Details

Time bar (total: 2.1s)

sample11.0ms

Algorithm
intervals
Results
5.0ms335×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1153
2153

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x x) 2.0)
0.0b
(- (* (* x x) 2.0) 1.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg flip3-- diff-log associate-*l* *-commutative flip-- unswap-sqr
Counts
2 → 31
Calls
2 calls:
8.0ms
(* (* x x) 2.0)
5.0ms
(- (* (* x x) 2.0) 1.0)

series81.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (* x x) 2.0)
54.0ms
(- (* (* x x) 2.0) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0148151
1571133
22335131
35001131

prune43.0ms

Filtered
37 candidates to 24 candidates (64.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338

Merged error: 0b

Counts
38 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow x 4) 2.0)
0.0b
(* (* (pow x 4) 2.0) 2.0)
0.0b
(+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0))
11.0b
(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
10×prod-exp
times-frac
associate-*l* add-log-exp
pow1 associate-*r*
unpow-prod-down cbrt-unprod
flip3-+ associate-/r* flip-+ associate-/l* unswap-sqr
neg-sub0 pow-to-exp associate-+l- pow-exp sum-log associate-/r/ *-commutative associate-/l/ sqr-pow
cbrt-undiv +-commutative frac-2neg div-sub div-exp pow-prod-down neg-log clear-num div-inv
Counts
4 → 89
Calls
4 calls:
5.0ms
(* (pow x 4) 2.0)
6.0ms
(* (* (pow x 4) 2.0) 2.0)
4.0ms
(+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0))
11.0ms
(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

series312.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (pow x 4) 2.0)
35.0ms
(* (* (pow x 4) 2.0) 2.0)
88.0ms
(+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0))
150.0ms
(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0379857
11929760
25002736

prune184.0ms

Filtered
101 candidates to 71 candidates (70.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done011
Total1013104

Merged error: 0b

Counts
104 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x x) 2.0)
0.1b
(* (* (* x x) 2.0) (+ (* (* x x) 2.0) 1.0))
0.2b
(pow (* (* x x) 2.0) 3)
13.8b
(/ (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (+ (* (* (* x x) 2.0) (+ (* (* x x) 2.0) 1.0)) (* 1.0 1.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
39×times-frac
33×*-un-lft-identity
32×difference-of-squares
26×add-exp-log add-cbrt-cube
25×add-cube-cbrt sqr-pow
24×pow1
13×associate-/l*
12×pow-prod-down prod-exp cbrt-unprod
unpow-prod-down cube-prod
associate-*r*
difference-cubes distribute-lft-out-- add-log-exp
pow-unpow pow-pow pow-exp associate-/r* rem-cube-cbrt
flip3-+ associate-*r/ associate-*l* associate-/r/ *-commutative flip-+ associate-/l/
cbrt-undiv distribute-rgt-in cube-mult pow-to-exp flip3-- frac-2neg distribute-lft-in unpow3 div-sub div-exp clear-num flip-- div-inv unswap-sqr
Counts
4 → 141
Calls
4 calls:
6.0ms
(* (* x x) 2.0)
12.0ms
(* (* (* x x) 2.0) (+ (* (* x x) 2.0) 1.0))
6.0ms
(pow (* (* x x) 2.0) 3)
25.0ms
(/ (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (+ (* (* (* x x) 2.0) (+ (* (* x x) 2.0) 1.0)) (* 1.0 1.0)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* x x) 2.0)
109.0ms
(* (* (* x x) 2.0) (+ (* (* x x) 2.0) 1.0))
53.0ms
(pow (* (* x x) 2.0) 3)
231.0ms
(/ (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (+ (* (* (* x x) 2.0) (+ (* (* x x) 2.0) 1.0)) (* 1.0 1.0)))

simplify121.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06042223
132402119
250022118

prune294.0ms

Filtered
153 candidates to 100 candidates (65.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh000
Picked011
Done022
Total1533156

Merged error: 0b

Counts
156 → 3

regimes52.0ms

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
073
173

end0.0ms

sample286.0ms

Algorithm
intervals
Results
173.0ms10635×body80valid