Details

Time bar (total: 1.4s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
2.0ms256×pre80true

simplify105.0ms

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))

rewrite11.0ms

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:
11.0ms
(* x (+ (* x x) x))

series64.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* x (+ (* x x) x))

simplify104.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0129117
1713102
23504100
3500299

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-exp-log add-cbrt-cube
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
7.0ms
(+ (* x (* x x)) (* x x))
7.0ms
(* x (* x x))

series109.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ (* x (* x x)) (* x x))
36.0ms
(* x (* x x))

simplify96.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0158147
1646107
22546106
35002102

prune55.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (sqrt (+ (* x x) x)) (pow x 1/2)) (* (sqrt (+ (* x x) x)) (pow x 1/2)))
0.5b
(* (sqrt (+ (* x x) x)) (pow x 1/2))
0.5b
(* (sqrt (+ (* x x) x)) (pow x 1/2))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
46×prod-exp
31×add-sqr-sqrt
19×add-cbrt-cube
18×associate-*l/
17×associate-*l*
16×sqrt-div sqrt-prod
15×associate-*r*
13×*-un-lft-identity
12×unswap-sqr
11×add-cube-cbrt
10×pow1 pow-to-exp unpow-prod-down pow-prod-down pow-exp cbrt-unprod
8×flip3-+ pow1/2 flip-+
7×sqrt-unprod
6×unpow1/2 sqr-pow
4×frac-times
3×*-commutative add-log-exp
2×distribute-rgt-out distribute-lft1-in associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus swap-sqr rem-square-sqrt
Counts
3 → 123
Calls
3 calls:
43.0ms
(* (* (sqrt (+ (* x x) x)) (pow x 1/2)) (* (sqrt (+ (* x x) x)) (pow x 1/2)))
16.0ms
(* (sqrt (+ (* x x) x)) (pow x 1/2))
16.0ms
(* (sqrt (+ (* x x) x)) (pow x 1/2))

series139.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* (* (sqrt (+ (* x x) x)) (pow x 1/2)) (* (sqrt (+ (* x x) x)) (pow x 1/2)))
43.0ms
(* (sqrt (+ (* x x) x)) (pow x 1/2))
39.0ms
(* (sqrt (+ (* x x) x)) (pow x 1/2))

simplify52.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03551073
11421871
25001829

prune220.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

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

sample275.0ms

Algorithm
intervals
Results
118.0ms8000×body80valid
68.0ms8000×pre80true