Details

Time bar (total: 10.7s)

sample112.0ms

Algorithm
intervals
Results
60.0ms875×body80nan
35.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
218
114
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
59×times-frac
46×add-sqr-sqrt
36×add-cube-cbrt
26×sqrt-prod
16×distribute-lft-out
15×log-prod
14×div-inv
13×fma-def
8×associate-/l* difference-of-squares
6×distribute-rgt-out add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1
3×expm1-log1p-u log-div associate-/r* insert-posit16 log1p-expm1-u
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 → 122
Calls
3 calls:
18.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
13.0ms
(/ (sqrt (- 1 (* x x))) x)
30.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series544.0ms

Counts
3 → 9
Calls
3 calls:
305.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
148.0ms
(/ (sqrt (- 1 (* x x))) x)
91.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify1.8s

Counts
131 → 131
Iterations
IterNodes
done5000
22106
1497
0227

prune611.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) x)))
0.1b
(fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) x))
0.3b
(/ 1 (sqrt x))
0.3b
(/ 1 (sqrt x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×sqrt-prod
13×add-exp-log
12×associate-/r*
9×pow1
8×add-cbrt-cube
6×pow-flip associate-/l*
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u add-log-exp
3×log-prod
2×cbrt-undiv rec-exp clear-num frac-2neg sqrt-pow1 pow1/2 1-exp div-inv inv-pow
1×rem-log-exp log-pow fma-udef
Counts
4 → 122
Calls
4 calls:
3.0ms
(log (fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) x)))
0.0ms
(fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) x))
10.0ms
(/ 1 (sqrt x))
10.0ms
(/ 1 (sqrt x))

series699.0ms

Counts
4 → 12
Calls
4 calls:
375.0ms
(log (fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) x)))
230.0ms
(fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) x))
51.0ms
(/ 1 (sqrt x))
42.0ms
(/ 1 (sqrt x))

simplify1.3s

Counts
134 → 134
Iterations
IterNodes
done5000
21431
1382
0174

prune583.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.7s24380×body80nan
1.5s8000×body80valid