Details

Time bar (total: 14.3s)

sample45.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12817
24217
34817
done4817

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite149.0ms

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-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in 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 → 79
Calls
4 calls:
92.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms
(+ 2.30753 (* x 0.27061))
21.0ms
(* x (+ 0.99229 (* x 0.04481)))
26.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
52.0ms
(+ 2.30753 (* x 0.27061))
124.0ms
(* x (+ 0.99229 (* x 0.04481)))
119.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify4.0s

Counts
91 → 91
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
01721656
14401580
213801474
349111456
done50001456

prune323.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.4b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.5b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×distribute-rgt-in sub-neg flip3-- pow-flip frac-2neg distribute-lft-in diff-log clear-num un-div-inv flip-- inv-pow
Counts
4 → 109
Calls
4 calls:
32.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
31.0ms
(* x (+ 0.99229 (* x 0.04481)))
15.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
48.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
122.0ms
(* x (+ 0.99229 (* x 0.04481)))
74.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
70.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify1.3s

Counts
121 → 121
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02182304
15752058
219001860
done50011840

prune411.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
0.2b
(/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
10.1b
(cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))
12.5b
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
100×add-sqr-sqrt
93×cbrt-prod
82×*-un-lft-identity
78×add-cube-cbrt
45×associate-*r*
35×unpow-prod-down cube-prod
16×add-exp-log
13×sqr-pow
12×associate-/r*
11×cube-mult unpow3
10×unswap-sqr
8×cube-div add-cbrt-cube
7×pow1
6×flip3-+ div-exp associate-/r/ flip-+
4×pow-to-exp cbrt-div pow-exp add-log-exp
3×rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
2×frac-times associate-*l/
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 225
Calls
4 calls:
16.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
19.0ms
(/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
10.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))
111.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
87.0ms
(/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
51.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))
86.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))))

simplify1.8s

Counts
237 → 237
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03265955
16815202
220914628
done50004622

prune737.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

12.8b
(/ (- (* (/ (+ 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))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
43×times-frac
38×add-sqr-sqrt add-cube-cbrt
13×associate-/r* associate-/l*
12×add-exp-log add-cbrt-cube
8×associate-/r/ associate-/l/
7×flip3-+ flip-+
5×distribute-lft-out difference-of-squares
4×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
1×flip3-- div-sub flip--
Counts
4 → 134
Calls
4 calls:
164.0ms
(/ (- (* (/ (+ 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))
31.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
27.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
43.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
352.0ms
(/ (- (* (/ (+ 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))
90.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
82.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
92.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts
146 → 146
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01745682
14575428
215845066
done50014606

prune668.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01922
12822
done2822

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid