Details

Time bar (total: 13.2s)

sample50.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
13119
25219
37419
410219
511219
612319
716119
821619
926419
1033219
1150519
1278419
13398719
done500019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
139.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(+ 2.30753 (* x 0.27061))
16.0ms
(* x (+ 0.99229 (* x 0.04481)))
30.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series310.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
42.0ms
(+ 2.30753 (* x 0.27061))
84.0ms
(* x (+ 0.99229 (* x 0.04481)))
67.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02021888
15571816
223991670
done50001668

prune346.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(+ (* 0.04481 (pow x 2)) (* 0.99229 x))
0.1b
(* 0.04481 (pow x 2))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
16×add-cube-cbrt
12×times-frac
11×add-exp-log
8×associate-*r* add-cbrt-cube add-log-exp
4×pow1 unpow-prod-down flip3-+ associate-/r* flip-+ distribute-lft-out unswap-sqr
3×associate-*l* prod-exp associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/ unpow2 sqr-pow
1×cbrt-undiv pow-to-exp frac-2neg div-exp pow-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 84
Calls
4 calls:
6.0ms
(+ 2.30753 (* x 0.27061))
10.0ms
(+ (* 0.04481 (pow x 2)) (* 0.99229 x))
13.0ms
(* 0.04481 (pow x 2))
71.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ 2.30753 (* x 0.27061))
123.0ms
(+ (* 0.04481 (pow x 2)) (* 0.99229 x))
30.0ms
(* 0.04481 (pow x 2))
71.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01681556
14361470
218951355
done50001353

prune416.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
3.0b
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
21.4b
(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite229.0ms

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
18×associate-*r/
11×prod-exp cbrt-unprod
8×flip3-+ flip-+
7×distribute-rgt-in distribute-lft-in associate-*r* difference-of-squares
6×frac-times
4×flip3-- associate-/r* associate-/r/ pow-sqr pow-prod-up flip-- add-log-exp
3×associate-*l/ *-commutative associate-/l* unswap-sqr
2×cbrt-undiv sub-neg pow-plus div-exp div-inv associate-/l/
1×pow2 frac-2neg swap-sqr clear-num
Counts
4 → 148
Calls
4 calls:
21.0ms
(* x (+ 0.99229 (* x 0.04481)))
63.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
57.0ms
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
78.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series386.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* x (+ 0.99229 (* x 0.04481)))
62.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
88.0ms
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
153.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify544.0ms

Counts
160 → 160
Iterations

Useful iterations: done (534.0ms)

IterNodesCost
02764710
18464445
done50003995

prune500.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
0.5b
(* (* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite609.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
25×add-cube-cbrt
20×times-frac
18×associate-*r*
15×add-exp-log add-cbrt-cube
14×sqrt-div
13×sqrt-prod
11×pow1
10×associate-*r/
7×flip3-- flip--
6×associate-/r* associate-/l*
4×frac-times flip3-+ associate-*l* pow-prod-down prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ add-log-exp difference-of-squares
2×cbrt-undiv frac-2neg div-exp associate-*l/ clear-num *-commutative div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 121
Calls
4 calls:
194.0ms
(* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
323.0ms
(* (* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
33.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
53.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
118.0ms
(* (* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
95.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
78.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.3s

Counts
133 → 133
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02214367
15693717
226703409
done50013368

prune587.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01821
12521
done2521

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid