Details

Time bar (total: 16.6s)

sample34.0ms

Algorithm
intervals
Results
11.0ms59×body1280valid
5.0ms138×body80valid
5.0ms35×body640valid
2.0ms15×body320valid
1.0ms9×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2107
done107

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite116.0ms

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)
107.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series597.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(cbrt (+ x 1.0))
264.0ms
(cbrt x)
207.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.3s

Counts
108 → 108
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01942160
14331776
29941468
329991265
done50001254

prune398.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
9.1b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
6×cbrt-div prod-diff add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×sub-neg flip3-- fma-neg diff-log flip--
Counts
4 → 69
Calls
4 calls:
8.0ms
(cbrt (+ x 1.0))
9.0ms
(cbrt (cbrt (+ x 1.0)))
2.0ms
(cbrt x)
72.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series747.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (+ x 1.0))
135.0ms
(cbrt (cbrt (+ x 1.0)))
264.0ms
(cbrt x)
205.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify2.8s

Counts
81 → 81
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02121363
14891254
212851146
33943989
done5000985

prune570.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 9.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (+ x 1.0)))
0.3b
(cbrt (cbrt (cbrt (+ x 1.0))))
0.6b
(cbrt x)
12.3b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (cbrt x))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
10×cbrt-div
6×prod-diff add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×sub-neg flip3-- fma-neg diff-log flip--
Counts
4 → 75
Calls
4 calls:
9.0ms
(cbrt (cbrt (+ x 1.0)))
10.0ms
(cbrt (cbrt (cbrt (+ x 1.0))))
2.0ms
(cbrt x)
276.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (cbrt x))

series856.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (cbrt (+ x 1.0)))
142.0ms
(cbrt (cbrt (cbrt (+ x 1.0))))
316.0ms
(cbrt x)
262.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (cbrt x))

simplify1.6s

Counts
87 → 87
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02631861
15991753
216181624
done50011494

prune666.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 9.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (+ x 1.0)))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
28.0b
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 61
Calls
4 calls:
9.0ms
(cbrt (cbrt (+ x 1.0)))
9.0ms
(cbrt (cbrt (+ x 1.0)))
2.0ms
(cbrt x)
1.0ms
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (cbrt (+ x 1.0)))
128.0ms
(cbrt (cbrt (+ x 1.0)))
258.0ms
(cbrt x)
413.0ms
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify2.7s

Counts
73 → 73
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01711065
13791026
2979841
32822733
done5001703

prune341.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 9.2b

regimes83.0ms

Accuracy

98.3% (0.4b remaining)

Error of 8.8b against oracle of 8.4b and baseline of 29.7b

bsearch99.0ms

Steps
ItersRangePoint
9
3.244205803610274e-06
1902.9075791774285
2.4928643697111983e-05
9
-3592450.023809973
-45.38980787391071
-5360.111716394548

simplify21.0ms

Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
04775
15469
done5469

end0.0ms

sample1.2s

Algorithm
intervals
Results
393.0ms1684×body1280valid
309.0ms4141×body80valid
198.0ms1260×body640valid
100.0ms608×body320valid
22.0ms307×body160valid