Details

Time bar (total: 2.6s)

sample38.0ms

Algorithm
intervals
Results
29.0ms331×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (52.0ms)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(fma x (- (* x 3.0) 4.0) 1.0)
0.1b
(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log add-cbrt-cube add-log-exp
3×expm1-log1p-u associate-*r* associate-*l* prod-diff log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 48
Calls
3 calls:
3.0ms
(- (* x 3.0) 4.0)
0.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
3.0ms
(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

series123.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (* x 3.0) 4.0)
40.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
43.0ms
(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify130.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0206296
1706240
24518237
35001237

prune134.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite4.0ms

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

series65.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- 3.0 (* 12.0 x))
27.0ms
(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify68.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0120170
1350149
21768148
35001131

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)

rewrite5.0ms

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

series79.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* 9.0 x) 12.0)
39.0ms
(fma x (- (* 9.0 x) 12.0) 3.0)

simplify91.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0140157
1462122
22558119
35002115

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 9.0 x) 12.0)
0.1b
(fma x (/ (* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0)) (fma 9.0 x 12.0)) 3.0)
0.1b
(* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0))
0.2b
(/ (* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0)) (fma 9.0 x 12.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×prod-diff
6×pow1 add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg flip3-- times-frac associate-*r* associate-*l* associate-/r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/
1×frac-2neg fma-neg diff-log pow-prod-down clear-num *-commutative fma-udef div-inv associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
3.0ms
(- (* 9.0 x) 12.0)
0.0ms
(fma x (/ (* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0)) (fma 9.0 x 12.0)) 3.0)
12.0ms
(* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0))
9.0ms
(/ (* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0)) (fma 9.0 x 12.0))

series262.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* 9.0 x) 12.0)
34.0ms
(fma x (/ (* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0)) (fma 9.0 x 12.0)) 3.0)
134.0ms
(* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0))
46.0ms
(/ (* (fma 9.0 x 12.0) (- (* 9.0 x) 12.0)) (fma 9.0 x 12.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0319679
11727546
25001520

prune221.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample979.0ms

Algorithm
intervals
Results
841.0ms10609×body80valid