Details

Time bar (total: 5.3s)

sample34.0ms

Algorithm
intervals
Results
13.0ms68×body1280valid
5.0ms34×body640valid
5.0ms121×body80valid
3.0ms23×body320valid
1.0ms10×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: 32.5b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.7b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite37.0ms

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:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
30.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series422.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(cbrt (+ x 1.0))
184.0ms
(cbrt x)
147.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04301315
113941045
25001981

prune248.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 21.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
11.5b
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

rewrite33.0ms

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)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
29.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
180.0ms
(cbrt x)
181.0ms
(cbrt x)
155.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

simplify102.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0278677
1832602
23218584
35001583

prune338.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 21.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.1b
(- (+ x 1.0) x)

rewrite29.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(- (+ x 1.0) x)

series547.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
181.0ms
(cbrt x)
179.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify135.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0161357
1565244
23823214
35001206

prune332.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series896.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
369.0ms
(cbrt x)
179.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify126.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune291.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03037
13437
23437

end0.0ms

sample903.0ms

Algorithm
intervals
Results
345.0ms1730×body1280valid
189.0ms1232×body640valid
166.0ms4088×body80valid
74.0ms642×body320valid
22.0ms308×body160valid