Details

Time bar (total: 27.7s)

sample264.0ms

Algorithm
intervals
Results
149.0ms98×body1280valid
66.0ms88×body640valid
19.0ms44×body320valid
10.0ms256×pre80true
5.0ms19×body160valid
1.0ms7×body80valid

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
23.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize27.0ms

Local error

Found 3 expressions with local error:

4.7b
(log (+ 1 x))
4.7b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite61.0ms

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
27.0ms
(log (+ 1 x))
24.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
9.0ms
(log (- 1 x))

series170.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
95.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
40.0ms
(log (+ 1 x))
35.0ms
(log (- 1 x))

simplify4.5s

Counts
67 → 82
Calls
67 calls:
Slowest
813.0ms
(- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))
461.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
371.0ms
(- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x)))))
365.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
340.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))

prune808.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
4×add-sqr-sqrt
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-+l+ sum-log insert-posit16
1×+-commutative sub-neg flip3-+ diff-log associate-*l* *-commutative associate-+l- flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
Slowest
41.0ms
(+ (- -1 x) (* (* x x) -1/2))
31.0ms
(* (* x x) -1/2)

series81.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(* (* x x) -1/2)
33.0ms
(+ (- -1 x) (* (* x x) -1/2))

simplify1.4s

Counts
18 → 42
Calls
18 calls:
Slowest
230.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
202.0ms
(* (exp (- -1 x)) (exp (* (* x x) -1/2)))
200.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
181.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
172.0ms
(* (/ (exp -1) (exp x)) (exp (* (* x x) -1/2)))

prune296.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

4.7b
(log (+ (* 1 1) (+ (* x x) (* 1 x))))
4.7b
(log (+ 1 x))
3.3b
(log (- 1 (* x (* x x))))
0.1b
(* x (* x x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
12×add-exp-log
11×log-prod *-un-lft-identity
9×add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt
6×log-div
5×pow-prod-up
4×insert-posit16 add-log-exp
3×rem-log-exp associate-*l* pow-prod-down prod-exp log-pow cbrt-unprod
2×flip3-+ flip-+ distribute-lft-out
1×pow2 pow-plus flip3-- cube-unmult associate-*r* pow-sqr *-commutative flip-- unswap-sqr
Counts
4 → 72
Calls
4 calls:
Slowest
24.0ms
(* x (* x x))
13.0ms
(log (+ (* 1 1) (+ (* x x) (* 1 x))))
3.0ms
(log (- 1 (* x (* x x))))
3.0ms
(log (+ 1 x))

series608.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
480.0ms
(log (- 1 (* x (* x x))))
58.0ms
(* x (* x x))
35.0ms
(log (+ (* 1 1) (+ (* x x) (* 1 x))))
35.0ms
(log (+ 1 x))

simplify4.9s

Counts
46 → 84
Calls
46 calls:
Slowest
526.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
435.0ms
(- (+ (* 1/3 (pow x 9)) (+ (* 1/2 (pow x 6)) (pow x 3))))
434.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
325.0ms
(- (log -1) (+ (* 3 (log (/ 1 x))) (+ (/ 1 (pow x 3)) (* 1/2 (/ 1 (pow x 6))))))
324.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))

prune633.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

4.7b
(log (+ 1 x))
4.7b
(log (+ 1 x))
4.7b
(log (+ 1 x))
4.7b
(log (- 1 x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
17×*-un-lft-identity
11×add-sqr-sqrt
8×pow1 log-div add-exp-log add-cube-cbrt
4×add-cbrt-cube rem-log-exp log-pow insert-posit16 add-log-exp
3×flip3-+ flip-+ distribute-lft-out
2×difference-of-squares
1×flip3-- flip-- distribute-lft-out--
Counts
4 → 66
Calls
4 calls:
Slowest
7.0ms
(log (- 1 x))
6.0ms
(log (+ 1 x))
6.0ms
(log (+ 1 x))
6.0ms
(log (+ 1 x))

series121.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
40.0ms
(log (- 1 x))
33.0ms
(log (+ 1 x))
26.0ms
(log (+ 1 x))
22.0ms
(log (+ 1 x))

simplify3.4s

Counts
42 → 78
Calls
42 calls:
Slowest
376.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
348.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
340.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
313.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
242.0ms
(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune872.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample9.4s

Algorithm
intervals
Results
5.8s3347×body1280valid
2.1s2479×body640valid
689.0ms1276×body320valid
357.0ms8000×pre80true
182.0ms673×body160valid
61.0ms225×body80valid