Details

Time bar (total: 59.9s)

sample290.0ms

Algorithm
intervals
Results
206.0ms256×body80valid
28.0ms241×body80nan

simplify47.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
47.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite37.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 109
Calls
3 calls:
Slowest
21.0ms
(/ (- 1 x) (+ 1 x))
10.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series90.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
52.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
34.0ms
(/ (- 1 x) (+ 1 x))
4.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify3.8s

Counts
106 → 118
Calls
106 calls:
Slowest
434.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
228.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
222.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
204.0ms
(sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))
169.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

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
47×add-sqr-sqrt
42×*-un-lft-identity
30×associate-*l*
27×add-cube-cbrt
25×times-frac
18×prod-diff
16×difference-of-squares
11×distribute-rgt-in distribute-lft-in
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×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×sub-neg 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 → 110
Calls
3 calls:
Slowest
79.0ms
(* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))
28.0ms
(sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))
1.0ms
(atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))

series130.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))
45.0ms
(* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))
7.0ms
(atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))

simplify13.1s

Counts
90 → 119
Calls
90 calls:
Slowest
610.0ms
(sqrt (* (- 1 x) (- (* 1 1) (* x x))))
558.0ms
(sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (* 1 1) (* x x))))
463.0ms
(* (- x) (/ (- 1 x) (- (* 1 1) (* x x))))
450.0ms
(* (- x) (/ (- 1 x) (- (* 1 1) (* x x))))
398.0ms
(* (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (/ (- 1 x) (- (* 1 1) (* x x))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

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))

rewrite143.0ms

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×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 307
Calls
4 calls:
Slowest
69.0ms
(* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))
31.0ms
(/ (- 1 x) (+ x 1))
18.0ms
(/ (- 1 x) (+ x 1))
18.0ms
(/ (- 1 x) (+ x 1))

series144.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
46.0ms
(/ (- 1 x) (+ x 1))
39.0ms
(/ (- 1 x) (+ x 1))
32.0ms
(* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))
27.0ms
(/ (- 1 x) (+ x 1))

simplify34.1s

Counts
394 → 319
Calls
394 calls:
Slowest
979.0ms
(* (* (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1))) (* (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1))))
817.0ms
(* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))
546.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
528.0ms
(* (/ (- 1 x) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ x 1))))
500.0ms
(* (/ (* (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

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s8000×body80valid
784.0ms7866×body80nan