Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
9.0ms348×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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
expm1-log1p-u associate-*r* associate-*l* prod-diff log1p-expm1-u
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)

series111.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* x 3.0) 4.0)
34.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
39.0ms
(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify121.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0206296
1706240
24518237
35001237

prune116.0ms

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)))

rewrite3.0ms

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:
2.0ms
(- 3.0 (* 12.0 x))
0.0ms
(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- 3.0 (* 12.0 x))
27.0ms
(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0120170
1350149
21768148
35001131

prune88.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x (- (* 9.0 x) 12.0) 3.0)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma x (- (* 9.0 x) 12.0) 3.0)

simplify71.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04266
19553
239053
3202953
4500253

prune33.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 3.0 (* 12.0 x))
0.0b
(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
0.2b
(* (pow x 2) 9.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
10×add-log-exp
add-cube-cbrt *-un-lft-identity
add-exp-log associate-*l*
prod-diff
associate-+r+ add-cbrt-cube
unpow-prod-down unswap-sqr
pow1 expm1-log1p-u fma-neg associate-*r* prod-exp log1p-expm1-u
sub-neg diff-log sum-log unpow2 sqr-pow
+-commutative pow-to-exp associate-+r- flip3-- fma-def flip3-+ pow-exp *-commutative flip-- cbrt-unprod flip-+
Counts
3 → 70
Calls
3 calls:
2.0ms
(- 3.0 (* 12.0 x))
7.0ms
(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
6.0ms
(* (pow x 2) 9.0)

series87.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- 3.0 (* 12.0 x))
23.0ms
(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
28.0ms
(* (pow x 2) 9.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0278352
1935317
25001312

prune159.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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
083
183

end0.0ms

sample397.0ms

Algorithm
intervals
Results
272.0ms10757×body80valid