Details

Time bar (total: 18.0s)

sample84.0ms

Algorithm
intervals
Results
45.0ms75×body10240exit
21.0ms280×body80valid
4.0ms9×body640valid
3.0ms5×body1280valid
1.0ms4×body320valid
0.0ms1×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
321
221
114
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1 (exp x))
0.0b
(- (log (+ 1 (exp x))) (* x y))
0.3b
(log (+ 1 (exp x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×log-prod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 log-div associate--l+ add-exp-log
3×flip3-+ add-cbrt-cube flip-+ insert-posit16 distribute-lft-out
2×associate--l-
1×+-commutative sum-log sub-neg flip3-- diff-log rem-log-exp log-pow flip--
Counts
3 → 48
Calls
3 calls:
16.0ms
(+ 1 (exp x))
8.0ms
(- (log (+ 1 (exp x))) (* x y))
4.0ms
(log (+ 1 (exp x)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ 1 (exp x))
64.0ms
(- (log (+ 1 (exp x))) (* x y))
54.0ms
(log (+ 1 (exp x)))

simplify1.5s

Counts
57 → 57
Iterations
IterNodes
43148
31064
2410
1190
084

prune444.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1 (exp x))
0.0b
(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
1.0b
(log (sqrt (+ 1 (exp x))))
1.0b
(log (sqrt (+ 1 (exp x))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
14×log-prod *-un-lft-identity
9×add-log-exp
8×add-sqr-sqrt pow1 log-div sqrt-div add-cube-cbrt sqrt-prod
6×add-exp-log log-pow
5×flip3-+ flip-+
4×associate--l- add-cbrt-cube insert-posit16
3×distribute-lft-out
2×associate-+r- sum-log sqrt-pow1 pow1/2 diff-log rem-log-exp associate-+l-
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 74
Calls
4 calls:
8.0ms
(+ 1 (exp x))
65.0ms
(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
12.0ms
(log (sqrt (+ 1 (exp x))))
4.0ms
(log (sqrt (+ 1 (exp x))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ 1 (exp x))
157.0ms
(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
122.0ms
(log (sqrt (+ 1 (exp x))))
105.0ms
(log (sqrt (+ 1 (exp x))))

simplify751.0ms

Counts
86 → 86
Iterations
IterNodes
32453
2765
1278
0123

prune888.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (+ 1 (exp x)))
0.3b
(log (+ 1 (exp x)))
0.7b
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
10.6b
(/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1 (exp x))) (* x y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
23×add-sqr-sqrt
21×add-cube-cbrt
19×pow1
16×log-prod
12×times-frac
10×add-exp-log
8×add-cbrt-cube log-pow
6×swap-sqr
4×distribute-rgt-in log-div distribute-lft-in associate-*r* associate-*l* insert-posit16 distribute-lft-out associate-/l* add-log-exp difference-of-squares
3×associate-/r* flip3-+ flip-+
2×rem-log-exp associate-/r/ associate-/l/
1×pow2 cbrt-undiv clear-num frac-2neg pow-plus flip3-- div-sub div-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv flip-- unswap-sqr
Counts
4 → 108
Calls
4 calls:
8.0ms
(log (+ 1 (exp x)))
5.0ms
(log (+ 1 (exp x)))
12.0ms
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
49.0ms
(/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1 (exp x))) (* x y)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(log (+ 1 (exp x)))
54.0ms
(log (+ 1 (exp x)))
79.0ms
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
142.0ms
(/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1 (exp x))) (* x y)))

simplify2.3s

Counts
120 → 120
Iterations
IterNodes
36435
21524
1408
0158

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (+ 1 (exp x)))
0.3b
(log (+ 1 (exp x)))
0.7b
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
10.1b
(* (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y))) (/ 1 (+ (log (+ 1 (exp x))) (* x y))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
29×add-sqr-sqrt
21×pow1
20×add-cube-cbrt
19×associate-*r*
17×add-exp-log
16×log-prod
11×times-frac add-cbrt-cube
8×associate-*l* log-pow
6×swap-sqr
5×prod-exp
4×distribute-rgt-in log-div distribute-lft-in insert-posit16 distribute-lft-out add-log-exp unswap-sqr
3×flip3-+ cbrt-unprod flip-+
2×frac-times flip3-- div-exp rem-log-exp pow-prod-down associate-*l/ associate-/r/ *-commutative flip--
1×pow2 cbrt-undiv rec-exp pow-plus 1-exp associate-*r/ pow-sqr un-div-inv pow-prod-up div-inv difference-of-squares
Counts
4 → 115
Calls
4 calls:
7.0ms
(log (+ 1 (exp x)))
10.0ms
(log (+ 1 (exp x)))
15.0ms
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
34.0ms
(* (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y))) (/ 1 (+ (log (+ 1 (exp x))) (* x y))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(log (+ 1 (exp x)))
58.0ms
(log (+ 1 (exp x)))
84.0ms
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
147.0ms
(* (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y))) (/ 1 (+ (log (+ 1 (exp x))) (* x y))))

simplify3.4s

Counts
127 → 127
Iterations
IterNodes
36191
21567
1482
0181

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes67.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
214
114
010

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.7s2463×body10240exit
909.0ms8423×body80valid
178.0ms138×body1280valid
163.0ms235×body640valid
58.0ms171×body320valid
25.0ms113×body160valid