Details

Time bar (total: 10.0s)

sample31.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify45.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12817
24317
35517
45817
done5817

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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

rewrite158.0ms

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:
91.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(+ 0.99229 (* x 0.04481))
21.0ms
(* x (+ 0.99229 (* x 0.04481)))
33.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
40.0ms
(+ 0.99229 (* x 0.04481))
85.0ms
(* x (+ 0.99229 (* x 0.04481)))
86.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.4s

Counts
91 → 91
Iterations

Useful iterations: 2 (398.0ms)

IterNodesCost
01721656
14691586
220201480
done50001480

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
13.0b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt
58×add-cube-cbrt *-un-lft-identity
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×flip3-+ div-exp flip-+
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative distribute-rgt-in pow-flip distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 148
Calls
4 calls:
8.0ms
(+ 0.99229 (* x 0.04481))
29.0ms
(* x (+ 0.99229 (* x 0.04481)))
36.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
51.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ 0.99229 (* x 0.04481))
79.0ms
(* x (+ 0.99229 (* x 0.04481)))
93.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
85.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify2.6s

Counts
160 → 160
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02723779
17493521
245823321
done50003317

prune576.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ 2.30753 (* x 0.27061)))
0.2b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ 1 (/ (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ 2.30753 (* x 0.27061)))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
219×add-sqr-sqrt
127×*-un-lft-identity
98×add-cube-cbrt
89×add-exp-log
78×sqrt-prod
77×associate-*r*
43×div-exp
35×unswap-sqr
28×prod-exp
27×add-cbrt-cube
24×associate-*l*
15×rec-exp 1-exp
11×associate-/r/
10×pow1 cbrt-undiv
8×flip3-+ sqrt-div flip-+
6×cbrt-unprod div-inv associate-/l*
4×add-log-exp
3×pow-prod-down associate-/r*
2×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 associate-/l/ inv-pow
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num un-div-inv *-commutative
Counts
4 → 258
Calls
4 calls:
24.0ms
(/ (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ 2.30753 (* x 0.27061)))
148.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ 1 (/ (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ 2.30753 (* x 0.27061)))))
6.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(/ (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ 2.30753 (* x 0.27061)))
106.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ 1 (/ (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ 2.30753 (* x 0.27061)))))
101.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
120.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify990.0ms

Counts
270 → 270
Iterations

Useful iterations: done (970.0ms)

IterNodesCost
04349946
114799105
done50018360

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
01619
12419
done2419

end0.0ms

sample814.0ms

Algorithm
intervals
Results
615.0ms8000×body80valid