Details

Time bar (total: 17.0s)

sample281.0ms

Algorithm
intervals
Results
181.0ms116×body1280valid
60.0ms86×body640valid
13.0ms33×body320valid
9.0ms256×pre80true
3.0ms14×body160valid
1.0ms7×body80valid

simplify16.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize22.0ms

Local error

Found 3 expressions with local error:

4.9b
(log (+ 1 x))
4.8b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
10×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×insert-posit16 add-log-exp
2×flip3-- div-sub rem-log-exp flip-- difference-of-squares
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out--
Counts
3 → 73
Calls
3 calls:
Slowest
19.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
6.0ms
(log (- 1 x))
6.0ms
(log (+ 1 x))

series174.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
100.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
40.0ms
(log (+ 1 x))
33.0ms
(log (- 1 x))

simplify1.6s

Counts
82 → 82

prune577.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ -1 (* (* x x) -1/2)) x)
0.0b
(* (* x x) -1/2)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
6×add-sqr-sqrt
5×*-un-lft-identity
3×associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×diff-log insert-posit16
1×sum-log sub-neg flip3-- associate-*l* associate--l+ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 37
Calls
2 calls:
Slowest
21.0ms
(- (+ -1 (* (* x x) -1/2)) x)
14.0ms
(* (* x x) -1/2)

series48.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
27.0ms
(* (* x x) -1/2)
21.0ms
(- (+ -1 (* (* x x) -1/2)) x)

simplify631.0ms

Counts
43 → 43

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* x x) -1/2)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×associate-*l* *-commutative insert-posit16 add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
Slowest
27.0ms
(* (* x x) -1/2)

series34.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(* (* x x) -1/2)

simplify2.4s

Counts
23 → 23

prune158.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

2.5b
(log (exp (* (* x x) -1/2)))
0.0b
(- (+ -1 (log (exp (* (* x x) -1/2)))) x)
0.0b
(* (* x x) -1/2)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×pow1
8×add-sqr-sqrt add-cbrt-cube add-exp-log add-log-exp
5×add-cube-cbrt
4×log-pow
3×log-prod associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 distribute-lft-out--
2×diff-log distribute-lft-out
1×exp-prod sum-log sub-neg flip3-- exp-to-pow rem-log-exp associate-*l* associate--l+ *-commutative flip-- difference-of-squares unswap-sqr
Counts
3 → 54
Calls
3 calls:
Slowest
45.0ms
(- (+ -1 (log (exp (* (* x x) -1/2)))) x)
25.0ms
(* (* x x) -1/2)
7.0ms
(log (exp (* (* x x) -1/2)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(* (* x x) -1/2)
33.0ms
(- (+ -1 (log (exp (* (* x x) -1/2)))) x)
33.0ms
(log (exp (* (* x x) -1/2)))

simplify872.0ms

Counts
63 → 63

prune431.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes66.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample9.1s

Algorithm
intervals
Results
5.2s3371×body1280valid
2.5s2527×body640valid
538.0ms1239×body320valid
427.0ms8000×pre80true
165.0ms637×body160valid
27.0ms226×body80valid