Details

Time bar (total: 22.1s)

sample135.0ms

Algorithm
intervals
Results
85.0ms94×body10240exit
21.0ms262×body80valid
9.0ms11×body1280valid
5.0ms9×body640valid
2.0ms6×body320valid
1.0ms5×body160valid

simplify33.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:
Slowest
18.0ms
(log (+ 1 (exp x)))
18.0ms
(- (log (+ 1 (exp x))) (* x y))
4.0ms
(+ 1 (exp x))

series149.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
89.0ms
(log (+ 1 (exp x)))
51.0ms
(- (log (+ 1 (exp x))) (* x y))
9.0ms
(+ 1 (exp x))

simplify1.2s

Counts
57 → 57

prune589.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

4.3b
(log (+ 1 (* (- (exp x) 1) (exp x))))
4.3b
(- (exp x) 1)
0.0b
(pow (exp x) 3)
0.0b
(- (log (+ (pow 1 3) (pow (exp x) 3))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
16×add-sqr-sqrt
13×log-prod
10×associate--l+ add-cube-cbrt
8×add-log-exp
7×pow1 unpow-prod-down cube-prod
6×log-div distribute-lft-out
5×add-cbrt-cube add-exp-log
4×pow-pow insert-posit16
3×pow-unpow exp-prod flip3-+ diff-log flip-+ distribute-lft-out-- difference-of-squares
2×associate--l- cube-mult associate-+r- sub-neg flip3-- log-pow flip-- associate--r-
1×pow-to-exp sum-log unpow3 difference-of-sqr-1 rem-log-exp pow-exp sum-cubes associate--r+ rem-cube-cbrt sqr-pow
Counts
4 → 91
Calls
4 calls:
Slowest
33.0ms
(- (log (+ (pow 1 3) (pow (exp x) 3))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))))
8.0ms
(- (exp x) 1)
3.0ms
(pow (exp x) 3)
3.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(- (log (+ (pow 1 3) (pow (exp x) 3))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))))
161.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))
39.0ms
(pow (exp x) 3)
25.0ms
(- (exp x) 1)

simplify2.4s

Counts
103 → 103

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize139.0ms

Local error

Found 4 expressions with local error:

16.1b
(/ (- (pow (log (+ (pow 1 3) (pow (exp x) 3))) 3) (pow (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))) 3)) (+ (* (log (+ (pow 1 3) (pow (exp x) 3))) (log (+ (pow 1 3) (pow (exp x) 3)))) (+ (* (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x)))))) (* (log (+ (pow 1 3) (pow (exp x) 3))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x)))))))))
4.3b
(log (+ 1 (* (- (exp x) 1) (exp x))))
4.3b
(log (+ 1 (* (- (exp x) 1) (exp x))))
4.3b
(log (+ 1 (* (- (exp x) 1) (exp x))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
137×add-sqr-sqrt
97×*-un-lft-identity
87×times-frac
64×unpow-prod-down cube-prod difference-of-squares
41×add-cube-cbrt
36×distribute-lft-out--
32×sqr-pow
29×associate-/l*
23×pow1
19×log-pow
9×log-prod add-exp-log
6×log-div add-cbrt-cube
4×difference-cubes flip3-+ flip-+ insert-posit16 add-log-exp
3×associate-/r* rem-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp div-inv flip--
Counts
4 → 182
Calls
4 calls:
Slowest
216.0ms
(/ (- (pow (log (+ (pow 1 3) (pow (exp x) 3))) 3) (pow (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))) 3)) (+ (* (log (+ (pow 1 3) (pow (exp x) 3))) (log (+ (pow 1 3) (pow (exp x) 3)))) (+ (* (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x)))))) (* (log (+ (pow 1 3) (pow (exp x) 3))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x)))))))))
3.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))
2.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))
2.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
677.0ms
(/ (- (pow (log (+ (pow 1 3) (pow (exp x) 3))) 3) (pow (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))) 3)) (+ (* (log (+ (pow 1 3) (pow (exp x) 3))) (log (+ (pow 1 3) (pow (exp x) 3)))) (+ (* (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x))))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x)))))) (* (log (+ (pow 1 3) (pow (exp x) 3))) (+ (* x y) (log (+ 1 (* (- (exp x) 1) (exp x)))))))))
140.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))
119.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))
117.0ms
(log (+ 1 (* (- (exp x) 1) (exp x))))

simplify2.0s

Counts
194 → 194

prune4.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.4b
(log (/ (+ (exp x) 1) (exp (* x y))))
0.0b
(/ (+ (exp x) 1) (exp (* x y)))
0.0b
(+ (exp x) 1)
0.0b
(exp (* x y))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
16×log-prod
8×distribute-lft-out add-log-exp
7×add-exp-log
6×add-cbrt-cube
5×pow1
4×insert-posit16 associate-/l*
3×associate-/r*
2×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/
1×cbrt-undiv +-commutative log-div exp-prod clear-num sum-log frac-2neg exp-to-pow log-pow rem-exp-log
Counts
4 → 86
Calls
4 calls:
Slowest
54.0ms
(/ (+ (exp x) 1) (exp (* x y)))
13.0ms
(+ (exp x) 1)
8.0ms
(log (/ (+ (exp x) 1) (exp (* x y))))
8.0ms
(exp (* x y))

series150.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(log (/ (+ (exp x) 1) (exp (* x y))))
49.0ms
(/ (+ (exp x) 1) (exp (* x y)))
16.0ms
(exp (* x y))
14.0ms
(+ (exp x) 1)

simplify1.7s

Counts
98 → 98

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch9.0ms

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.3s2394×body10240exit
880.0ms8340×body80valid
486.0ms184×body320valid
198.0ms280×body640valid
137.0ms123×body1280valid
23.0ms107×body160valid