Details

Time bar (total: 5.4s)

sample21.0ms

Algorithm
intervals
Results
7.0ms67×body1280valid
3.0ms36×body640valid
3.0ms131×body80valid
1.0ms11×body320valid
0.0ms11×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: 29.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite58.0ms

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)
47.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series390.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(cbrt (+ x 1.0))
172.0ms
(cbrt x)
136.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04301315
113941045
25001981

prune234.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 20.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.8b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
117×cbrt-prod
104×*-un-lft-identity
84×prod-diff
78×add-sqr-sqrt
62×add-cube-cbrt
47×log-prod
44×exp-sum
16×distribute-lft-out
11×log-pow
10×exp-prod
8×difference-of-squares
7×fma-neg
6×distribute-lft-out-- add-log-exp
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×sub-neg cbrt-div pow1/3
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 168
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
93.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
50.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series536.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (+ x 1.0))
171.0ms
(cbrt x)
142.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
139.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify61.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05672459
116511917
250011581

prune389.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 20.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
9.6b
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
18×*-un-lft-identity
14×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 → 76
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
56.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

series874.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt (cbrt x))
240.0ms
(cbrt (cbrt x))
245.0ms
(cbrt (cbrt x))
144.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0299788
1860701
23276691
35002668

prune338.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
9.6b
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))
17.0b
(+ (- (* (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))))) (cbrt (cbrt x)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
19×*-un-lft-identity
17×add-cube-cbrt
13×add-sqr-sqrt
10×add-log-exp
7×fma-neg prod-diff
6×fma-def
4×pow1 add-exp-log distribute-lft-neg-in expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out
3×distribute-rgt-out
2×distribute-rgt-neg-in pow1/3 sum-log
1×+-commutative neg-sub0 associate-+l- neg-mul-1 sub-neg flip3-- flip3-+ diff-log neg-log flip-- flip-+
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
55.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))
17.0ms
(+ (- (* (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))))) (cbrt (cbrt x)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt (cbrt x))
243.0ms
(cbrt (cbrt x))
146.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))
2.0ms
(+ (- (* (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))))) (cbrt (cbrt x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03911076
11223972
25001932

prune442.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.1b

regimes150.0ms

Accuracy

98.3% (0.2b remaining)

Error of 18.7b against oracle of 18.5b and baseline of 29.8b

bsearch125.0ms

Steps
ItersRangePoint
8
3.618674152218468
3974.013529084827
3852.4403384761563
10
-8.315572451848708e+66
-2.678000396648453e+52
-4.4502080277561566e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07663
18063
28063

end0.0ms

sample565.0ms

Algorithm
intervals
Results
188.0ms1700×body1280valid
101.0ms1254×body640valid
94.0ms4116×body80valid
39.0ms605×body320valid
13.0ms325×body160valid