Details

Time bar (total: 3.2s)

sample35.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms262×body80nan

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity sqrt-div add-cube-cbrt
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:
4.0ms
(sqrt (- 1.0 (* x x)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(sqrt (- 1.0 (* x x)))

simplify371.0ms

Counts
19 → 19
Iterations
IterNodes
done5001
2708
1164
067

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ (* x x) (sqrt 1.0)) 1/2)
0.0b
(+ (* (/ 1/8 (sqrt 1.0)) (/ (pow x 4) 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
10×associate-*l*
times-frac
*-un-lft-identity add-cube-cbrt
associate-*l/
pow1 prod-exp sqrt-prod cbrt-unprod add-log-exp
associate-*r* frac-add unswap-sqr
cbrt-undiv div-exp
frac-times +-commutative sum-log flip3-+ pow-prod-down associate-*r/ *-commutative flip-+ div-inv
Counts
2 → 46
Calls
2 calls:
32.0ms
(* (/ (* x x) (sqrt 1.0)) 1/2)
14.0ms
(+ (* (/ 1/8 (sqrt 1.0)) (/ (pow x 4) 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2))

series413.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(* (/ (* x x) (sqrt 1.0)) 1/2)
315.0ms
(+ (* (/ 1/8 (sqrt 1.0)) (/ (pow x 4) 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2))

simplify938.0ms

Counts
52 → 52
Iterations
IterNodes
done5000
22210
1338
0117

prune193.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes94.0ms

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

sample876.0ms

Algorithm
intervals
Results
275.0ms8212×body80nan
265.0ms8000×body80valid