Details

Time bar (total: 2.0s)

sample11.0ms

Algorithm
intervals
Results
3.0ms256×body80valid
2.0ms256×pre80true

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1253
2393
3703
41813
56823
624633
750013

prune4.0ms

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))

rewrite7.0ms

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:
6.0ms
(* x (+ (* x x) x))

series61.0ms

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

simplify109.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0129117
1713102
23504100
3500299

prune41.0ms

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))

rewrite14.0ms

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:
7.0ms
(* (* x (+ x 1)) x)
6.0ms
(* x (+ x 1))

series82.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (* x (+ x 1)) x)
39.0ms
(* x (+ x 1))

simplify133.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0178185
11014157
24796156
35001155

prune81.0ms

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)))

rewrite61.0ms

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:
5.0ms
(cbrt (+ x 1))
19.0ms
(* (* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) x)
17.0ms
(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))
10.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (+ x 1))
44.0ms
(* (* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) x)
41.0ms
(* (* x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1)))
35.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))

simplify103.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
06781889
134611626
250021532

prune310.0ms

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))

rewrite25.0ms

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:
7.0ms
(* (* x (+ x 1)) x)
5.0ms
(* x (+ x 1))
7.0ms
(pow (* (* x (+ x 1)) x) 3)
3.0ms
(cbrt (pow (* (* x (+ x 1)) x) 3))

series149.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* x (+ x 1)) x)
35.0ms
(* x (+ x 1))
26.0ms
(pow (* (* x (+ x 1)) x) 3)
43.0ms
(cbrt (pow (* (* x (+ x 1)) x) 3))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0315429
11692401
25002399

prune159.0ms

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

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample266.0ms

Algorithm
intervals
Results
110.0ms8000×body80valid
68.0ms8000×pre80true