Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
9.0ms327×body80valid
1.0ms11×body1280valid
1.0ms9×body640valid
0.0ms5×body320valid
0.0ms1×body160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1324
2814
31664
42254
52274
62274

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:
3.0ms
(- 2.0 (* x 3.0))
13.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
9.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- 2.0 (* x 3.0))
99.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
66.0ms
(* 3.0 (- 2.0 (* x 3.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0253437
11184374
25001369

prune179.0ms

Filtered
83 candidates to 54 candidates (65.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
3.0ms
(- 6.0 (* 9.0 x))
8.0ms
(* (- 6.0 (* 9.0 x)) x)

series134.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- 6.0 (* 9.0 x))
84.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify110.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0160218
1563191
23219187
35001173

prune115.0ms

Filtered
48 candidates to 33 candidates (68.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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

rewrite71.0ms

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:
35.0ms
(* (* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))) x)
12.0ms
(* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0)))
13.0ms
(* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x)))
8.0ms
(/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))

series326.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))) x)
60.0ms
(* 3.0 (/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0)))
129.0ms
(* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x)))
48.0ms
(/ (* (fma 3.0 x 2.0) (- 2.0 (* 3.0 x))) (fma 3.0 x 2.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
04431069
12556846
25001802

prune259.0ms

Filtered
123 candidates to 81 candidates (65.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(- (* 6.0 x) (* 9.0 (pow x 2)))
0.2b
(* 9.0 (pow x 2))

rewrite11.0ms

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:
3.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
6.0ms
(* 9.0 (pow x 2))

series130.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
36.0ms
(* 9.0 (pow x 2))

simplify171.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0190226
1739203
24084198
35001198

prune108.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1154
2154

end0.0ms

sample366.0ms

Algorithm
intervals
Results
192.0ms9849×body80valid
27.0ms319×body1280valid
19.0ms281×body640valid
7.0ms140×body320valid
2.0ms70×body160valid