Details

Time bar (total: 6.2s)

sample29.0ms

Algorithm
intervals
Results
10.0ms53×body1280valid
5.0ms37×body640valid
5.0ms133×body80valid
3.0ms26×body320valid
0.0ms7×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
24.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series414.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
180.0ms
(cbrt x)
146.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify156.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune155.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.1b
(- (cbrt (+ x 1.0)) (cbrt x))
10.4b
(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod add-sqr-sqrt *-un-lft-identity
10×log-prod
8×difference-of-squares
7×add-cube-cbrt
6×distribute-lft-out-- add-log-exp
5×pow1 add-exp-log
4×add-cbrt-cube
3×distribute-lft-out
2×log-div cbrt-div flip3-- pow1/3 flip--
1×sub-neg flip3-+ diff-log rem-log-exp log-pow flip-+
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
12.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
144.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
197.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0467711
11664676
25001672

prune270.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt x) 3)
1.2b
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
3.8b
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
10.4b
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
86×cbrt-prod
78×unpow-prod-down cube-prod
72×difference-of-squares
71×*-un-lft-identity
56×log-prod
26×distribute-lft-out--
25×sqr-pow
24×cbrt-div
21×flip3-+ flip-+
20×log-div
16×frac-add
11×add-cube-cbrt
8×frac-times distribute-lft-out
7×pow1 add-exp-log
6×add-log-exp
4×associate-*r/ associate-*l/ add-cbrt-cube
3×pow-unpow
2×difference-cubes flip3-- pow-pow rem-log-exp log-pow flip--
1×cube-mult pow-to-exp sub-neg pow1/3 diff-log unpow3 pow-exp rem-cube-cbrt
Counts
4 → 186
Calls
4 calls:
2.0ms
(pow (cbrt x) 3)
63.0ms
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
39.0ms
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
19.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(pow (cbrt x) 3)
63.0ms
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
176.0ms
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
337.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012093634
150013450

prune727.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
10.4b
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
42×flip3-+ flip-+
36×log-div
32×frac-add
23×exp-sum
18×associate--r-
16×frac-times
13×*-un-lft-identity
11×add-sqr-sqrt
9×pow1 add-cube-cbrt
8×exp-prod associate-*r/ associate-*l/
6×cbrt-prod log-prod
5×add-exp-log log-pow add-log-exp
4×add-cbrt-cube distribute-lft-out--
3×associate--l+
2×pow1/3 rem-exp-log
1×sub-neg exp-diff diff-log rem-log-exp difference-of-squares
Counts
4 → 93
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
16.0ms
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
22.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
175.0ms
(cbrt x)
499.0ms
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
332.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014324496
150014331

prune471.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
11515

end0.0ms

sample831.0ms

Algorithm
intervals
Results
322.0ms1779×body1280valid
173.0ms1201×body640valid
153.0ms4113×body80valid
63.0ms621×body320valid
19.0ms286×body160valid