Details

Time bar (total: 12.0s)

sample165.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
22.0ms272×body80nan

simplify235.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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
24.0ms
(/ (- 1 x) (+ 1 x))
16.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series148.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
77.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
64.0ms
(/ (- 1 x) (+ 1 x))
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify1.0s

Counts
118 → 118

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
91×*-un-lft-identity
61×times-frac
50×difference-of-squares
42×add-cube-cbrt
36×associate-*l*
18×prod-diff
12×distribute-lft-out--
11×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
9×pow1
7×flip3-- flip--
6×associate-*r* associate-/l*
5×associate-/r* sqrt-div
4×expm1-log1p-u frac-times associate-*r/ associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg pow1/2 div-sub *-commutative sqrt-prod
Counts
4 → 177
Calls
4 calls:
Slowest
37.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))
25.0ms
(/ (- 1 x) (- 1 (* x x)))
17.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
1.0ms
(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
84.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
41.0ms
(/ (- 1 x) (- 1 (* x x)))
35.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))
3.0ms
(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))

simplify1.1s

Counts
189 → 189

prune2.0s

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
Slowest
28.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
3.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))

series204.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(cbrt (+ 1 x))
52.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
42.0ms
(cbrt (+ 1 x))
37.0ms
(cbrt (+ 1 x))

simplify1.7s

Counts
119 → 119

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8000×body80valid
800.0ms8078×body80nan