Details

Time bar (total: 34.0s)

sample196.0ms

Algorithm
intervals
Results
96.0ms103×body1280valid
48.0ms91×body640valid
22.0ms251×body80nan
13.0ms36×body320valid
5.0ms19×body160valid
1.0ms7×body80valid

simplify142.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
142.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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
19.0ms
(/ (+ x 1) (- 1 x))
9.0ms
(log (/ (+ x 1) (- 1 x)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
93.0ms
(log (/ (+ x 1) (- 1 x)))
32.0ms
(/ (+ x 1) (- 1 x))

simplify4.2s

Counts
101 → 99
Calls
101 calls:
Slowest
447.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
384.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
382.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
334.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
301.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune862.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite72.0ms

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
40.0ms
(* x (+ (* x (* 2/3 x)) 2))
14.0ms
(* x (* 2/3 x))
12.0ms
(* (pow x 5) 2/5)
5.0ms
(* 2/3 x)

series257.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(* x (+ (* x (* 2/3 x)) 2))
65.0ms
(* (pow x 5) 2/5)
37.0ms
(* x (* 2/3 x))
16.0ms
(* 2/3 x)

simplify3.0s

Counts
61 → 99
Calls
61 calls:
Slowest
392.0ms
(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
267.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
246.0ms
(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
192.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))
190.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))

prune911.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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 (* x (* 2/3 x)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×add-cbrt-cube
20×pow1
18×add-sqr-sqrt
16×associate-*l*
13×prod-exp
11×*-un-lft-identity add-cube-cbrt cbrt-unprod
10×pow-prod-down
8×associate-*r*
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
70.0ms
(* x (* x (* 2/3 x)))
26.0ms
(* x (* 2/3 x))
16.0ms
(* (pow x 5) 2/5)
10.0ms
(* 2/3 x)

series212.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(* (pow x 5) 2/5)
57.0ms
(* x (* x (* 2/3 x)))
53.0ms
(* x (* 2/3 x))
27.0ms
(* 2/3 x)

simplify3.9s

Counts
59 → 98
Calls
59 calls:
Slowest
719.0ms
(* (* (* x x) x) (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))))
606.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))))
448.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))))
313.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
248.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ (* x (* 2/3 x)) 2))
1.0b
(cbrt (+ (* x (* 2/3 x)) 2))
1.0b
(cbrt (+ (* x (* 2/3 x)) 2))
0.4b
(* x (* (cbrt (+ (* x (* 2/3 x)) 2)) (cbrt (+ (* x (* 2/3 x)) 2))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×cbrt-prod add-sqr-sqrt pow1 flip3-+ add-exp-log flip-+
8×*-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
4×frac-times insert-posit16 add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 70
Calls
4 calls:
Slowest
192.0ms
(* x (* (cbrt (+ (* x (* 2/3 x)) 2)) (cbrt (+ (* x (* 2/3 x)) 2))))
20.0ms
(cbrt (+ (* x (* 2/3 x)) 2))
18.0ms
(cbrt (+ (* x (* 2/3 x)) 2))
10.0ms
(cbrt (+ (* x (* 2/3 x)) 2))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
591.0ms
(cbrt (+ (* x (* 2/3 x)) 2))
274.0ms
(* x (* (cbrt (+ (* x (* 2/3 x)) 2)) (cbrt (+ (* x (* 2/3 x)) 2))))
214.0ms
(cbrt (+ (* x (* 2/3 x)) 2))
158.0ms
(cbrt (+ (* x (* 2/3 x)) 2))

simplify8.8s

Counts
46 → 82
Calls
46 calls:
Slowest
497.0ms
(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 4)))
496.0ms
(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 x)))))) (pow x 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 x))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 x)))))) (pow x 4)))
471.0ms
(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 4)))
467.0ms
(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ 1 x)))))) (pow x 4)))
455.0ms
(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 x)))))) (pow x 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 x))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 x)))))) (pow x 4)))

prune816.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample7.7s

Algorithm
intervals
Results
3.7s3387×body1280valid
2.1s2510×body640valid
1.0s8057×body80nan
523.0ms1244×body320valid
196.0ms659×body160valid
24.0ms200×body80valid