Details

Time bar (total: 31.9s)

sample267.0ms

Algorithm
intervals
Results
147.0ms111×body1280valid
59.0ms87×body640valid
27.0ms241×body80nan
12.0ms30×body320valid
6.0ms24×body160valid
0.0ms4×body80valid

simplify161.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
160.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize24.0ms

Local error

Found 2 expressions with local error:

5.9b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
52×add-sqr-sqrt
48×times-frac
30×log-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
7×add-exp-log
6×associate-/r*
4×add-cbrt-cube associate-/r/ associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 97
Calls
2 calls:
Slowest
27.0ms
(/ (+ x 1) (- 1 x))
11.0ms
(log (/ (+ x 1) (- 1 x)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
81.0ms
(log (/ (+ x 1) (- 1 x)))
26.0ms
(/ (+ x 1) (- 1 x))

simplify4.5s

Counts
101 → 103
Calls
101 calls:
Slowest
476.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
419.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
391.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
319.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
277.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune597.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (fma 2/3 (* x x) 2))
0.0b
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
Slowest
8.0ms
(* x (fma 2/3 (* x x) 2))
0.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

series217.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
115.0ms
(* x (fma 2/3 (* x x) 2))
102.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

simplify2.1s

Counts
18 → 40
Calls
18 calls:
Slowest
648.0ms
(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
298.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
295.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
294.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
132.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))

prune404.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 2/3 (* x x))
0.1b
(* x (* 2/3 (* x x)))
0.0b
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt associate-*l*
5×*-un-lft-identity add-cube-cbrt
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×associate-*r* *-commutative
1×fma-udef unswap-sqr
Counts
3 → 57
Calls
3 calls:
Slowest
48.0ms
(* x (* 2/3 (* x x)))
17.0ms
(* 2/3 (* x x))
0.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))
72.0ms
(* x (* 2/3 (* x x)))
32.0ms
(* 2/3 (* x x))

simplify3.7s

Counts
31 → 66
Calls
31 calls:
Slowest
893.0ms
(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
518.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
416.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
325.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
321.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune790.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

5.9b
(log (/ (+ x 1) (- 1 x)))
5.9b
(log (/ (+ x 1) (- 1 x)))
5.9b
(log (/ (+ x 1) (- 1 x)))
0.1b
(cbrt (log (/ (+ x 1) (- 1 x))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
90×log-prod
74×add-sqr-sqrt
72×times-frac
38×add-cube-cbrt
24×difference-of-squares
18×distribute-lft-out
13×add-exp-log
12×distribute-lft-out--
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod expm1-log1p-u add-cbrt-cube log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-div flip3-- div-exp div-inv flip--
1×pow1/3
Counts
4 → 147
Calls
4 calls:
Slowest
14.0ms
(log (/ (+ x 1) (- 1 x)))
13.0ms
(log (/ (+ x 1) (- 1 x)))
12.0ms
(log (/ (+ x 1) (- 1 x)))
2.0ms
(cbrt (log (/ (+ x 1) (- 1 x))))

series604.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
329.0ms
(cbrt (log (/ (+ x 1) (- 1 x))))
96.0ms
(log (/ (+ x 1) (- 1 x)))
90.0ms
(log (/ (+ x 1) (- 1 x)))
89.0ms
(log (/ (+ x 1) (- 1 x)))

simplify8.7s

Counts
115 → 159
Calls
115 calls:
Slowest
504.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
482.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
438.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
438.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
431.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample7.8s

Algorithm
intervals
Results
4.1s3460×body1280valid
1.7s2483×body640valid
1.0s7866×body80nan
640.0ms1242×body320valid
156.0ms615×body160valid
24.0ms200×body80valid