Details

Time bar (total: 27.2s)

sample202.0ms

Algorithm
intervals
Results
93.0ms98×body1280valid
47.0ms83×body640valid
25.0ms268×body80nan
16.0ms42×body320valid
5.0ms22×body160valid
1.0ms11×body80valid

simplify117.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
117.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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×flip3-- div-exp rem-log-exp insert-posit16 div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 93
Calls
2 calls:
Slowest
35.0ms
(/ (+ x 1) (- 1 x))
11.0ms
(log (/ (+ x 1) (- 1 x)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
105.0ms
(log (/ (+ x 1) (- 1 x)))
24.0ms
(/ (+ x 1) (- 1 x))

simplify4.3s

Counts
101 → 99
Calls
101 calls:
Slowest
465.0ms
(/ (* (* (+ 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)))
361.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
294.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
285.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune917.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 x)
0.1b
(* x (* 2/3 x))
0.1b
(* (pow x 5) 2/5)
0.0b
(* x (+ (* x (* 2/3 x)) 2))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
16×associate-*l*
15×add-cbrt-cube
13×pow1
12×*-un-lft-identity add-cube-cbrt
10×associate-*r*
8×prod-exp
6×cbrt-unprod
5×pow-prod-down unswap-sqr
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×associate-*r/ sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-exp flip-+
Counts
4 → 87
Calls
4 calls:
Slowest
54.0ms
(* x (+ (* x (* 2/3 x)) 2))
25.0ms
(* x (* 2/3 x))
16.0ms
(* (pow x 5) 2/5)
10.0ms
(* 2/3 x)

series321.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(* x (+ (* x (* 2/3 x)) 2))
99.0ms
(* (pow x 5) 2/5)
54.0ms
(* x (* 2/3 x))
26.0ms
(* 2/3 x)

simplify3.4s

Counts
61 → 99
Calls
61 calls:
Slowest
672.0ms
(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
228.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
223.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
214.0ms
(* (* (* 2/3 2/3) 2/3) (* (* x x) x))
204.0ms
(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))

prune951.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 x)
0.1b
(* x (* 2/3 x))
0.1b
(* (pow x 5) 2/5)
0.1b
(* (* x (* 2/3 x)) x)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×add-cbrt-cube
20×pow1
18×add-sqr-sqrt
14×associate-*l*
13×prod-exp
11×*-un-lft-identity add-cube-cbrt cbrt-unprod
10×associate-*r* pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp unswap-sqr
2×sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 86
Calls
4 calls:
Slowest
61.0ms
(* (* x (* 2/3 x)) x)
12.0ms
(* x (* 2/3 x))
9.0ms
(* 2/3 x)
8.0ms
(* (pow x 5) 2/5)

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(* (* x (* 2/3 x)) x)
68.0ms
(* (pow x 5) 2/5)
41.0ms
(* x (* 2/3 x))
29.0ms
(* 2/3 x)

simplify3.7s

Counts
58 → 98
Calls
58 calls:
Slowest
579.0ms
(* (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))) (* (* x x) x))
494.0ms
(* (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))) (* (* x x) x))
476.0ms
(* (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))) (* (* x x) x))
282.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
221.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

6.0b
(log (- 1 x))
6.0b
(log (+ x 1))
0.0b
(- (log (+ x 1)) (log (- 1 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×log-prod
15×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow associate--r+ distribute-lft-out--
5×add-exp-log difference-of-squares
4×associate--l+
3×flip3-- add-cbrt-cube insert-posit16 flip-- add-log-exp
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 66
Calls
3 calls:
Slowest
10.0ms
(- (log (+ x 1)) (log (- 1 x)))
3.0ms
(log (- 1 x))
3.0ms
(log (+ x 1))

series247.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
185.0ms
(- (log (+ x 1)) (log (- 1 x)))
40.0ms
(log (- 1 x))
23.0ms
(log (+ x 1))

simplify3.5s

Counts
46 → 75
Calls
46 calls:
Slowest
433.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
428.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
415.0ms
(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
404.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
284.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune527.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample7.2s

Algorithm
intervals
Results
3.2s3427×body1280valid
2.1s2458×body640valid
932.0ms8098×body80nan
510.0ms1263×body320valid
183.0ms641×body160valid
48.0ms211×body80valid