Details

Time bar (total: 6.7s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12217
23317
34817
45617
56217
68417
711217
814017
916317
1024017
1133517
1255017
13161417
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
13.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite33.0ms

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-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg 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 → 77
Calls
4 calls:
13.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
2.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(* (+ 0.99229 (* x 0.04481)) x)
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
32.0ms
(+ 0.99229 (* x 0.04481))
65.0ms
(* (+ 0.99229 (* x 0.04481)) x)
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify503.0ms

Counts
89 → 89
Iterations

Useful iterations: done (500.0ms)

IterNodesCost
01701668
14151584
213021472
done50021468

prune207.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

7.3b
(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
14.0b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.0b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.0b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
73.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
2.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series493.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
147.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
141.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
143.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify888.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (327.0ms)

IterNodesCost
02535334
17524974
227753996
done50003996

prune441.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12017
done2017

end0.0ms

sample338.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid