Details

Time bar (total: 13.5s)

sample161.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
17.0ms281×body80nan

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
done21
321
219
116
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-cbrt-cube add-exp-log associate-/l*
4×pow1 associate-/r* associate-/r/
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 97
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
17.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
24.0ms
(/ (- 1.0 x) (+ 1.0 x))

series185.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
119.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
61.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify2.5s

Counts
106 → 106
Iterations
IterNodes
done5000
34272
21034
1369
0168

prune466.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 x))
0.0b
(sqrt (- 1.0 x))
0.0b
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
0.0b
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
78×*-un-lft-identity
62×add-sqr-sqrt
56×times-frac
40×add-cube-cbrt
10×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×sqrt-div associate-/l*
7×associate-/r*
6×pow1 add-cbrt-cube add-exp-log
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp hypot-def div-inv
Counts
4 → 137
Calls
4 calls:
6.0ms
(sqrt (+ 1.0 x))
8.0ms
(sqrt (- 1.0 x))
7.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
22.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(sqrt (+ 1.0 x))
35.0ms
(sqrt (- 1.0 x))
3.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
91.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

simplify2.0s

Counts
149 → 149
Iterations
IterNodes
done5000
32099
2812
1360
0190

prune635.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan (sqrt (- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))))
0.0b
(/ 1.0 (+ 1.0 x))
0.0b
(- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))
0.0b
(/ x (+ 1.0 x))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
582×*-un-lft-identity
484×times-frac
332×add-sqr-sqrt
324×prod-diff
320×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r* add-cbrt-cube add-exp-log
7×distribute-lft-out--
6×associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u difference-of-squares
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 451
Calls
4 calls:
1.0ms
(atan (sqrt (- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))))
12.0ms
(/ 1.0 (+ 1.0 x))
119.0ms
(- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))
12.0ms
(/ x (+ 1.0 x))

series182.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(atan (sqrt (- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))))
44.0ms
(/ 1.0 (+ 1.0 x))
78.0ms
(- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))
53.0ms
(/ x (+ 1.0 x))

simplify2.8s

Counts
463 → 463
Iterations
IterNodes
done5000
22733
11087
0464

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.9s

Algorithm
intervals
Results
822.0ms7989×body80nan
705.0ms8000×body80valid