Details

Time bar (total: 26.0s)

sample235.0ms

Algorithm
intervals
Results
69.0ms256×body80valid
65.0ms273×body80nan

simplify209.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
208.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b
(sqrt (/ (- 1 x) (+ 1 x)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
56×add-sqr-sqrt
49×times-frac
30×sqrt-prod
26×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/
3×insert-posit16 add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 103
Calls
3 calls:
Slowest
94.0ms
(/ (- 1 x) (+ 1 x))
22.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series197.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
131.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
57.0ms
(/ (- 1 x) (+ 1 x))
9.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify3.5s

Counts
106 → 112
Calls
106 calls:
Slowest
577.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
247.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
221.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
182.0ms
(sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))
106.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))

prune970.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cbrt (- 1 x)) (+ 1 x))
0.0b
(* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)))
0.0b
(* (cbrt (- 1 x)) (cbrt (- 1 x)))
0.0b
(cbrt (- 1 x))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
106×add-sqr-sqrt
93×cbrt-prod
74×times-frac
51×associate-*r* add-cube-cbrt
40×cbrt-div
28×difference-of-squares
20×frac-times flip3-- add-exp-log flip--
19×distribute-lft-out
16×pow1 distribute-lft-out--
14×associate-*l/
11×add-cbrt-cube swap-sqr
10×associate-*l*
9×associate-/l*
7×pow1/3 prod-exp associate-*r/ cbrt-unprod unswap-sqr
5×pow-prod-down
4×associate-/r* associate-/r/ insert-posit16 add-log-exp
3×cbrt-undiv div-exp
2×flip3-+ pow-sqr *-commutative pow-prod-up flip-+ div-inv associate-/l/
1×pow2 clear-num frac-2neg pow-plus
Counts
4 → 225
Calls
4 calls:
Slowest
111.0ms
(* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)))
29.0ms
(* (cbrt (- 1 x)) (cbrt (- 1 x)))
17.0ms
(/ (cbrt (- 1 x)) (+ 1 x))
3.0ms
(cbrt (- 1 x))

series198.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(/ (cbrt (- 1 x)) (+ 1 x))
48.0ms
(* (cbrt (- 1 x)) (cbrt (- 1 x)))
42.0ms
(cbrt (- 1 x))
28.0ms
(* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)))

simplify14.8s

Counts
266 → 237
Calls
266 calls:
Slowest
590.0ms
(* (* (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (* (/ (cbrt (- 1 x)) (+ 1 x)) (/ (cbrt (- 1 x)) (+ 1 x))) (/ (cbrt (- 1 x)) (+ 1 x))))
443.0ms
(* (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x)))) (/ (cbrt (- 1 x)) (+ 1 x)))
435.0ms
(* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (pow 1 3) (pow x 3))))
417.0ms
(* (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (pow 1 3) (pow x 3)))) (/ (cbrt (- 1 x)) (+ 1 x)))
399.0ms
(* (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x)))) (cbrt (- 1 x)))

prune3.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s8000×body80valid
850.0ms7988×body80nan