Details

Time bar (total: 24.8s)

sample158.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
22.0ms295×body80nan

simplify53.0ms

Counts
1 → 1
Iterations
IterNodes
421
321
219
116
09

prune13.0ms

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 x) (+ 1 x))))
0.0b
(sqrt (/ (- 1 x) (+ 1 x)))
0.0b
(/ (- 1 x) (+ 1 x))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
56×add-sqr-sqrt
49×times-frac
30×sqrt-prod
26×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/
3×insert-posit16 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 → 103
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
19.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
33.0ms
(/ (- 1 x) (+ 1 x))

series120.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
59.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
54.0ms
(/ (- 1 x) (+ 1 x))

simplify6.4s

Counts
112 → 112
Iterations
IterNodes
45069
31817
2739
1331
0168

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(/ (- 1 x) (+ 1 x))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
383×*-un-lft-identity
225×add-sqr-sqrt
222×times-frac
180×cbrt-prod
96×add-cube-cbrt
70×difference-of-squares
65×distribute-lft-out
57×swap-sqr
47×distribute-lft-out--
33×associate-*r* associate-*l*
18×associate-/l*
14×associate-/r/
12×associate-/r* add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3 associate-/l/
4×cbrt-div insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 310
Calls
4 calls:
64.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
17.0ms
(/ (- 1 x) (+ 1 x))
29.0ms
(/ (- 1 x) (+ 1 x))
32.0ms
(/ (- 1 x) (+ 1 x))

series204.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
32.0ms
(/ (- 1 x) (+ 1 x))
27.0ms
(/ (- 1 x) (+ 1 x))
36.0ms
(/ (- 1 x) (+ 1 x))

simplify2.2s

Counts
322 → 322
Iterations
IterNodes
32222
2975
1472
0247

prune4.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
189×*-un-lft-identity
123×add-sqr-sqrt
120×times-frac
96×cbrt-prod
66×add-cube-cbrt
38×difference-of-squares
33×distribute-lft-out
21×associate-/l*
19×distribute-lft-out--
12×associate-/r*
10×add-exp-log
9×add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×cbrt-undiv cbrt-div clear-num frac-2neg flip3-- div-exp flip--
2×div-sub
1×pow1/3
Counts
4 → 222
Calls
4 calls:
19.0ms
(/ (- 1 x) (+ 1 x))
32.0ms
(/ (- 1 x) (+ 1 x))
16.0ms
(/ (cbrt (- 1 x)) (+ 1 x))
6.0ms
(cbrt (/ (cbrt (- 1 x)) (+ 1 x)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (- 1 x) (+ 1 x))
24.0ms
(/ (- 1 x) (+ 1 x))
80.0ms
(/ (cbrt (- 1 x)) (+ 1 x))
123.0ms
(cbrt (/ (cbrt (- 1 x)) (+ 1 x)))

simplify2.9s

Counts
234 → 234
Iterations
IterNodes
33809
21440
1599
0297

prune4.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
224
124
019

end0.0ms

sample2.1s

Algorithm
intervals
Results
970.0ms8000×body80valid
850.0ms7931×body80nan