Details

Time bar (total: 10.3s)

sample257.0ms

Algorithm
intervals
Results
44.0ms250×body80nan
16.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
done21
321
219
116
09

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize164.0ms

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))))

rewrite137.0ms

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:
60.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
66.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series317.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
170.0ms
(/ (- 1.0 x) (+ 1.0 x))
15.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify1.8s

Counts
106 → 106
Iterations
IterNodes
done5001
21459
1370
0168

prune558.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
35×*-un-lft-identity
23×add-cube-cbrt
22×associate-*l*
20×add-cbrt-cube add-exp-log
18×prod-diff
16×associate-/r/
14×frac-times
12×distribute-rgt-in distribute-lft-in flip3-- flip--
10×times-frac
9×flip3-+ associate-*r* flip-+
8×pow1 associate-*r/
7×associate-*l/
6×prod-exp cbrt-unprod
5×associate-/l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×sub-neg pow-prod-down *-commutative div-inv unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub distribute-lft-out
Counts
4 → 147
Calls
4 calls:
37.0ms
(/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0)))
41.0ms
(* (- 1.0 x) (+ x 1.0))
0.0ms
(atan (sqrt (* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))))
80.0ms
(* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))

series180.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0)))
110.0ms
(* (- 1.0 x) (+ x 1.0))
3.0ms
(atan (sqrt (* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))))
41.0ms
(* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))

simplify870.0ms

Counts
159 → 159
Iterations
IterNodes
done5000
1773
0242

prune850.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.0b
(cbrt (+ x 1.0))
0.0b
(cbrt (+ x 1.0))
0.0b
(cbrt (+ x 1.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
31.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
11.0ms
(cbrt (+ x 1.0))

series485.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
113.0ms
(cbrt (+ x 1.0))
114.0ms
(cbrt (+ x 1.0))
121.0ms
(cbrt (+ x 1.0))

simplify1.3s

Counts
115 → 115
Iterations
IterNodes
done5000
21236
1346
0143

prune908.0ms

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

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample2.0s

Algorithm
intervals
Results
992.0ms8142×body80nan
612.0ms8000×body80valid