Details

Time bar (total: 33.2s)

sample260.0ms

Algorithm
intervals
Results
124.0ms111×body1280valid
56.0ms82×body640valid
38.0ms284×body80nan
16.0ms34×body320valid
6.0ms22×body160valid
1.0ms7×body80valid

simplify179.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
179.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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
17.0ms
(/ (+ x 1) (- 1 x))
6.0ms
(log (/ (+ x 1) (- 1 x)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
90.0ms
(log (/ (+ x 1) (- 1 x)))
25.0ms
(/ (+ x 1) (- 1 x))

simplify4.1s

Counts
101 → 99
Calls
101 calls:
Slowest
426.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
398.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
353.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
281.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
257.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune710.0ms

Pruning

4 alts after pruning (4 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)
0.0b
(* x (+ (* x (* 2/3 x)) 2))

rewrite95.0ms

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
64.0ms
(* x (+ (* x (* 2/3 x)) 2))
12.0ms
(* x (* 2/3 x))
12.0ms
(* (pow x 5) 2/5)
5.0ms
(* 2/3 x)

series222.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(* x (+ (* x (* 2/3 x)) 2))
54.0ms
(* (pow x 5) 2/5)
41.0ms
(* x (* 2/3 x))
26.0ms
(* 2/3 x)

simplify3.3s

Counts
61 → 99
Calls
61 calls:
Slowest
352.0ms
(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
245.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
238.0ms
(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
223.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))
202.0ms
(* (* (* 2/3 2/3) 2/3) (* (* x x) x))

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite491.0ms

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
443.0ms
(* (* x (* 2/3 x)) x)
24.0ms
(* x (* 2/3 x))
13.0ms
(* (pow x 5) 2/5)
9.0ms
(* 2/3 x)

series184.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(* (pow x 5) 2/5)
56.0ms
(* (* x (* 2/3 x)) x)
30.0ms
(* x (* 2/3 x))
26.0ms
(* 2/3 x)

simplify3.8s

Counts
58 → 98
Calls
58 calls:
Slowest
620.0ms
(* (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))) (* (* x x) x))
522.0ms
(* (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))) (* (* x x) x))
466.0ms
(* (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))) (* (* x x) x))
251.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
218.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune881.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.3b
(log (/ (+ x 1) (- 1 x)))
5.3b
(log (/ (+ x 1) (- 1 x)))
5.3b
(log (/ (+ x 1) (- 1 x)))
0.1b
(cbrt (* (* (log (/ (+ x 1) (- 1 x))) (log (/ (+ x 1) (- 1 x)))) (log (/ (+ x 1) (- 1 x)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
90×log-prod
73×add-sqr-sqrt
72×times-frac
37×add-cube-cbrt
24×difference-of-squares
18×distribute-lft-out
13×add-exp-log
12×distribute-lft-out--
7×pow1
6×rem-log-exp associate-/r/
4×add-cbrt-cube insert-posit16 add-log-exp
3×log-div flip3-- div-exp log-pow div-inv flip--
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 137
Calls
4 calls:
Slowest
20.0ms
(cbrt (* (* (log (/ (+ x 1) (- 1 x))) (log (/ (+ x 1) (- 1 x)))) (log (/ (+ x 1) (- 1 x)))))
8.0ms
(log (/ (+ x 1) (- 1 x)))
7.0ms
(log (/ (+ x 1) (- 1 x)))
6.0ms
(log (/ (+ x 1) (- 1 x)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(log (/ (+ x 1) (- 1 x)))
118.0ms
(log (/ (+ x 1) (- 1 x)))
101.0ms
(log (/ (+ x 1) (- 1 x)))
74.0ms
(cbrt (* (* (log (/ (+ x 1) (- 1 x))) (log (/ (+ x 1) (- 1 x)))) (log (/ (+ x 1) (- 1 x)))))

simplify8.3s

Counts
113 → 149
Calls
113 calls:
Slowest
479.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
417.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
410.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
397.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
394.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample7.9s

Algorithm
intervals
Results
3.9s3400×body1280valid
1.8s2551×body640valid
813.0ms8133×body80nan
594.0ms641×body160valid
495.0ms1192×body320valid
24.0ms216×body80valid