Details

Time bar (total: 5.5s)

sample22.0ms

Algorithm
intervals
Results
6.0ms56×body1280valid
4.0ms44×body640valid
3.0ms125×body80valid
1.0ms20×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: 31.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite60.0ms

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)
49.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series387.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(cbrt (+ x 1.0))
170.0ms
(cbrt x)
135.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04301315
113941045
25001981

prune246.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 19.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series692.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
180.0ms
(cbrt x)
170.0ms
(cbrt x)
164.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify140.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune240.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 13.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
9.6b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
46.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

series876.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
248.0ms
(cbrt (cbrt x))
271.0ms
(cbrt (* (cbrt x) (cbrt x)))
173.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0337612
11187540
25001524

prune299.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 13.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
14.7b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
93.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))))))

series935.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt (cbrt x))
248.0ms
(cbrt (cbrt x))
275.0ms
(cbrt (* (cbrt x) (cbrt x)))
178.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0322849
11131755
25001735

prune332.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 13.8b

regimes159.0ms

Accuracy

99.1% (0.2b remaining)

Error of 12.2b against oracle of 12.1b and baseline of 30.4b

bsearch113.0ms

Steps
ItersRangePoint
8
9.114942375872904
154062.39550417996
3522.541069158396
10
-8.58470807685748e+66
-3.383504290440664e+54
-4.4332874833874156e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07771
17771

end0.0ms

sample601.0ms

Algorithm
intervals
Results
205.0ms1801×body1280valid
110.0ms1269×body640valid
94.0ms4003×body80valid
41.0ms601×body320valid
14.0ms326×body160valid