Details

Time bar (total: 25.8s)

sample295.0ms

Algorithm
intervals
Results
126.0ms103×body1280valid
70.0ms91×body640valid
58.0ms251×body80nan
18.0ms36×body320valid
6.0ms19×body160valid
1.0ms7×body80valid

simplify121.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
121.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize14.0ms

Local error

Found 2 expressions with local error:

5.7b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite30.0ms

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
21.0ms
(/ (+ x 1) (- 1 x))
7.0ms
(log (/ (+ x 1) (- 1 x)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
76.0ms
(log (/ (+ x 1) (- 1 x)))
38.0ms
(/ (+ x 1) (- 1 x))

simplify4.5s

Counts
101 → 103
Calls
101 calls:
Slowest
495.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
411.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
376.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
313.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
311.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune639.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
Slowest
10.0ms
(* x (fma 2/3 (* x x) 2))

series142.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
142.0ms
(* x (fma 2/3 (* x x) 2))

simplify1.8s

Counts
15 → 26
Calls
15 calls:
Slowest
1.2s
(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
169.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))
139.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))
134.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))
39.0ms
(* (sqrt x) (sqrt (fma 2/3 (* x x) 2)))

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(* 2/3 (* x x))
0.1b
(* x (* 2/3 (* x x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×add-sqr-sqrt
4×*-un-lft-identity add-cube-cbrt
2×expm1-log1p-u associate-*r* *-commutative insert-posit16 log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
2 → 46
Calls
2 calls:
Slowest
40.0ms
(* x (* 2/3 (* x x)))
13.0ms
(* 2/3 (* x x))

series76.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(* x (* 2/3 (* x x)))
28.0ms
(* 2/3 (* x x))

simplify2.4s

Counts
28 → 52
Calls
28 calls:
Slowest
532.0ms
(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
481.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
479.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
259.0ms
(* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x)))
183.0ms
(* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x)))

prune533.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (fma 2/3 (* x x) 2))
1.0b
(cbrt (fma 2/3 (* x x) 2))
1.0b
(cbrt (fma 2/3 (* x x) 2))
0.4b
(* x (* (cbrt (fma 2/3 (* x x) 2)) (cbrt (fma 2/3 (* x x) 2))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt pow1 add-exp-log
8×*-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 64
Calls
4 calls:
Slowest
33.0ms
(* x (* (cbrt (fma 2/3 (* x x) 2)) (cbrt (fma 2/3 (* x x) 2))))
2.0ms
(cbrt (fma 2/3 (* x x) 2))
1.0ms
(cbrt (fma 2/3 (* x x) 2))
1.0ms
(cbrt (fma 2/3 (* x x) 2))

series788.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
277.0ms
(* x (* (cbrt (fma 2/3 (* x x) 2)) (cbrt (fma 2/3 (* x x) 2))))
176.0ms
(cbrt (fma 2/3 (* x x) 2))
168.0ms
(cbrt (fma 2/3 (* x x) 2))
167.0ms
(cbrt (fma 2/3 (* x x) 2))

simplify5.4s

Counts
32 → 76
Calls
32 calls:
Slowest
471.0ms
(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 4)))
469.0ms
(- (+ (* 1/9 (* (pow x 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/81 (* (pow x 4) (pow 2 1/3))))
466.0ms
(- (+ (* 1/9 (* (pow x 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/81 (* (pow x 4) (pow 2 1/3))))
448.0ms
(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 4)))
420.0ms
(* (* (* x x) x) (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)))

prune754.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample7.6s

Algorithm
intervals
Results
3.6s3387×body1280valid
1.7s2510×body640valid
951.0ms8057×body80nan
575.0ms659×body160valid
547.0ms1244×body320valid
24.0ms200×body80valid