Details

Time bar (total: 9.1s)

sample253.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
18.0ms271×body80nan

simplify18.0ms

Counts
1 → 1
Iterations
IterNodes
done21
321
219
116
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite71.0ms

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×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 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
15.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
50.0ms
(/ (- 1.0 x) (+ 1.0 x))

series148.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
98.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
46.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify2.2s

Counts
100 → 100
Iterations
IterNodes
done5002
33886
2928
1348
0162

prune500.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×pow1
21×times-frac
16×add-cube-cbrt
14×add-cbrt-cube add-exp-log
11×cube-unmult
9×add-log-exp
6×flip3-+ flip-+
5×sqrt-div pow-prod-down prod-exp sum-cubes pow-prod-up cbrt-unprod
4×frac-times associate-*r* associate-*r/ distribute-lft-out-- difference-of-squares
3×unswap-sqr
2×associate-+r+ sum-log sqrt-pow1 associate-*l/ associate-/r/ *-commutative
1×pow2 distribute-rgt-in cbrt-undiv +-commutative associate-+r- sub-neg distribute-lft-in pow-plus pow1/2 diff-log div-exp pow-sqr sqrt-prod div-inv
Counts
4 → 106
Calls
4 calls:
14.0ms
(+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))
41.0ms
(sqrt (* (/ (- 1.0 x) (+ (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
162.0ms
(* (/ (- 1.0 x) (+ (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
19.0ms
(* x (* x x))

series335.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))
189.0ms
(sqrt (* (/ (- 1.0 x) (+ (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
87.0ms
(* (/ (- 1.0 x) (+ (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
36.0ms
(* x (* x x))

simplify2.5s

Counts
118 → 118
Iterations
IterNodes
done5001
22620
1694
0210

prune676.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done24
124
017

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s8000×body80valid
520.0ms8157×body80nan