Details

Time bar (total: 18.7s)

sample37.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
13.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite396.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
101.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
237.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
30.0ms
(* x (+ 0.99229 (* x 0.04481)))
25.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
140.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
123.0ms
(* x (+ 0.99229 (* x 0.04481)))
87.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.5s

Counts
107 → 107
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02062229
15652159
224071981
done50021979

prune373.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* 0.70711 (- x)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
13.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*l*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*r* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative distribute-rgt-neg-out div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg associate-*l/ clear-num sum-log
Counts
4 → 100
Calls
4 calls:
35.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* 0.70711 (- x)))
32.0ms
(* x (+ 0.99229 (* x 0.04481)))
72.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
50.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* 0.70711 (- x)))
106.0ms
(* x (+ 0.99229 (* x 0.04481)))
102.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
89.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.2s

Counts
112 → 112
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02242336
16442251
231452013
done50002007

prune541.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.4b
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.5b
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×flip3-+ associate-*l* flip-+ add-log-exp
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv frac-times div-exp pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out div-inv
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg clear-num sum-log
Counts
4 → 102
Calls
4 calls:
18.0ms
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
34.0ms
(* x (+ 0.99229 (* x 0.04481)))
19.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
55.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
105.0ms
(* x (+ 0.99229 (* x 0.04481)))
63.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
91.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify2.5s

Counts
114 → 114
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02302258
16772173
236871963
done50001957

prune494.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

13.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.1b
(/ (* 0.70711 (- (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3) (pow x 3))) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))

rewrite437.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
15×add-exp-log add-cbrt-cube
14×associate-/r/
12×associate-/r*
10×flip3-+ flip-+ associate-/l*
8×associate-/l/
6×frac-add
5×cbrt-undiv div-exp
4×pow1 frac-2neg associate-*r/ clear-num div-inv add-log-exp
2×frac-times associate-*l/
1×flip3-- prod-exp flip-- cbrt-unprod
Counts
4 → 124
Calls
4 calls:
48.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
29.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
39.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
313.0ms
(/ (* 0.70711 (- (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3) (pow x 3))) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
105.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
104.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
472.0ms
(/ (* 0.70711 (- (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3) (pow x 3))) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))

simplify2.5s

Counts
136 → 136
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02116020
16695676
238885050
done50005046

prune895.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01822
12922
23322
33422
done3422

end0.0ms

sample938.0ms

Algorithm
intervals
Results
731.0ms8000×body80valid