Details

Time bar (total: 10.9s)

sample73.0ms

Algorithm
intervals
Results
33.0ms709×body80nan
14.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
done1613

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite518.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
426.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
7.0ms
(sqrt (- 1.0 (* x x)))
13.0ms
(/ (sqrt (- 1.0 (* x x))) x)
66.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series739.0ms

Counts
4 → 12
Calls
4 calls:
384.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
73.0ms
(sqrt (- 1.0 (* x x)))
160.0ms
(/ (sqrt (- 1.0 (* x x))) x)
122.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify1.3s

Counts
110 → 110
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02311946
15401820
223501700
done50001684

prune446.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.4b
(* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite728.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
58×sqrt-prod
42×add-sqr-sqrt times-frac
30×sqrt-div distribute-lft-out
28×add-cube-cbrt
21×pow1
15×swap-sqr
14×div-inv
11×flip3-+ associate-*r* associate-*l* frac-add flip-+
10×sqrt-pow1 pow1/2
9×frac-times
7×distribute-rgt-out
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×unswap-sqr
3×associate-*r/ pow-prod-down associate-*l/ pow-sqr
2×rem-sqrt-square
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 140
Calls
4 calls:
71.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
91.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
125.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
429.0ms
(* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series872.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
253.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
245.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
238.0ms
(* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify1.7s

Counts
152 → 152
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02364553
15543442
225773177
done50013040

prune600.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.8s23745×body80nan
1.2s8000×body80valid