Details

Time bar (total: 13.6s)

sample106.0ms

Algorithm
intervals
Results
55.0ms862×body80nan
17.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done18
318
216
112
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.2b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
42×times-frac
39×add-sqr-sqrt
34×add-cube-cbrt
16×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out add-log-exp
7×add-exp-log associate-/l*
6×add-cbrt-cube div-inv
5×pow1 difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×log-div associate-/r* fma-neg prod-diff
2×flip3-+ distribute-rgt-out flip3-- sqrt-div frac-add flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp rem-log-exp log-pow
Counts
4 → 122
Calls
4 calls:
13.0ms
(- 1.0 (* x x))
20.0ms
(/ (sqrt (- 1.0 (* x x))) x)
48.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
46.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series887.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- 1.0 (* x x))
203.0ms
(/ (sqrt (- 1.0 (* x x))) x)
137.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
484.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify1.4s

Counts
134 → 134
Iterations
IterNodes
done5001
22623
1568
0239

prune747.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.2b
(+ (- (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (fma x (- x) 1.0)) (sqrt x)))))
0.2b
(/ 1.0 (sqrt x))
0.2b
(/ (sqrt (fma x (- x) 1.0)) (sqrt x))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
70×times-frac
68×sqrt-prod
63×add-sqr-sqrt
59×add-cube-cbrt
25×log-prod
16×fma-def
15×pow1 distribute-lft-out
14×log-pow
13×associate-+r+
12×associate-/r*
10×distribute-rgt-neg-in
9×add-exp-log associate-/l*
8×add-cbrt-cube
6×distribute-lft-neg-in associate-+l+ distribute-neg-in
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u div-inv
3×log-div associate-+r- sqrt-pow1 pow1/2
2×cbrt-undiv clear-num sum-log frac-2neg flip3-+ div-exp flip-+
1×neg-sub0 +-commutative sqrt-undiv neg-mul-1 distribute-rgt-out rem-log-exp neg-log frac-add associate-+l-
Counts
4 → 182
Calls
4 calls:
3.0ms
(log (sqrt x))
91.0ms
(+ (- (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (fma x (- x) 1.0)) (sqrt x)))))
5.0ms
(/ 1.0 (sqrt x))
6.0ms
(/ (sqrt (fma x (- x) 1.0)) (sqrt x))

series635.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(log (sqrt x))
412.0ms
(+ (- (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (fma x (- x) 1.0)) (sqrt x)))))
42.0ms
(/ 1.0 (sqrt x))
94.0ms
(/ (sqrt (fma x (- x) 1.0)) (sqrt x))

simplify1.5s

Counts
194 → 194
Iterations
IterNodes
done5000
22474
1677
0300

prune972.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x))
0.2b
(/ (sqrt 1.0) (sqrt x))
0.2b
(/ (sqrt 1.0) (sqrt x))
0.2b
(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
72×times-frac
61×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×associate-/r* associate-/l*
9×add-exp-log
8×add-cbrt-cube
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×log-prod
2×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp div-inv
1×rem-log-exp log-pow fma-udef
Counts
4 → 150
Calls
4 calls:
0.0ms
(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt 1.0) (sqrt x))
16.0ms
(/ (sqrt 1.0) (sqrt x))
2.0ms
(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
328.0ms
(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x))
72.0ms
(/ (sqrt 1.0) (sqrt x))
115.0ms
(/ (sqrt 1.0) (sqrt x))
741.0ms
(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x)))

simplify1.0s

Counts
162 → 162
Iterations
IterNodes
done5000
22079
1509
0225

prune833.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done15
115
013

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.3s24038×body80nan
750.0ms8000×body80valid