Details

Time bar (total: 11.6s)

sample91.0ms

Algorithm
intervals
Results
49.0ms740×body80nan
17.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
31813
done1813

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
42×times-frac
35×add-sqr-sqrt
31×add-cube-cbrt
16×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×associate-/l*
6×add-exp-log div-inv
5×add-cbrt-cube add-log-exp
4×pow1 difference-of-squares
3×expm1-log1p-u log-div associate-/r* log1p-expm1-u
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log log-pow flip--
Counts
3 → 101
Calls
3 calls:
29.0ms
(/ (sqrt (- 1.0 (* x x))) x)
54.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
79.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series760.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(/ (sqrt (- 1.0 (* x x))) x)
435.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
130.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02131750
14771637
213311521
done50001501

prune511.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt
33×cbrt-div
30×distribute-lft-out
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt-out
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
42.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
31.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
56.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
418.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series2.5s

Counts
4 → 12
Calls
4 calls:
564.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
583.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
547.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
814.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify1.3s

Counts
149 → 149
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02504906
16084578
219774290
done50003762

prune863.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01242
11442
done1442

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.4s23596×body80nan
655.0ms8000×body80valid