Details

Time bar (total: 15.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12217
23317
34817
45617
56217
68417
711217
814017
916317
1020517
1125117
1226117
1327817
1431417
1540217
1662717
1783417
1897617
19108217
20115217
21122717
22124317
23124817
done124817

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
12.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
7.0ms
(* (+ 0.99229 (* x 0.04481)) x)
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ 0.99229 (* x 0.04481))
88.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
64.0ms
(* (+ 0.99229 (* x 0.04481)) x)
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify2.6s

Counts
89 → 89
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01701668
14151584
212481472
343701468
done50001468

prune217.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.2b
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
14.8b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.8b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
20.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
2.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
60.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
80.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
83.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify947.0ms

Counts
276 → 276
Iterations

Useful iterations: done (933.0ms)

IterNodesCost
038412269
192510977
2233410279
done500010277

prune583.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ 2.30753 (* x 0.27061)))
0.2b
(/ (/ 1 (/ (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ 2.30753 (* x 0.27061)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
14.8b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.8b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
1362×times-frac
627×add-sqr-sqrt
625×add-cube-cbrt *-un-lft-identity
441×sqrt-prod
83×associate-/l*
53×associate-/r/
30×div-inv
26×flip3-+ flip-+
25×add-exp-log
15×div-exp add-cbrt-cube
9×associate-/r*
8×sqrt-div
7×cbrt-undiv
6×pow1
4×add-log-exp
3×associate-/l/
2×rem-sqrt-square rec-exp frac-2neg sqrt-pow1 pow1/2 1-exp clear-num
Counts
4 → 641
Calls
4 calls:
8.0ms
(/ (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ 2.30753 (* x 0.27061)))
40.0ms
(/ (/ 1 (/ (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ 2.30753 (* x 0.27061)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(/ (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ 2.30753 (* x 0.27061)))
57.0ms
(/ (/ 1 (/ (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ 2.30753 (* x 0.27061)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
79.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
82.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify2.7s

Counts
653 → 653
Iterations

Useful iterations: 2 (2.0s)

IterNodesCost
094035589
1231830674
2492328317
done500028317

prune806.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 0.99229 (* x 0.04481)) x)
0.2b
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
2.7b
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
20.7b
(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
31×add-sqr-sqrt
25×add-exp-log times-frac add-cbrt-cube
24×add-cube-cbrt *-un-lft-identity
22×associate-*l*
19×pow-prod-down
17×associate-*l/
11×prod-exp cbrt-unprod
8×flip3-+ flip-+
7×associate-*r* difference-of-squares
6×frac-times
4×flip3-- associate-*r/ associate-/r* associate-/r/ pow-sqr pow-prod-up flip-- add-log-exp
3×*-commutative associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in pow-plus div-exp div-inv associate-/l/
1×pow2 frac-2neg swap-sqr clear-num
Counts
4 → 142
Calls
4 calls:
7.0ms
(* (+ 0.99229 (* x 0.04481)) x)
19.0ms
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
12.0ms
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
24.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ 0.99229 (* x 0.04481)) x)
42.0ms
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
74.0ms
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
120.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.0s

Counts
154 → 154
Iterations

Useful iterations: 2 (371.0ms)

IterNodesCost
02654598
17254333
229803857
done50013857

prune360.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01831
12631
done2631

end0.0ms

sample353.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid