Details

Time bar (total: 5.7s)

sample20.0ms

Algorithm
intervals
Results
7.0ms66×body1280valid
3.0ms128×body80valid
3.0ms32×body640valid
1.0ms18×body320valid
0.0ms12×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: 30.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite27.0ms

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))

series409.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
177.0ms
(cbrt x)
145.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify160.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune151.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 13.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))
7.3b
(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite38.0ms

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))
13.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ x 1.0))
180.0ms
(cbrt x)
145.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
199.0ms
(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

prune266.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 13.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt x) 3)
2.7b
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
3.4b
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
7.3b
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite139.0ms

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)
64.0ms
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
43.0ms
(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)))))

series805.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(pow (cbrt x) 3)
65.0ms
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
181.0ms
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
342.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012093634
150013450

prune537.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
7.3b
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite42.0ms

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)))))))
20.0ms
(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:
177.0ms
(cbrt x)
179.0ms
(cbrt x)
513.0ms
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
343.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014324496
150014331

prune481.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

regimes48.0ms

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

sample535.0ms

Algorithm
intervals
Results
192.0ms1775×body1280valid
99.0ms1219×body640valid
88.0ms4066×body80valid
40.0ms614×body320valid
13.0ms326×body160valid