Details

Time bar (total: 4.9s)

sample33.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
8.0ms262×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
6.0ms
(sqrt (- 1.0 (* x x)))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(sqrt (- 1.0 (* x x)))

simplify578.0ms

Counts
19 → 19
Iterations
IterNodes
done5001
2708
1164
067

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (* x x) (sqrt 1.0)) 1/2)
0.0b
(+ (* (/ (* (* x x) (* x x)) (sqrt 1.0)) (/ 1/8 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2))
0.1b
(* (* x x) (* x x))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
24×add-cbrt-cube pow-prod-down add-exp-log
22×pow-sqr
18×pow-plus
13×pow2 add-sqr-sqrt
12×prod-exp cbrt-unprod
11×associate-*l*
8×times-frac
7×*-un-lft-identity add-cube-cbrt
5×associate-*l/ add-log-exp
4×associate-*r* sqrt-prod unswap-sqr
3×frac-add
2×cbrt-undiv div-exp *-commutative
1×frac-times +-commutative sum-log flip3-+ swap-sqr associate-*r/ flip-+ div-inv
Counts
3 → 109
Calls
3 calls:
34.0ms
(* (/ (* x x) (sqrt 1.0)) 1/2)
140.0ms
(+ (* (/ (* (* x x) (* x x)) (sqrt 1.0)) (/ 1/8 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2))
43.0ms
(* (* x x) (* x x))

series489.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* (/ (* x x) (sqrt 1.0)) 1/2)
332.0ms
(+ (* (/ (* (* x x) (* x x)) (sqrt 1.0)) (/ 1/8 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2))
71.0ms
(* (* x x) (* x x))

simplify1.9s

Counts
118 → 118
Iterations
IterNodes
done5001
23019
1458
0147

prune318.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample1.0s

Algorithm
intervals
Results
364.0ms8212×body80nan
257.0ms8000×body80valid