Details

Time bar (total: 2.3s)

sample11.0ms

Algorithm
intervals
Results
3.0ms256×body80valid
2.0ms256×pre80true

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1253
2393
3703
41813
56823
624633
750013

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-rgt-out distribute-lft-in distribute-lft1-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
12.0ms
(* x (+ (* x x) x))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* x (+ (* x x) x))

simplify103.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0129117
1713102
23504100
3500299

prune43.0ms

Filtered
27 candidates to 18 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (+ x 1)) x)
0.0b
(* x (+ x 1))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
16.0ms
(* (* x (+ x 1)) x)
10.0ms
(* x (+ x 1))

series84.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (* x (+ x 1)) x)
36.0ms
(* x (+ x 1))

simplify131.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0178185
11014157
24796156
35001156

prune61.0ms

Filtered
49 candidates to 28 candidates (57.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ x 1))
0.0b
(* (* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) x)
0.0b
(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))
0.0b
(* (cbrt (+ x 1)) (cbrt (+ x 1)))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
122×cbrt-div
66×associate-*r/
61×flip3-+ flip-+
60×frac-times
56×associate-*l/
34×pow1 *-un-lft-identity
32×cbrt-prod
29×add-exp-log
24×add-sqr-sqrt
18×pow-prod-down
17×associate-*r* prod-exp add-cbrt-cube cbrt-unprod
16×add-cube-cbrt
9×swap-sqr associate-*l*
8×distribute-lft-out
7×pow1/3
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 168
Calls
4 calls:
2.0ms
(cbrt (+ x 1))
307.0ms
(* (* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) x)
89.0ms
(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))
22.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (+ x 1))
43.0ms
(* (* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) x)
42.0ms
(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))
34.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))

simplify98.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06752036
134581771
250011676

prune317.0ms

Filtered
180 candidates to 99 candidates (55.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x (+ x 1)) x)
0.0b
(* x (+ x 1))
0.1b
(pow (* (* x (+ x 1)) x) 3)
13.8b
(cbrt (pow (* (* x (+ x 1)) x) 3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
8×cbrt-prod associate-*r/
7×associate-*r* pow-prod-down prod-exp cbrt-unprod
6×associate-*l/
4×cube-div flip3-+ associate-*l* flip-+ add-log-exp
3×pow-unpow pow-pow pow-exp rem-cube-cbrt
2×cube-mult unpow-prod-down cbrt-div unpow3 cube-prod *-commutative sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 89
Calls
4 calls:
13.0ms
(* (* x (+ x 1)) x)
9.0ms
(* x (+ x 1))
13.0ms
(pow (* (* x (+ x 1)) x) 3)
2.0ms
(cbrt (pow (* (* x (+ x 1)) x) 3))

series156.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* x (+ x 1)) x)
40.0ms
(* x (+ x 1))
23.0ms
(pow (* (* x (+ x 1)) x) 3)
48.0ms
(cbrt (pow (* (* x (+ x 1)) x) 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0315429
11692401
25002399

prune156.0ms

Filtered
101 candidates to 62 candidates (61.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample261.0ms

Algorithm
intervals
Results
105.0ms8000×body80valid
68.0ms8000×pre80true