Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms354×body80valid

simplify191.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1354
2814
31274
41334
51494
62054
73964
813284
946624
1050014

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
26.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify144.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
12.0ms
(* 2.0 (pow x 3))
18.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
20.0ms
(* (* x x) 3.0)

series161.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 2.0 (pow x 3))
99.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
26.0ms
(* (* x x) 3.0)

simplify58.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0292325
11517282
25001277

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.1b
(* x (* x 3.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 64
Calls
3 calls:
12.0ms
(* 2.0 (pow x 3))
16.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
15.0ms
(* x (* x 3.0))

series164.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 2.0 (pow x 3))
98.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
29.0ms
(* x (* x 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0279321
11424280
25001274

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 3.0 (* x 2.0)))
0.1b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
0.3b
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
50×pow1
42×associate-*r/
35×flip3-- flip--
34×add-exp-log
32×frac-times
27×pow-prod-down
21×prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×pow-plus pow-prod-up add-log-exp
2×pow2 pow1/3 associate-*l* pow-sqr *-commutative
1×unswap-sqr
Counts
4 → 119
Calls
4 calls:
3.0ms
(cbrt (- 3.0 (* x 2.0)))
3.0ms
(cbrt (- 3.0 (* x 2.0)))
52.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
180.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (- 3.0 (* x 2.0)))
120.0ms
(cbrt (- 3.0 (* x 2.0)))
167.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
76.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify89.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07262064
129941792
250011720

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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
0186
1206
2206

end0.0ms

sample403.0ms

Algorithm
intervals
Results
231.0ms12024×body80valid