Details

Time bar (total: 25.5s)

sample158.0ms

Algorithm
intervals
Results
78.0ms104×body1280valid
36.0ms87×body640valid
19.0ms283×body80nan
9.0ms32×body320valid
5.0ms27×body160valid
0.0ms6×body80valid

simplify168.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
168.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize25.0ms

Local error

Found 2 expressions with local error:

7.9b
(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)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
107.0ms
(log (/ (+ x 1) (- 1 x)))
28.0ms
(/ (+ x 1) (- 1 x))

simplify4.4s

Counts
101 → 99
Calls
101 calls:
Slowest
439.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
431.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
348.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
346.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
312.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune924.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite119.0ms

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
78.0ms
(* x (+ (* x (* 2/3 x)) 2))
19.0ms
(* x (* 2/3 x))
16.0ms
(* (pow x 5) 2/5)
5.0ms
(* 2/3 x)

series288.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* x (+ (* x (* 2/3 x)) 2))
92.0ms
(* (pow x 5) 2/5)
39.0ms
(* x (* 2/3 x))
18.0ms
(* 2/3 x)

simplify3.1s

Counts
61 → 99
Calls
61 calls:
Slowest
310.0ms
(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
294.0ms
(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
263.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
213.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
196.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite102.0ms

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
63.0ms
(* (* x (* 2/3 x)) x)
17.0ms
(* x (* 2/3 x))
16.0ms
(* (pow x 5) 2/5)
5.0ms
(* 2/3 x)

series189.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(* (pow x 5) 2/5)
49.0ms
(* (* x (* 2/3 x)) x)
31.0ms
(* x (* 2/3 x))
16.0ms
(* 2/3 x)

simplify3.7s

Counts
58 → 98
Calls
58 calls:
Slowest
596.0ms
(* (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))) (* (* x x) x))
550.0ms
(* (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))) (* (* x x) x))
509.0ms
(* (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))) (* (* x x) x))
254.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
202.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

7.9b
(log (+ x 1))
7.9b
(log (- 1 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×log-prod
9×*-un-lft-identity
7×add-sqr-sqrt
4×pow1 log-div add-exp-log add-cube-cbrt
2×add-cbrt-cube rem-log-exp log-pow insert-posit16 add-log-exp difference-of-squares
1×flip3-+ flip3-- flip-+ flip-- distribute-lft-out distribute-lft-out--
Counts
2 → 34
Calls
2 calls:
Slowest
7.0ms
(log (+ x 1))
7.0ms
(log (- 1 x))

series62.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
39.0ms
(log (- 1 x))
23.0ms
(log (+ x 1))

simplify2.0s

Counts
22 → 40
Calls
22 calls:
Slowest
657.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
341.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
206.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
201.0ms
(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
197.0ms
(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune220.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample7.6s

Algorithm
intervals
Results
3.4s3395×body1280valid
2.1s2496×body640valid
1.0s8114×body80nan
508.0ms1234×body320valid
188.0ms671×body160valid
24.0ms204×body80valid