.0))
18.0ms
(* (* x 3.0) (fma x 3.0 (- 4.0)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma x 3.0 (- 4.0))
96.0ms
(* (* x 3.0) (fma x 3.0 (- 4.0)))

simplify124.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0133191
1651159
24174156
35001156

prune76.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes15.0ms

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
0104
1104

end0.0ms

sample420.0ms

Algorithm
intervals
Results
261.0ms10746×body80valid