Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms256×pre80true

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0133
1253
2393
3703
41813
56823
624633
750013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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))

series94.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* x (* x x)) (* x x))
31.0ms
(* x (* x x))

simplify90.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0158147
1646107
22546106
35002102

prune57.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* x (+ (* x x) x))

simplify104.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0129117
1713102
23504100
3500299

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 3/2) (+ x 1))
0.1b
(* (sqrt x) (* (pow x 3/2) (+ x 1)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
13×associate-*l*
12×add-sqr-sqrt
10×prod-exp
9×*-un-lft-identity add-cbrt-cube
7×add-cube-cbrt
6×associate-*r/
5×distribute-rgt-in distribute-lft-in associate-*r*
4×pow1 unpow-prod-down cbrt-unprod
3×sqrt-prod unswap-sqr
2×pow-to-exp flip3-+ pow-exp *-commutative flip-+ add-log-exp sqr-pow
1×pow-prod-down distribute-lft-out
Counts
2 → 58
Calls
2 calls:
12.0ms
(* (pow x 3/2) (+ x 1))
15.0ms
(* (sqrt x) (* (pow x 3/2) (+ x 1)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (pow x 3/2) (+ x 1))
78.0ms
(* (sqrt x) (* (pow x 3/2) (+ x 1)))

simplify49.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0317369
11628326
25002325

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt x) (* (sqrt (* (pow x 3/2) (+ x 1))) (sqrt (* (pow x 3/2) (+ x 1)))))
0.4b
(* (sqrt (* (pow x 3/2) (+ x 1))) (sqrt (* (pow x 3/2) (+ x 1))))
17.4b
(sqrt (* (pow x 3/2) (+ x 1)))
17.4b
(sqrt (* (pow x 3/2) (+ x 1)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/
29×pow1
28×sqrt-div
14×add-sqr-sqrt flip3-+ flip-+
13×sqrt-pow1 pow1/2
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down sqrt-prod
8×frac-times
5×associate-*r* pow-prod-up
4×swap-sqr associate-*l/ prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod pow-sqr unswap-sqr
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 104
Calls
4 calls:
87.0ms
(* (sqrt x) (* (sqrt (* (pow x 3/2) (+ x 1))) (sqrt (* (pow x 3/2) (+ x 1)))))
29.0ms
(* (sqrt (* (pow x 3/2) (+ x 1))) (sqrt (* (pow x 3/2) (+ x 1))))
4.0ms
(sqrt (* (pow x 3/2) (+ x 1)))
6.0ms
(sqrt (* (pow x 3/2) (+ x 1)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (sqrt x) (* (sqrt (* (pow x 3/2) (+ x 1))) (sqrt (* (pow x 3/2) (+ x 1)))))
64.0ms
(* (sqrt (* (pow x 3/2) (+ x 1))) (sqrt (* (pow x 3/2) (+ x 1))))
93.0ms
(sqrt (* (pow x 3/2) (+ x 1)))
91.0ms
(sqrt (* (pow x 3/2) (+ x 1)))

simplify88.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0421941
12261800
25001784

prune250.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

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

sample279.0ms

Algorithm
intervals
Results
109.0ms8000×body80valid
75.0ms8000×pre80true