Details

Time bar (total: 9.5s)

sample111.0ms

Algorithm
intervals
Results
72.0ms875×body80nan
20.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
114
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
50×times-frac
39×add-sqr-sqrt
29×add-cube-cbrt
26×sqrt-prod
16×distribute-lft-out
15×log-prod
13×div-inv
8×associate-/l* difference-of-squares
6×distribute-rgt-out add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1
3×log-div associate-/r* insert-posit16
2×flip3-+ sqrt-div frac-add distribute-rgt1-in flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp rem-log-exp log-pow flip--
Counts
3 → 103
Calls
3 calls:
12.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
10.0ms
(/ (sqrt (- 1 (* x x))) x)
30.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series414.0ms

Counts
3 → 9
Calls
3 calls:
219.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
123.0ms
(/ (sqrt (- 1 (* x x))) x)
72.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
done5000
21957
1472
0221

prune458.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (- 1 (* x x))) (sqrt x))
0.3b
(/ 1 (sqrt x))
0.3b
(/ 1 (sqrt x))
0.5b
(* (/ 1 (sqrt x)) (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
129×*-un-lft-identity
123×add-sqr-sqrt
122×sqrt-prod
88×add-cube-cbrt
26×associate-*r*
23×add-exp-log
22×associate-*l*
18×associate-/r* distribute-lft-out
15×add-cbrt-cube
14×associate-/l* difference-of-squares
11×div-inv
10×pow1
7×div-exp
6×pow-flip
5×unswap-sqr
4×cbrt-undiv distribute-rgt-out prod-exp insert-posit16 add-log-exp
3×frac-times rec-exp clear-num frac-2neg 1-exp associate-*r/
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div frac-add cbrt-unprod flip-+ inv-pow associate-/l/
1×distribute-rgt-in sqrt-undiv distribute-lft-in flip3-- pow-prod-down associate-*l/ distribute-rgt1-in *-commutative flip--
Counts
4 → 248
Calls
4 calls:
10.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
5.0ms
(/ 1 (sqrt x))
5.0ms
(/ 1 (sqrt x))
76.0ms
(* (/ 1 (sqrt x)) (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
29.0ms
(/ 1 (sqrt x))
38.0ms
(/ 1 (sqrt x))
187.0ms
(* (/ 1 (sqrt x)) (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x))))

simplify909.0ms

Counts
260 → 260
Iterations
IterNodes
done5000
1837
0292

prune807.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.3s24380×body80nan
1.0s8000×body80valid