Details

Time bar (total: 5.0s)

sample25.0ms

Algorithm
intervals
Results
10.0ms64×body1280valid
3.0ms46×body640valid
3.0ms120×body80valid
1.0ms14×body320valid
0.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

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))

rewrite63.0ms

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)
53.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series417.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
183.0ms
(cbrt x)
148.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04301315
113941045
25001981

prune241.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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)))

series731.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
180.0ms
(cbrt x)
185.0ms
(cbrt x)
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify143.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune242.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 14.4b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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

series744.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
185.0ms
(cbrt x)
184.0ms
(cbrt x)
185.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify150.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune277.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 14.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
10.8b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

rewrite52.0ms

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--
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
49.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
184.0ms
(cbrt x)
177.0ms
(cbrt x)
177.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0276545
11038477
25002467

prune225.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 14.4b

regimes87.0ms

Accuracy

99.1% (0.2b remaining)

Error of 12.1b against oracle of 11.9b and baseline of 29.9b

bsearch106.0ms

Steps
ItersRangePoint
9
41.96612619086958
53435221.69579046
3499.391836415476
9
-2.2416572831102474e+67
-1.1338306065556767e+59
-4.525663893489231e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07464
17464

end0.0ms

sample533.0ms

Algorithm
intervals
Results
172.0ms1724×body1280valid
92.0ms1240×body640valid
89.0ms4091×body80valid
35.0ms630×body320valid
12.0ms315×body160valid