Details

Time bar (total: 2.3s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(- x (/ 1.0 3.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
17.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×distribute-lft-out difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/r* associate-/l*
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 66
Calls
3 calls:
6.0ms
(+ x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
12.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ x (/ 1.0 3.0))
49.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
91.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0277693
11280635
25002624

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (/ (* x x) (+ x (/ 1.0 3.0))) (/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
0.2b
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
17.2b
(/ (* x x) (+ x (/ 1.0 3.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
20×*-un-lft-identity
16×add-sqr-sqrt
12×times-frac
11×cbrt-undiv div-exp
8×add-cube-cbrt associate-/r* associate-/r/ add-log-exp
5×flip3-+ prod-exp cbrt-unprod flip-+ distribute-lft-out
4×pow1 div-inv difference-of-squares
3×distribute-rgt-out-- associate-/l/
2×frac-2neg clear-num associate-/l*
1×+-commutative frac-times sub-neg flip3-- diff-log associate-*r/ associate-*l/ sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 93
Calls
4 calls:
6.0ms
(+ x (/ 1.0 3.0))
20.0ms
(- (/ (* x x) (+ x (/ 1.0 3.0))) (/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
13.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
9.0ms
(/ (* x x) (+ x (/ 1.0 3.0)))

series349.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ 1.0 3.0))
267.0ms
(- (/ (* x x) (+ x (/ 1.0 3.0))) (/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
30.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
34.0ms
(/ (* x x) (+ x (/ 1.0 3.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0515914
12491820
25001820

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
0.2b
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
0.3b
(/ x (sqrt (+ x (/ 1.0 3.0))))
0.3b
(/ x (sqrt (+ x (/ 1.0 3.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
50×times-frac
44×add-exp-log add-cbrt-cube
40×add-sqr-sqrt add-cube-cbrt
32×sqrt-prod
22×associate-/r*
20×cbrt-undiv div-exp
12×distribute-lft-out
8×prod-exp associate-/r/ cbrt-unprod associate-/l*
6×associate-/l/
4×pow1 frac-2neg flip3-+ sqrt-div clear-num flip-+ div-inv add-log-exp
2×frac-times associate-*r/ associate-*l/
Counts
4 → 158
Calls
4 calls:
13.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
13.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
8.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))
9.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))

series319.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
29.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
123.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))
131.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04391448
121111270
250011230

prune382.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
052

end0.0ms

sample197.0ms

Algorithm
intervals
Results
112.0ms8000×body80valid