Details

Time bar (total: 1.8s)

sample38.0ms

Algorithm
intervals
Results
14.0ms104×body1280valid
6.0ms75×body640valid
3.0ms359×pre80true
2.0ms48×body320valid
1.0ms109×body80valid
1.0ms23×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272
done72

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize3.0ms

Local error

Found 1 expressions with local error:

8.2b
(- (exp x) 1.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
10.0ms
(- (exp x) 1.0)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(- (exp x) 1.0)

simplify54.0ms

Counts
17 → 17
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266
done500266

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
add-exp-log
add-cube-cbrt *-un-lft-identity
associate-*r* add-cbrt-cube
unswap-sqr
pow1 unpow-prod-down prod-exp
associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
32.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms
(* x 1/6)

series83.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms
(* x 1/6)

simplify43.0ms

Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0247239
11168216
25001216
done5001216

prune95.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

8.1b
(log (exp (- (exp x) 1.0)))
8.2b
(- (exp x) 1.0)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
log-pow
log-prod exp-prod
add-cube-cbrt add-log-exp
pow1
add-exp-log sub-neg exp-sum add-cbrt-cube distribute-lft-out-- difference-of-squares
log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
2 → 34
Calls
2 calls:
26.0ms
(log (exp (- (exp x) 1.0)))
10.0ms
(- (exp x) 1.0)

series31.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(log (exp (- (exp x) 1.0)))
15.0ms
(- (exp x) 1.0)

simplify64.0ms

Counts
40 → 40
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0120161
1277146
2652144
31859144
45001144
done5001144

prune55.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135
done135

end0.0ms

sample1.2s

Algorithm
intervals
Results
489.0ms3420×body1280valid
214.0ms2503×body640valid
98.0ms11867×pre80true
69.0ms1256×body320valid
46.0ms4060×body80valid
23.0ms628×body160valid