Details

Time bar (total: 27.5s)

sample63.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify8.9s

Counts
1 → 1
Iterations
IterNodes
done5001
143988
131809
12737
11453
10309
9254
8207
7156
6118
5105
494
371
252
131
016

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

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))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite502.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-cbrt-cube add-exp-log
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ insert-posit16 difference-of-squares
3×distribute-rgt-in associate-/r* sub-neg distribute-lft-in flip3-+ flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- distribute-lft-out-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num frac-2neg diff-log div-exp div-inv
Counts
4 → 99
Calls
4 calls:
163.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
260.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
25.0ms
(* x (+ 0.99229 (* x 0.04481)))
49.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
122.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
108.0ms
(* x (+ 0.99229 (* x 0.04481)))
90.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify3.5s

Counts
111 → 111
Iterations
IterNodes
done5000
21774
1558
0210

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize58.0ms

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)))))) (* 0.70711 (- x)))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* 0.70711 (/ (+ 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)))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*r*
13×add-cbrt-cube add-exp-log
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/ insert-posit16
3×associate-/r* prod-exp associate-*r/ cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-rgt-neg-out div-inv associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in unsub-neg distribute-lft-out
Counts
4 → 105
Calls
4 calls:
30.0ms
(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
27.0ms
(* x (+ 0.99229 (* x 0.04481)))
62.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
47.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
103.0ms
(* x (+ 0.99229 (* x 0.04481)))
130.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
99.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify4.4s

Counts
117 → 117
Iterations
IterNodes
done5002
22422
1641
0224

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize164.0ms

Local error

Found 4 expressions with local error:

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)))))
18.6b
(cbrt (* (* (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))

rewrite722.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
15×associate-*r/
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
7×cbrt-div
6×flip3-+ associate-/r/ flip-+ associate-/l/
5×frac-times associate-*l/
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 114
Calls
4 calls:
42.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
44.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
563.0ms
(cbrt (* (* (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
94.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
124.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
222.0ms
(cbrt (* (* (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))

simplify2.7s

Counts
126 → 126
Iterations
IterNodes
done5000
21337
1382
0149

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done34
334
233
129
018

end0.0ms

sample936.0ms

Algorithm
intervals
Results
733.0ms8000×body80valid