Details

Time bar (total: 2.3s)

sample24.0ms

Algorithm
intervals
Results
11.0ms295×body80valid
2.0ms14×body1280valid
2.0ms13×body640valid
1.0ms11×body320valid
0.0ms2×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1324
2754
31414
41704
51704

prune2.0ms

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)))

rewrite22.0ms

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:
2.0ms
(- 2.0 (* x 3.0))
11.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
7.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- 2.0 (* x 3.0))
85.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
58.0ms
(* 3.0 (- 2.0 (* x 3.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0219323
11062277
25002274

prune106.0ms

Pruning

8 alts after pruning (8 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
(* x (- 6.0 (* 9.0 x)))

rewrite10.0ms

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×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 6.0 (* 9.0 x))
7.0ms
(* x (- 6.0 (* 9.0 x)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- 6.0 (* 9.0 x))
71.0ms
(* x (- 6.0 (* 9.0 x)))

simplify94.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0140190
1583168
23082168
35002168

prune73.0ms

Pruning

8 alts after pruning (8 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)

rewrite11.0ms

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:
2.0ms
(- 6.0 (* 9.0 x))
8.0ms
(* (- 6.0 (* 9.0 x)) x)

series108.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- 6.0 (* 9.0 x))
73.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0135174
1502155
22854152
35003152

prune64.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 6.0 (* 9.0 x))
0.1b
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
0.1b
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
0.4b
(* (* 9.0 x) (* 9.0 x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×add-sqr-sqrt
25×times-frac
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
19×associate-*l*
18×pow-prod-down
10×prod-exp cbrt-unprod
7×difference-of-squares
6×add-log-exp
4×associate-*r* associate-/r/ pow-sqr pow-prod-up associate-/l*
3×flip3-+ associate-/r* flip-+
2×cbrt-undiv pow-plus div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×+-commutative pow2 flip3-- frac-2neg div-sub swap-sqr associate-*l/ clear-num sum-log flip--
Counts
4 → 118
Calls
4 calls:
2.0ms
(+ 6.0 (* 9.0 x))
19.0ms
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
10.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
13.0ms
(* (* 9.0 x) (* 9.0 x))

series353.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 6.0 (* 9.0 x))
172.0ms
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
123.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
25.0ms
(* (* 9.0 x) (* 9.0 x))

simplify67.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04341054
12059928
25002928

prune205.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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
083
183

end0.0ms

sample613.0ms

Algorithm
intervals
Results
375.0ms9841×body80valid
60.0ms343×body1280valid
39.0ms303×body640valid
16.0ms161×body320valid
5.0ms76×body160valid