Details

Time bar (total: 11.5s)

sample243.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
13.0ms250×body80nan

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done21
321
219
116
09

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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:
14.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
21.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series151.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
48.0ms
(/ (- 1.0 x) (+ 1.0 x))
10.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify632.0ms

Counts
100 → 100
Iterations
IterNodes
done5000
21394
1354
0162

prune561.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))
0.0b
(sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
0.0b
(atan (sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
0.0b
(* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
184×*-un-lft-identity
91×times-frac
79×add-sqr-sqrt
55×distribute-lft-out
51×associate-*l*
44×unpow-prod-down cube-prod
36×add-cube-cbrt
19×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube add-exp-log sum-cubes
9×pow1 associate-/r*
6×flip3-+ flip-+
5×sqrt-div associate-/l*
4×frac-times associate-*r/ associate-/r/ add-log-exp
3×associate-*r*
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in flip3-- pow1/2 div-sub *-commutative sqrt-prod flip--
Counts
4 → 175
Calls
4 calls:
77.0ms
(/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))
43.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
1.0ms
(atan (sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
204.0ms
(* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))
194.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
8.0ms
(atan (sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
119.0ms
(* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify2.0s

Counts
187 → 187
Iterations
IterNodes
done5000
24164
1820
0249

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (cbrt (+ x 1.0)))
0.0b
(cbrt (+ x 1.0))
0.0b
(cbrt (+ x 1.0))
0.0b
(cbrt (+ x 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×cbrt-prod
23×add-sqr-sqrt add-cube-cbrt
21×times-frac
8×cbrt-div add-exp-log
7×associate-/r* distribute-lft-out
5×pow1 add-cbrt-cube
4×flip3-+ pow1/3 flip-+ add-log-exp
3×associate-/l*
2×div-exp associate-/r/ pow-flip
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv inv-pow
Counts
4 → 92
Calls
4 calls:
10.0ms
(/ 1 (cbrt (+ x 1.0)))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series526.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(/ 1 (cbrt (+ x 1.0)))
136.0ms
(cbrt (+ x 1.0))
109.0ms
(cbrt (+ x 1.0))
131.0ms
(cbrt (+ x 1.0))

simplify2.7s

Counts
104 → 104
Iterations
IterNodes
done5000
34877
21100
1345
0158

prune682.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s8000×body80valid
502.0ms8142×body80nan