Details

Time bar (total: 16.3s)

sample31.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
133931
12769
11488
10320
9258
8210
7155
6117
5106
498
374
252
131
016

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×times-frac add-cbrt-cube add-exp-log
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in associate-/r* distribute-lft-in associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp div-inv flip-- distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
185.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
9.0ms
(+ 0.99229 (* x 0.04481))
24.0ms
(* x (+ 0.99229 (* x 0.04481)))
41.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
42.0ms
(+ 0.99229 (* x 0.04481))
103.0ms
(* x (+ 0.99229 (* x 0.04481)))
70.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8s

Counts
103 → 103
Iterations
IterNodes
done5002
22377
1554
0202

prune649.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 2.30753 (* x 0.27061)))
0.7b
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.5b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
12.4b
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
62×add-sqr-sqrt
54×*-un-lft-identity add-cube-cbrt
49×cbrt-prod
32×cbrt-div
30×associate-/r*
20×add-exp-log
17×flip3-+ flip-+
11×pow1 add-cbrt-cube
10×associate-/l/
8×frac-times
7×cbrt-undiv pow1/3 div-exp associate-/r/
6×swap-sqr associate-*r* associate-*l*
4×associate-*l/ associate-*r/ div-inv associate-/l* add-log-exp unswap-sqr
3×prod-exp cbrt-unprod
2×clear-num frac-2neg pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 180
Calls
4 calls:
3.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
24.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
39.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
34.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
252.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
263.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
112.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

simplify2.1s

Counts
192 → 192
Iterations
IterNodes
done5000
11130
0410

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

15.5b
(/ (* 0.70711 (- (* (/ (+ 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))
15.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
31×times-frac
30×add-sqr-sqrt add-cube-cbrt
15×add-cbrt-cube add-exp-log
13×associate-/r*
10×associate-/l*
8×associate-/r/ associate-/l/
7×flip3-+ flip-+
5×cbrt-undiv div-exp
4×pow1 clear-num frac-2neg div-inv add-log-exp
2×associate-*r/ distribute-lft-out
1×flip3-- prod-exp cbrt-unprod flip--
Counts
4 → 120
Calls
4 calls:
84.0ms
(/ (* 0.70711 (- (* (/ (+ 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))
19.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
28.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
22.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
321.0ms
(/ (* 0.70711 (- (* (/ (+ 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))
85.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
87.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
83.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.3s

Counts
132 → 132
Iterations
IterNodes
done5000
22501
1486
0170

prune735.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.6316775383 (- (* 1.343622873166987 (* x x)) (* 2.1348562673797074 x)))
0.0b
(- (* 1.343622873166987 (* x x)) (* 2.1348562673797074 x))
0.1b
(* 1.343622873166987 (* x x))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
6×*-un-lft-identity
5×add-sqr-sqrt
4×add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ sum-log sub-neg diff-log
1×+-commutative associate-+r- flip3-+ flip3-- associate-*r* *-commutative flip-+ flip-- distribute-lft-out unswap-sqr
Counts
3 → 47
Calls
3 calls:
36.0ms
(+ 1.6316775383 (- (* 1.343622873166987 (* x x)) (* 2.1348562673797074 x)))
27.0ms
(- (* 1.343622873166987 (* x x)) (* 2.1348562673797074 x))
20.0ms
(* 1.343622873166987 (* x x))

series149.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ 1.6316775383 (- (* 1.343622873166987 (* x x)) (* 2.1348562673797074 x)))
84.0ms
(- (* 1.343622873166987 (* x x)) (* 2.1348562673797074 x))
27.0ms
(* 1.343622873166987 (* x x))

simplify1.1s

Counts
56 → 56
Iterations
IterNodes
done5001
21329
1263
082

prune173.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample697.0ms

Algorithm
intervals
Results
557.0ms8000×body80valid