Details

Time bar (total: 2.4s)

sample24.0ms

Algorithm
intervals
Results
12.0ms323×body80valid
2.0ms12×body1280valid
1.0ms11×body640valid
0.0ms3×body320valid
0.0ms2×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1324
2814
31664
42254
52274
62274

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×prod-diff
6×associate-*r*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg flip-- log1p-expm1-u
2×associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 74
Calls
3 calls:
2.0ms
(- 2.0 (* x 3.0))
8.0ms
(* 3.0 (- 2.0 (* x 3.0)))
11.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series188.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- 2.0 (* x 3.0))
61.0ms
(* 3.0 (- 2.0 (* x 3.0)))
86.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0253437
11184374
25002369

prune137.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* (- 6.0 (* 9.0 x)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×fma-neg associate-*r* associate-*l* prod-diff
2×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
2.0ms
(- 6.0 (* 9.0 x))
8.0ms
(* (- 6.0 (* 9.0 x)) x)

series111.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- 6.0 (* 9.0 x))
70.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify96.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0160218
1563191
23219187
35001173

prune82.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0)))
0.1b
(* (* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))) x)
0.2b
(/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))
0.2b
(* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
13×pow1 associate-*r*
7×associate-*l*
6×cbrt-undiv times-frac associate-*r/ div-exp prod-diff
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* *-commutative
2×sub-neg flip3-- flip-- div-inv associate-/l/ unswap-sqr
1×frac-2neg associate-*l/ clear-num associate-/l*
Counts
4 → 111
Calls
4 calls:
10.0ms
(* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0)))
30.0ms
(* (* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))) x)
7.0ms
(/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))
8.0ms
(* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0)))
91.0ms
(* (* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))) x)
37.0ms
(/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))
116.0ms
(* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x)))

simplify82.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
04431069
12561846
25001802

prune217.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 6.0 x) (* 9.0 (pow x 2)))
0.2b
(* 9.0 (pow x 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- fma-neg diff-log prod-diff pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
6.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
5.0ms
(* 9.0 (pow x 2))

series102.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
25.0ms
(* 9.0 (pow x 2))

simplify161.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0190226
1739203
24084198
35001198

prune92.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes20.0ms

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
0134
1154
2154

end0.0ms

sample619.0ms

Algorithm
intervals
Results
378.0ms9944×body80valid
54.0ms331×body1280valid
36.0ms272×body640valid
17.0ms162×body320valid
5.0ms65×body160valid