Details

Time bar (total: 28.4s)

sample235.0ms

Algorithm
intervals
Results
128.0ms120×body1280valid
43.0ms70×body640valid
28.0ms273×body80nan
15.0ms37×body320valid
4.0ms16×body160valid
2.0ms13×body80valid

simplify170.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
170.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize27.0ms

Local error

Found 2 expressions with local error:

4.8b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite45.0ms

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
31.0ms
(/ (+ x 1) (- 1 x))
13.0ms
(log (/ (+ x 1) (- 1 x)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
89.0ms
(log (/ (+ x 1) (- 1 x)))
29.0ms
(/ (+ x 1) (- 1 x))

simplify4.6s

Counts
101 → 103
Calls
101 calls:
Slowest
508.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
433.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
358.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
352.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
303.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune750.0ms

Pruning

5 alts after pruning (5 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)))

rewrite6.0ms

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
6.0ms
(* x (fma 2/3 (* x x) 2))
0.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
119.0ms
(* x (fma 2/3 (* x x) 2))
79.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

simplify2.4s

Counts
18 → 40
Calls
18 calls:
Slowest
696.0ms
(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
350.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
310.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
281.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
201.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite73.0ms

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
57.0ms
(* x (* 2/3 (* x x)))
14.0ms
(* 2/3 (* x x))
0.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
72.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))
59.0ms
(* x (* 2/3 (* x x)))
33.0ms
(* 2/3 (* x x))

simplify3.4s

Counts
31 → 66
Calls
31 calls:
Slowest
590.0ms
(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
490.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
399.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
338.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
338.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune799.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.7b
(log (exp (* 2/3 (* x x))))
0.2b
(* 2/3 (* x x))
0.0b
(* x (log (exp (* 2/3 (* x x)))))
0.0b
(fma 2/5 (pow x 5) (+ (* x (log (exp (* 2/3 (* x x))))) (* x 2)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1
11×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
9×log-prod
7×associate-*r*
6×associate-*l* log-pow add-log-exp
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×distribute-rgt-in distribute-lft-in
2×exp-prod exp-to-pow *-commutative unswap-sqr
1×rem-log-exp fma-udef
Counts
4 → 80
Calls
4 calls:
Slowest
27.0ms
(* 2/3 (* x x))
24.0ms
(* x (log (exp (* 2/3 (* x x)))))
6.0ms
(log (exp (* 2/3 (* x x))))
0.0ms
(fma 2/5 (pow x 5) (+ (* x (log (exp (* 2/3 (* x x))))) (* x 2)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
78.0ms
(fma 2/5 (pow x 5) (+ (* x (log (exp (* 2/3 (* x x))))) (* x 2)))
73.0ms
(* x (log (exp (* 2/3 (* x x)))))
45.0ms
(* 2/3 (* x x))
31.0ms
(log (exp (* 2/3 (* x x))))

simplify5.7s

Counts
46 → 92
Calls
46 calls:
Slowest
462.0ms
(* (* (* x x) x) (* (* (log (exp (* 2/3 (* x x)))) (log (exp (* 2/3 (* x x))))) (log (exp (* 2/3 (* x x))))))
330.0ms
(* x (log (exp (* 2/3 (* x x)))))
310.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
304.0ms
(* x (log (exp (* 2/3 (* x x)))))
298.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample7.9s

Algorithm
intervals
Results
3.5s3394×body1280valid
2.1s2530×body640valid
1.4s7988×body80nan
511.0ms1249×body320valid
152.0ms595×body160valid
26.0ms232×body80valid