Details

Time bar (total: 4.8s)

sample18.0ms

Algorithm
intervals
Results
4.0ms43×body1280valid
3.0ms42×body640valid
3.0ms139×body80valid
1.0ms15×body320valid
1.0ms17×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: 28.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
46.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series404.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
172.0ms
(cbrt x)
145.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify56.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04301315
113941045
25001981

prune240.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 15.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
10.2b
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
15×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
7×fma-neg prod-diff
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
2×distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
55.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

series692.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
183.0ms
(cbrt x)
182.0ms
(cbrt x)
144.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

simplify100.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0278677
1832602
23218584
35001583

prune325.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 15.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.9b
(- (+ x 1.0) x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
9×cbrt-prod add-log-exp
5×distribute-lft-out
4×pow1 add-exp-log expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
3×pow1/3
2×diff-log distribute-lft-out--
1×sub-neg flip3-- associate--l+ sum-log flip-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
41.0ms
(- (+ x 1.0) x)

series546.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
183.0ms
(cbrt x)
183.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify137.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0161357
1565244
23823214
35001206

prune330.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series716.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
176.0ms
(cbrt x)
177.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify126.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune319.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02938
12938

end0.0ms

sample516.0ms

Algorithm
intervals
Results
164.0ms1712×body1280valid
96.0ms1240×body640valid
81.0ms4092×body80valid
37.0ms640×body320valid
15.0ms316×body160valid