Details

Time bar (total: 2.3s)

sample27.0ms

Algorithm
intervals
Results
19.0ms335×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (51.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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)

series131.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (* x 3.0) 4.0)
33.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
50.0ms
(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify126.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0206296
1706240
24518237
35001237

prune133.0ms

Pruning

4 alts after pruning (4 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)))

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)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- 3.0 (* 12.0 x))
28.0ms
(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0120170
1350149
21768148
35001131

prune91.0ms

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma x (- (* 9.0 x) 12.0) 3.0)

simplify80.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04266
19553
239053
3202953
4500253

prune29.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0)
0.1b
(* (fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0) 3.0)
0.2b
(* (fma x 3.0 4.0) (- (* x 3.0) 4.0))
0.2b
(/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l* prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv sub-neg flip3-- div-exp pow-prod-down *-commutative flip-- associate-/l/ unswap-sqr
1×frac-2neg clear-num fma-udef div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
0.0ms
(fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0)
3.0ms
(* (fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0) 3.0)
12.0ms
(* (fma x 3.0 4.0) (- (* x 3.0) 4.0))
9.0ms
(/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0))

series263.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0)
42.0ms
(* (fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0) 3.0)
134.0ms
(* (fma x 3.0 4.0) (- (* x 3.0) 4.0))
44.0ms
(/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0374827
11975679
25001646

prune238.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes14.0ms

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

sample740.0ms

Algorithm
intervals
Results
620.0ms10739×body80valid