Details

Time bar (total: 14.1s)

sample61.0ms

Algorithm
intervals
Results
26.0ms111×body1280valid
10.0ms79×body640valid
8.0ms365×pre80true
4.0ms45×body320valid
3.0ms113×body80valid
1.0ms17×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
04

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.0b
(- (exp x) 1)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
add-log-exp
difference-of-squares
pow1 sub-neg flip3-- add-cbrt-cube diff-log difference-of-sqr-1 add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 17
Calls
1 calls:
12.0ms
(- (exp x) 1)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(- (exp x) 1)

simplify2.2s

Counts
20 → 20
Iterations
IterNodes
done5007
52653
41333
3609
2233
192
042

prune87.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity associate-*r* add-cube-cbrt
add-log-exp
associate-*l* pow-prod-down prod-exp cbrt-unprod
insert-posit16
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ *-commutative flip-+ unswap-sqr
+-commutative sum-log
Counts
3 → 57
Calls
3 calls:
13.0ms
(+ x (* (* x x) (+ (* x 1/6) 1/2)))
40.0ms
(* (* x x) (+ (* x 1/6) 1/2))
5.0ms
(* x 1/6)

series167.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (* (* x x) (+ (* x 1/6) 1/2)))
102.0ms
(* (* x x) (+ (* x 1/6) 1/2))
32.0ms
(* x 1/6)

simplify1.5s

Counts
66 → 66
Iterations
IterNodes
done5001
21401
1332
0102

prune256.0ms

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))
5.0b
(- (exp x) 1)
5.0b
(- (exp x) 1)
5.0b
(- (exp x) 1)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×*-un-lft-identity
10×add-log-exp
difference-of-squares
cbrt-prod
add-cube-cbrt
pow1 flip3-- add-cbrt-cube difference-of-sqr-1 add-exp-log insert-posit16 flip-- distribute-lft-out--
sub-neg diff-log
cbrt-div
pow1/3
Counts
4 → 69
Calls
4 calls:
6.0ms
(cbrt (- (exp x) 1))
9.0ms
(- (exp x) 1)
8.0ms
(- (exp x) 1)
8.0ms
(- (exp x) 1)

series162.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (- (exp x) 1))
15.0ms
(- (exp x) 1)
27.0ms
(- (exp x) 1)
18.0ms
(- (exp x) 1)

simplify2.5s

Counts
81 → 81
Iterations
IterNodes
done5000
42549
3868
2359
1153
074

prune296.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

4.9b
(log (exp (+ -1 (exp x))))
5.0b
(+ -1 (exp x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
log-pow
add-sqr-sqrt log-prod exp-prod add-cube-cbrt add-log-exp
pow1
add-cbrt-cube add-exp-log insert-posit16 distribute-lft-out
+-commutative sum-log flip3-+ rem-log-exp exp-sum flip-+
Counts
2 → 31
Calls
2 calls:
32.0ms
(log (exp (+ -1 (exp x))))
10.0ms
(+ -1 (exp x))

series50.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(log (exp (+ -1 (exp x))))
24.0ms
(+ -1 (exp x))

simplify3.4s

Counts
37 → 37
Iterations
IterNodes
done5001
54538
41915
3829
2334
1138
061

prune167.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s3458×body1280valid
493.0ms4091×body80valid
468.0ms2490×body640valid
305.0ms11926×pre80true
180.0ms1256×body320valid
82.0ms631×body160valid