Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms304×body80valid
1.0ms12×body1280valid
0.0ms5×body640valid
0.0ms6×body320valid
0.0ms7×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2754
31414
41704
51704

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
5.0ms
(- 2.0 (* x 3.0))
19.0ms
(* 3.0 (- 2.0 (* x 3.0)))
26.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series173.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- 2.0 (* x 3.0))
51.0ms
(* 3.0 (- 2.0 (* x 3.0)))
82.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0219323
11062277
25002274

prune104.0ms

Pruning

9 alts after pruning (9 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)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
5.0ms
(- 6.0 (* 9.0 x))
17.0ms
(* (- 6.0 (* 9.0 x)) x)

series100.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- 6.0 (* 9.0 x))
68.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify78.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0135174
1502155
22854152
35003152

prune61.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b
(* (* x 3.0) (* x 3.0))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-exp-log add-cbrt-cube
19×pow-prod-down
15×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×times-frac
4×cbrt-undiv associate-*r/ div-exp associate-/r/ pow-sqr pow-prod-up add-log-exp
3×associate-/r* *-commutative
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-plus flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×pow2 frac-2neg swap-sqr associate-*l/ clear-num associate-/l* difference-of-squares
Counts
4 → 113
Calls
4 calls:
27.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
40.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
27.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
25.0ms
(* (* x 3.0) (* x 3.0))

series420.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
175.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
135.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
25.0ms
(* (* x 3.0) (* x 3.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
04781040
12585835
25001835

prune188.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite20.0ms

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 unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 39
Calls
2 calls:
7.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
12.0ms
(* 9.0 (pow x 2))

series99.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
24.0ms
(* 9.0 (pow x 2))

simplify156.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (152.0ms)

IterNodesCost
0174200
1676179
23696173
35002170

prune76.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample403.0ms

Algorithm
intervals
Results
185.0ms9786×body80valid
29.0ms340×body1280valid
20.0ms278×body640valid
8.0ms164×body320valid
2.0ms65×body160valid