Details

Time bar (total: 22.3s)

sample54.0ms

Algorithm
intervals
Results
21.0ms111×body1280valid
10.0ms86×body640valid
5.0ms379×pre80true
3.0ms35×body320valid
2.0ms128×body80valid
1.0ms19×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
164
274
done74

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) 1.0)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
prod-diff
add-cube-cbrt
fma-neg add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
38.0ms
(- (exp x) 1.0)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- (exp x) 1.0)

simplify3.6s

Counts
31 → 31
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
066376
1142288
2272231
3799204
42411175
done5001175

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x 1/6 1/2)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma x 1/6 1/2)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma x 1/6 1/2)

simplify7.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01678
12075
24267
313667
440567
5159567
6457367
done500067

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp x) 1.0))
5.1b
(- (exp x) 1.0)
5.1b
(- (exp x) 1.0)
5.1b
(- (exp x) 1.0)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt *-un-lft-identity
27×prod-diff
26×add-cube-cbrt
10×add-log-exp
fma-neg
cbrt-prod
pow1 add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
sub-neg diff-log
cbrt-div
pow1/3
Counts
4 → 101
Calls
4 calls:
12.0ms
(cbrt (- (exp x) 1.0))
16.0ms
(- (exp x) 1.0)
16.0ms
(- (exp x) 1.0)
22.0ms
(- (exp x) 1.0)

series192.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- (exp x) 1.0))
16.0ms
(- (exp x) 1.0)
16.0ms
(- (exp x) 1.0)
17.0ms
(- (exp x) 1.0)

simplify3.8s

Counts
113 → 113
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
0971328
12001052
2395850
31047765
43675678
done5000678

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(cbrt (pow (- (exp x) 1.0) 3))
0.1b
(pow (- (exp x) 1.0) 3)
5.1b
(- (exp x) 1.0)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod add-cube-cbrt
10×unpow-prod-down cube-prod
prod-diff
distribute-lft-out-- add-log-exp difference-of-squares
pow1 add-exp-log cube-div add-cbrt-cube
expm1-log1p-u pow-unpow flip3-- fma-neg flip-- log1p-expm1-u
cube-mult cbrt-div unpow3 sqr-pow
pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 88
Calls
3 calls:
14.0ms
(cbrt (pow (- (exp x) 1.0) 3))
19.0ms
(pow (- (exp x) 1.0) 3)
25.0ms
(- (exp x) 1.0)

series93.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(cbrt (pow (- (exp x) 1.0) 3))
45.0ms
(pow (- (exp x) 1.0) 3)
32.0ms
(- (exp x) 1.0)

simplify3.9s

Counts
97 → 97
Iterations

Useful iterations: done (3.9s)

IterNodesCost
01291157
1287867
2738775
34567739
done5000737

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
done79

end0.0ms

sample2.2s

Algorithm
intervals
Results
932.0ms3462×body1280valid
479.0ms2479×body640valid
172.0ms11929×pre80true
140.0ms4115×body80valid
114.0ms1228×body320valid
38.0ms645×body160valid