Details

Time bar (total: 31.3s)

sample260.0ms

Algorithm
intervals
Results
121.0ms104×body1280valid
58.0ms80×body640valid
30.0ms249×body80nan
20.0ms44×body320valid
16.0ms18×body160valid
2.0ms10×body80valid

simplify112.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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
29.0ms
(/ (+ x 1) (- 1 x))
11.0ms
(log (/ (+ x 1) (- 1 x)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
87.0ms
(log (/ (+ x 1) (- 1 x)))
39.0ms
(/ (+ x 1) (- 1 x))

simplify4.3s

Counts
101 → 99
Calls
101 calls:
Slowest
472.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
439.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
384.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
291.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
265.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune921.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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))

rewrite113.0ms

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
67.0ms
(* x (+ (* x (* 2/3 x)) 2))
25.0ms
(* x (* 2/3 x))
11.0ms
(* 2/3 x)
9.0ms
(* (pow x 5) 2/5)

series287.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(* x (+ (* x (* 2/3 x)) 2))
92.0ms
(* (pow x 5) 2/5)
51.0ms
(* x (* 2/3 x))
24.0ms
(* 2/3 x)

simplify3.2s

Counts
61 → 99
Calls
61 calls:
Slowest
337.0ms
(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
283.0ms
(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
253.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
215.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
197.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite82.0ms

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
51.0ms
(* x (* x (* 2/3 x)))
14.0ms
(* x (* 2/3 x))
9.0ms
(* (pow x 5) 2/5)
6.0ms
(* 2/3 x)

series207.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(* x (* x (* 2/3 x)))
69.0ms
(* (pow x 5) 2/5)
31.0ms
(* x (* 2/3 x))
30.0ms
(* 2/3 x)

simplify3.7s

Counts
59 → 98
Calls
59 calls:
Slowest
593.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))))
450.0ms
(* (* (* x x) x) (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))))
424.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))))
314.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
261.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))

prune872.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

5.7b
(log (/ (+ x 1) (sqrt (- 1 x))))
5.3b
(log (/ 1 (sqrt (- 1 x))))
0.0b
(/ (+ x 1) (sqrt (- 1 x)))
0.0b
(sqrt (- 1 x))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
99×add-sqr-sqrt times-frac
78×sqrt-prod
75×log-prod
59×add-cube-cbrt
26×difference-of-squares
19×distribute-lft-out
14×add-exp-log
13×distribute-lft-out--
9×pow1 associate-/r*
8×sqrt-div
6×add-cbrt-cube rem-log-exp associate-/r/ log-pow
4×flip3-- div-exp insert-posit16 flip-- associate-/l* add-log-exp
3×div-inv pow-flip
2×log-div sqrt-pow1 pow1/2 associate-/l/
1×cbrt-undiv rem-sqrt-square rec-exp clear-num frac-2neg flip3-+ 1-exp log-rec flip-+ inv-pow
Counts
4 → 191
Calls
4 calls:
Slowest
24.0ms
(/ (+ x 1) (sqrt (- 1 x)))
12.0ms
(log (/ (+ x 1) (sqrt (- 1 x))))
9.0ms
(sqrt (- 1 x))
7.0ms
(log (/ 1 (sqrt (- 1 x))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
160.0ms
(log (/ (+ x 1) (sqrt (- 1 x))))
82.0ms
(log (/ 1 (sqrt (- 1 x))))
78.0ms
(/ (+ x 1) (sqrt (- 1 x)))
29.0ms
(sqrt (- 1 x))

simplify6.0s

Counts
197 → 203
Calls
197 calls:
Slowest
414.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))))
336.0ms
(log (/ (+ x 1) (sqrt (- (pow 1 3) (pow x 3)))))
310.0ms
(log (/ 1 (sqrt (- (pow 1 3) (pow x 3)))))
280.0ms
(- (+ (* 3/2 x) (* 1/2 (pow x 3))) (* 1/4 (pow x 2)))
257.0ms
(+ (* 1/2 x) (+ (* 1/6 (pow x 3)) (* 1/4 (pow x 2))))

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample8.2s

Algorithm
intervals
Results
4.2s3417×body1280valid
1.8s2569×body640valid
1.2s7941×body80nan
610.0ms1234×body320valid
177.0ms578×body160valid
26.0ms202×body80valid