Details

Time bar (total: 34.8s)

sample247.0ms

Algorithm
intervals
Results
120.0ms103×body1280valid
54.0ms80×body640valid
32.0ms293×body80nan
21.0ms47×body320valid
5.0ms18×body160valid
1.0ms8×body80valid

simplify165.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
165.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize33.0ms

Local error

Found 2 expressions with local error:

5.3b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite51.0ms

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
35.0ms
(/ (+ x 1) (- 1 x))
12.0ms
(log (/ (+ x 1) (- 1 x)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
112.0ms
(log (/ (+ x 1) (- 1 x)))
29.0ms
(/ (+ x 1) (- 1 x))

simplify4.7s

Counts
101 → 103
Calls
101 calls:
Slowest
506.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
417.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
404.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
385.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
329.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune673.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite12.0ms

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
11.0ms
(* x (fma 2/3 (* x x) 2))
0.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

series238.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
131.0ms
(* x (fma 2/3 (* x x) 2))
106.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

simplify2.3s

Counts
18 → 40
Calls
18 calls:
Slowest
807.0ms
(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
297.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
267.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
261.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
189.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))

prune391.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite57.0ms

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
32.0ms
(* x (* 2/3 (* x x)))
24.0ms
(* 2/3 (* x x))
0.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
77.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))
53.0ms
(* x (* 2/3 (* x x)))
50.0ms
(* 2/3 (* x x))

simplify3.8s

Counts
31 → 66
Calls
31 calls:
Slowest
608.0ms
(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
541.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
468.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
368.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
367.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune627.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

5.4b
(log (/ (+ 1 x) (- 1 (* x (* x x)))))
5.4b
(log (+ (* 1 1) (+ (* x x) (* 1 x))))
0.1b
(* x (* x x))
0.0b
(/ (+ 1 x) (- 1 (* x (* x x))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×add-sqr-sqrt times-frac
23×add-cube-cbrt
22×log-prod
20×pow1
15×add-exp-log
11×add-cbrt-cube
8×distribute-lft-out
5×pow-prod-up
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×log-div associate-/r* rem-log-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ flip3-- div-exp log-pow flip-+ div-inv flip-- associate-/l/
1×pow2 cbrt-undiv clear-num frac-2neg pow-plus cube-unmult associate-*r* pow-sqr *-commutative unswap-sqr
Counts
4 → 115
Calls
4 calls:
Slowest
34.0ms
(/ (+ 1 x) (- 1 (* x (* x x))))
27.0ms
(* x (* x x))
24.0ms
(log (+ (* 1 1) (+ (* x x) (* 1 x))))
11.0ms
(log (/ (+ 1 x) (- 1 (* x (* x x)))))

series158.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
47.0ms
(log (/ (+ 1 x) (- 1 (* x (* x x)))))
44.0ms
(* x (* x x))
36.0ms
(/ (+ 1 x) (- 1 (* x (* x x))))
30.0ms
(log (+ (* 1 1) (+ (* x x) (* 1 x))))

simplify11.2s

Counts
89 → 127
Calls
89 calls:
Slowest
698.0ms
(/ (* (* (+ 1 x) (+ 1 x)) (+ 1 x)) (* (* (- 1 (* x (* x x))) (- 1 (* x (* x x)))) (- 1 (* x (* x x)))))
479.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
465.0ms
(+ (* 1 1) (+ (* (* x (* x x)) (* x (* x x))) (* 1 (* x (* x x)))))
455.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
375.0ms
(- (+ (* 2 (log (/ 1 x))) (+ (log -1) (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes26.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
4.2s3489×body1280valid
1.7s2492×body640valid
1.4s8001×body80nan
542.0ms1205×body320valid
159.0ms610×body160valid
24.0ms204×body80valid