Details

Time bar (total: 52.5s)

sample288.0ms

Algorithm
intervals
Results
123.0ms241×body80nan
94.0ms256×body80valid

simplify52.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
51.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))

rewrite73.0ms

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
48.0ms
(/ (- 1 x) (+ 1 x))
18.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series135.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
51.0ms
(/ (- 1 x) (+ 1 x))
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify3.6s

Counts
106 → 112
Calls
106 calls:
Slowest
412.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
303.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
270.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
243.0ms
(sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))
131.0ms
(- (+ (* 2 (pow x 2)) 1) (* 2 x))

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×*-un-lft-identity associate-*l*
25×times-frac
16×difference-of-squares
15×add-cube-cbrt
8×pow1 add-cbrt-cube add-exp-log
6×associate-*r*
5×flip3-- sqrt-div flip-- distribute-lft-out--
4×frac-times associate-*r/
3×insert-posit16 add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow-prod-down associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv pow1/2 div-exp *-commutative sqrt-prod div-inv
Counts
3 → 86
Calls
3 calls:
Slowest
77.0ms
(* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))
30.0ms
(sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))
1.0ms
(atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))

series133.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))
49.0ms
(* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))
4.0ms
(atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))

simplify8.5s

Counts
72 → 95
Calls
72 calls:
Slowest
519.0ms
(* (- 1 x) (- (pow 1 3) (pow x 3)))
515.0ms
(sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (* 1 1) (* x x))))
466.0ms
(* (- (* 1 1) (* x x)) (+ 1 x))
448.0ms
(sqrt (* (- 1 x) (- (pow 1 3) (pow x 3))))
430.0ms
(* (- x) (/ (- 1 x) (- (* 1 1) (* x x))))

prune829.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
379×*-un-lft-identity
220×times-frac
209×add-sqr-sqrt
92×add-cube-cbrt
70×difference-of-squares
65×distribute-lft-out
54×swap-sqr
47×distribute-lft-out--
30×associate-*r* associate-*l*
22×add-cbrt-cube add-exp-log
18×associate-/l*
14×associate-/r/
12×associate-/r*
11×pow1
7×cbrt-undiv flip3-+ div-exp flip-+ div-inv
6×associate-/l/
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg flip3-- div-sub flip--
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 299
Calls
4 calls:
Slowest
93.0ms
(* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))
22.0ms
(/ (- 1 x) (+ x 1))
22.0ms
(/ (- 1 x) (+ x 1))
15.0ms
(/ (- 1 x) (+ x 1))

series149.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
53.0ms
(* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))
37.0ms
(/ (- 1 x) (+ x 1))
31.0ms
(/ (- 1 x) (+ x 1))
29.0ms
(/ (- 1 x) (+ x 1))

simplify31.2s

Counts
394 → 311
Calls
394 calls:
Slowest
947.0ms
(* (* (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1))) (* (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1))))
710.0ms
(* (/ (+ 1 (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ 1 (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
708.0ms
(* (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
644.0ms
(* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))
568.0ms
(* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))

prune3.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.5s8000×body80valid
846.0ms7866×body80nan