Details

Time bar (total: 32.2s)

sample221.0ms

Algorithm
intervals
Results
116.0ms104×body1280valid
48.0ms80×body640valid
23.0ms249×body80nan
17.0ms44×body320valid
4.0ms18×body160valid
1.0ms10×body80valid

simplify523.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
522.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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
33.0ms
(/ (+ x 1) (- 1 x))
7.0ms
(log (/ (+ x 1) (- 1 x)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
91.0ms
(log (/ (+ x 1) (- 1 x)))
37.0ms
(/ (+ x 1) (- 1 x))

simplify4.6s

Counts
101 → 103
Calls
101 calls:
Slowest
409.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
396.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
363.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
351.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
339.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune718.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))

rewrite13.0ms

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
12.0ms
(* x (fma 2/3 (* x x) 2))
0.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

series197.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(* x (fma 2/3 (* x x) 2))
84.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

simplify2.4s

Counts
18 → 40
Calls
18 calls:
Slowest
752.0ms
(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
365.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
313.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
282.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
153.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))

prune389.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite85.0ms

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
65.0ms
(* x (* 2/3 (* x x)))
18.0ms
(* 2/3 (* x x))
0.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
104.0ms
(fma 2/5 (pow x 5) (+ (* x (* 2/3 (* x x))) (* x 2)))
56.0ms
(* x (* 2/3 (* x x)))
40.0ms
(* 2/3 (* x x))

simplify3.6s

Counts
31 → 66
Calls
31 calls:
Slowest
532.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
520.0ms
(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
467.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
369.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
305.0ms
(* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x)))

prune621.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

5.8b
(log (- 1 x))
5.7b
(log (exp (- (log1p x) (log (- 1 x)))))
0.0b
(- (log1p x) (log (- 1 x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
32×add-sqr-sqrt
31×log-prod
24×prod-diff
22×add-cube-cbrt
16×exp-sum log-pow
13×pow1
7×log-div
6×exp-prod associate--r+ distribute-lft-out-- difference-of-squares
4×flip3-- add-exp-log flip-- associate--r- add-log-exp
3×expm1-log1p-u sub-neg add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u
2×log1p-def diff-log rem-log-exp
1×log1p-udef exp-diff
Counts
3 → 102
Calls
3 calls:
Slowest
18.0ms
(log (exp (- (log1p x) (log (- 1 x)))))
9.0ms
(- (log1p x) (log (- 1 x)))
5.0ms
(log (- 1 x))

series325.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
149.0ms
(log (exp (- (log1p x) (log (- 1 x)))))
149.0ms
(- (log1p x) (log (- 1 x)))
28.0ms
(log (- 1 x))

simplify9.2s

Counts
87 → 111
Calls
87 calls:
Slowest
475.0ms
(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
472.0ms
(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
402.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
400.0ms
(log (exp (- (log1p x) (log (- (pow 1 3) (pow x 3))))))
394.0ms
(log (exp (fma (* (cbrt (log1p x)) (cbrt (log1p x))) (cbrt (log1p x)) (- (* (log (- 1 x)) 1)))))

prune766.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample8.1s

Algorithm
intervals
Results
3.8s3417×body1280valid
1.6s2569×body640valid
1.4s7941×body80nan
513.0ms1234×body320valid
357.0ms202×body80valid
179.0ms578×body160valid