Details

Time bar (total: 14.6s)

sample21.0ms

Algorithm
intervals
Results
10.0ms350×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2157
done157

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x x) 2.0)
0.0b
(- (* (* x x) 2.0) 1.0)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- unswap-sqr
Counts
2 → 31
Calls
2 calls:
43.0ms
(* (* x x) 2.0)
20.0ms
(- (* (* x x) 2.0) 1.0)

series120.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (* x x) 2.0)
78.0ms
(- (* (* x x) 2.0) 1.0)

simplify3.3s

Counts
37 → 37
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
060335
1140317
2414275
31099275
42312275
done5000275

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* (sqrt 2.0) x) (* (sqrt 2.0) x)) 1.0)
0.4b
(* (* (sqrt 2.0) x) (* (sqrt 2.0) x))
0.4b
(* (sqrt 2.0) x)
0.4b
(* (sqrt 2.0) x)

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt pow-prod-down
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod
7×associate-*r*
6×add-log-exp
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus
1×pow2 sub-neg flip3-- diff-log swap-sqr flip-- difference-of-squares
Counts
4 → 91
Calls
4 calls:
72.0ms
(- (* (* (sqrt 2.0) x) (* (sqrt 2.0) x)) 1.0)
56.0ms
(* (* (sqrt 2.0) x) (* (sqrt 2.0) x))
10.0ms
(* (sqrt 2.0) x)
10.0ms
(* (sqrt 2.0) x)

series339.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(- (* (* (sqrt 2.0) x) (* (sqrt 2.0) x)) 1.0)
83.0ms
(* (* (sqrt 2.0) x) (* (sqrt 2.0) x))
60.0ms
(* (sqrt 2.0) x)
67.0ms
(* (sqrt 2.0) x)

simplify3.9s

Counts
103 → 103
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
083950
1179673
2612591
32065581
done5000581

prune189.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 2.0 (pow x 2)))
0.0b
(* 2.0 (pow x 2))
0.0b
(* (* (pow x 4) 2.0) 2.0)
12.0b
(/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (+ 1.0 (* 2.0 (pow x 2))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×add-exp-log
16×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
11×associate-*r*
10×prod-exp
9×times-frac
6×pow1 add-log-exp
4×unpow-prod-down associate-*l* cbrt-unprod unswap-sqr
3×associate-/r* associate-/l*
2×pow-to-exp flip3-+ pow-exp associate-/r/ *-commutative flip-+ associate-/l/ unpow2 sqr-pow
1×cbrt-undiv +-commutative flip3-- frac-2neg div-sub div-exp pow-prod-down clear-num sum-log flip-- div-inv
Counts
4 → 89
Calls
4 calls:
9.0ms
(+ 1.0 (* 2.0 (pow x 2)))
20.0ms
(* 2.0 (pow x 2))
32.0ms
(* (* (pow x 4) 2.0) 2.0)
80.0ms
(/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (+ 1.0 (* 2.0 (pow x 2))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ 1.0 (* 2.0 (pow x 2)))
37.0ms
(* 2.0 (pow x 2))
42.0ms
(* (* (pow x 4) 2.0) 2.0)
193.0ms
(/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (+ 1.0 (* 2.0 (pow x 2))))

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01581606
13971524
212461375
done50011368

prune347.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 (* 2.0 (pow x 2))))
0.2b
(cbrt (+ 1.0 (* 2.0 (pow x 2))))
2.3b
(/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (cbrt (+ 1.0 (* 2.0 (pow x 2)))))
9.6b
(* (/ 1 (* (cbrt (+ 1.0 (* 2.0 (pow x 2)))) (cbrt (+ 1.0 (* 2.0 (pow x 2)))))) (/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (cbrt (+ 1.0 (* 2.0 (pow x 2))))))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
51×add-exp-log times-frac
39×*-un-lft-identity
36×add-cube-cbrt
30×cbrt-prod
24×associate-*r*
20×cbrt-div prod-exp
19×add-cbrt-cube
16×div-exp
15×associate-*l*
12×associate-/r/
10×flip3-+ flip-+
9×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×pow1 associate-/r*
5×frac-times
4×rec-exp 1-exp add-log-exp
3×associate-*r/ associate-*l/ div-inv associate-/l*
2×pow1/3 associate-/l/
1×flip3-- frac-2neg div-sub pow-prod-down clear-num *-commutative flip--
Counts
4 → 150
Calls
4 calls:
5.0ms
(cbrt (+ 1.0 (* 2.0 (pow x 2))))
5.0ms
(cbrt (+ 1.0 (* 2.0 (pow x 2))))
89.0ms
(/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (cbrt (+ 1.0 (* 2.0 (pow x 2)))))
220.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* 2.0 (pow x 2)))) (cbrt (+ 1.0 (* 2.0 (pow x 2)))))) (/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (cbrt (+ 1.0 (* 2.0 (pow x 2))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt (+ 1.0 (* 2.0 (pow x 2))))
278.0ms
(cbrt (+ 1.0 (* 2.0 (pow x 2))))
438.0ms
(/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (cbrt (+ 1.0 (* 2.0 (pow x 2)))))
208.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* 2.0 (pow x 2)))) (cbrt (+ 1.0 (* 2.0 (pow x 2)))))) (/ (- (* (* (pow x 4) 2.0) 2.0) (* 1.0 1.0)) (cbrt (+ 1.0 (* 2.0 (pow x 2))))))

simplify1.5s

Counts
162 → 162
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02936397
18246053
228435094
done50014891

prune606.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample593.0ms

Algorithm
intervals
Results
319.0ms10717×body80valid