Details

Time bar (total: 23.3s)

sample164.0ms

Algorithm
intervals
Results
89.0ms769×body80nan
50.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
418
318
216
112
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
59×times-frac
50×add-sqr-sqrt
38×add-cube-cbrt
31×sqrt-prod
16×distribute-lft-out
15×log-prod
14×div-inv
13×fma-def
10×difference-of-squares
8×associate-/l*
7×add-exp-log
6×pow1 distribute-rgt-out add-cbrt-cube add-log-exp
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u
3×log-div associate-/r*
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp log-pow
Counts
4 → 142
Calls
4 calls:
15.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
11.0ms
(/ (sqrt (- 1 (* x x))) x)
15.0ms
(sqrt (- 1 (* x x)))
19.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series565.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
153.0ms
(/ (sqrt (- 1 (* x x))) x)
78.0ms
(sqrt (- 1 (* x x)))
73.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify5.4s

Counts
154 → 154
Iterations
IterNodes
34286
21357
1519
0247

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (sqrt (- 1 (* x x))) x))
0.5b
(cbrt (/ (sqrt (- 1 (* x x))) x))
0.5b
(cbrt (/ (sqrt (- 1 (* x x))) x))
0.5b
(* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
232×cbrt-prod
198×add-sqr-sqrt
196×times-frac
138×*-un-lft-identity
119×sqrt-prod
117×add-cube-cbrt
42×difference-of-squares
37×swap-sqr
31×associate-*r* associate-*l*
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 259
Calls
4 calls:
6.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
5.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
4.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
36.0ms
(* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
313.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
265.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
299.0ms
(* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))

simplify5.1s

Counts
271 → 271
Iterations
IterNodes
34556
21427
1607
0320

prune3.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

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
210
110
09

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.5s24113×body80nan
1.0s8000×body80valid