Details

Time bar (total: 20.8s)

sample296.0ms

Algorithm
intervals
Results
179.0ms114×body1280valid
59.0ms73×body640valid
17.0ms256×pre80true
16.0ms32×body320valid
8.0ms29×body160valid
1.0ms8×body80valid

simplify20.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
20.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.8b

localize10.0ms

Local error

Found 2 expressions with local error:

7.8b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log1p x))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
7×pow1
6×log-prod
5×add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u log1p-def flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg div-exp rem-log-exp div-inv distribute-lft-out--
Counts
2 → 58
Calls
2 calls:
Slowest
26.0ms
(log (- 1 x))
24.0ms
(/ (log (- 1 x)) (log1p x))

series125.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
93.0ms
(/ (log (- 1 x)) (log1p x))
32.0ms
(log (- 1 x))

simplify3.9s

Counts
50 → 64
Calls
50 calls:
Slowest
794.0ms
(- (+ (/ (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)))))))))))
476.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
472.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
404.0ms
(- (+ (* 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)))))
350.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune264.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (log1p (- x)) (log1p x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
7.0ms
(/ (log1p (- x)) (log1p x))

series93.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
93.0ms
(/ (log1p (- x)) (log1p x))

simplify1.9s

Counts
28 → 33
Calls
28 calls:
Slowest
738.0ms
(- (+ (/ (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)))))))))))
408.0ms
(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
354.0ms
(- (+ (* 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)))))
165.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
47.0ms
(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune218.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (log1p (- x)) (/ 1 (log1p x)))
0.0b
(/ 1 (log1p x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 73
Calls
2 calls:
Slowest
16.0ms
(* (log1p (- x)) (/ 1 (log1p x)))
4.0ms
(/ 1 (log1p x))

series157.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
107.0ms
(* (log1p (- x)) (/ 1 (log1p x)))
50.0ms
(/ 1 (log1p x))

simplify3.8s

Counts
63 → 79
Calls
63 calls:
Slowest
796.0ms
(- (+ (/ (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)))))))))))
457.0ms
(* (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (/ 1 (log1p x)) (/ 1 (log1p x))) (/ 1 (log1p x))))
398.0ms
(- (+ (* 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)))))
358.0ms
(* (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (/ (* (* 1 1) 1) (* (* (log1p x) (log1p x)) (log1p x))))
220.0ms
(- (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (- (log -1) (log (/ -1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))))) (/ 1 (* x (pow (- (log -1) (log (/ -1 x))) 2))))

prune563.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample9.2s

Algorithm
intervals
Results
5.3s3369×body1280valid
2.2s2545×body640valid
602.0ms1219×body320valid
535.0ms658×body160valid
378.0ms8000×pre80true
24.0ms209×body80valid