Details

Time bar (total: 32.3s)

sample283.0ms

Algorithm
intervals
Results
191.0ms124×body1280valid
47.0ms59×body640valid
18.0ms44×body320valid
10.0ms256×pre80true
5.0ms20×body160valid
1.0ms9×body80valid

simplify12.0ms

Calls
1 calls:
Slowest
12.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize13.0ms

Local error

Found 3 expressions with local error:

5.5b
(log (- 1 x))
5.4b
(log (+ 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite49.0ms

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--
Calls
3 calls:
Slowest
41.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
3.0ms
(log (- 1 x))
3.0ms
(log (+ 1 x))

series155.0ms

Calls
3 calls:
Slowest
91.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
37.0ms
(log (- 1 x))
26.0ms
(log (+ 1 x))

simplify4.7s

Calls
67 calls:
Slowest
825.0ms
(- (+ (/ (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)))))))))))
462.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
414.0ms
(- (+ (* 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)))))
384.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
349.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune790.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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
Calls
2 calls:
Slowest
31.0ms
(+ (- -1 x) (* (* x x) -1/2))
16.0ms
(* (* x x) -1/2)

series83.0ms

Calls
2 calls:
Slowest
49.0ms
(* (* x x) -1/2)
35.0ms
(+ (- -1 x) (* (* x x) -1/2))

simplify1.5s

Calls
18 calls:
Slowest
234.0ms
(* (exp (- -1 x)) (exp (* (* x x) -1/2)))
230.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
226.0ms
(* (/ (exp -1) (exp x)) (exp (* (* x x) -1/2)))
223.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
167.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune256.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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
Calls
1 calls:
Slowest
14.0ms
(* (* x x) -1/2)

series42.0ms

Calls
1 calls:
Slowest
42.0ms
(* (* x x) -1/2)

simplify539.0ms

Calls
13 calls:
Slowest
225.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
200.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
24.0ms
(* (* x x) -1/2)
17.0ms
(* (* x x) -1/2)
14.0ms
(+ (log (* x x)) (log -1/2))

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* x x) -1/2) (* (* x x) -1/2))
0.1b
(pow (* (* x x) -1/2) 3)
0.0b
(pow (- -1 x) 3)
0.0b
(* (- -1 x) (- -1 x))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
132×pow1
70×pow-prod-down
49×add-cbrt-cube add-exp-log
31×prod-exp cbrt-unprod
30×*-un-lft-identity
26×add-sqr-sqrt
12×add-cube-cbrt
10×pow-sqr pow-prod-up
8×swap-sqr distribute-lft-out--
7×flip3-- flip--
6×pow-unpow unpow-prod-down cube-prod associate-*r* associate-*l* difference-of-squares
4×frac-times pow-pow pow-plus pow-exp insert-posit16 add-log-exp rem-cube-cbrt
2×cube-div pow2 distribute-rgt-in cube-mult pow-to-exp sub-neg distribute-lft-in unpow3 associate-*l/ associate-*r/ *-commutative sqr-pow
1×unswap-sqr
Calls
4 calls:
Slowest
108.0ms
(* (* (* x x) -1/2) (* (* x x) -1/2))
46.0ms
(* (- -1 x) (- -1 x))
25.0ms
(pow (* (* x x) -1/2) 3)
11.0ms
(pow (- -1 x) 3)

series230.0ms

Calls
4 calls:
Slowest
97.0ms
(pow (* (* x x) -1/2) 3)
70.0ms
(* (* (* x x) -1/2) (* (* x x) -1/2))
41.0ms
(pow (- -1 x) 3)
21.0ms
(* (- -1 x) (- -1 x))

simplify11.9s

Calls
159 calls:
Slowest
621.0ms
(* (* (* (* (* x x) -1/2) (* (* x x) -1/2)) (* (* x x) -1/2)) (* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2)))
490.0ms
(pow (- (* -1 -1) (* x x)) 3)
473.0ms
(* (+ (* -1 -1) (+ (* x x) (* -1 x))) (+ (* -1 -1) (+ (* x x) (* -1 x))))
389.0ms
(* (* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2)) (* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2)))
339.0ms
(* (- (* -1 -1) (* x x)) (- (pow -1 3) (pow x 3)))

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes49.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample9.4s

Algorithm
intervals
Results
5.9s3506×body1280valid
2.2s2420×body640valid
651.0ms1260×body320valid
359.0ms8000×pre80true
161.0ms616×body160valid
23.0ms198×body80valid