Details

Time bar (total: 9.1s)

sample28.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify44.0ms

Counts
1 → 1
Iterations
IterNodes
done63
463
356
243
128
014

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×+-commutative sum-log associate-*r/ associate-/r/ associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
8.0ms
(+ 0.99229 (* x 0.04481))
8.0ms
(+ 2.30753 (* x 0.27061))
30.0ms
(* x (+ 0.99229 (* x 0.04481)))
30.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ 0.99229 (* x 0.04481))
51.0ms
(+ 2.30753 (* x 0.27061))
117.0ms
(* x (+ 0.99229 (* x 0.04481)))
87.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
21929
1431
0155

prune529.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.4b
(cbrt (* (* (/ (+ 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)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
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 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*r/ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 110
Calls
4 calls:
37.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
97.0ms
(cbrt (* (* (/ (+ 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)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

series338.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
81.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
86.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
87.0ms
(cbrt (* (* (/ (+ 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)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

simplify1.4s

Counts
122 → 122
Iterations
IterNodes
done5002
21545
1332
0122

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x x) 1.900161040244073) (- 2.30753 (* 2.0191289436999997 x)))
0.0b
(- (+ (* (* x x) 1.900161040244073) (- 2.30753 (* 2.0191289436999997 x))) x)
0.1b
(* (* x x) 1.900161040244073)

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×*-un-lft-identity
5×diff-log
4×sum-log add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ associate-+r- sub-neg
1×associate--l- +-commutative flip3-+ flip3-- associate-*l* associate--l+ *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 52
Calls
3 calls:
20.0ms
(+ (* (* x x) 1.900161040244073) (- 2.30753 (* 2.0191289436999997 x)))
248.0ms
(- (+ (* (* x x) 1.900161040244073) (- 2.30753 (* 2.0191289436999997 x))) x)
29.0ms
(* (* x x) 1.900161040244073)

series112.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* (* x x) 1.900161040244073) (- 2.30753 (* 2.0191289436999997 x)))
30.0ms
(- (+ (* (* x x) 1.900161040244073) (- 2.30753 (* 2.0191289436999997 x))) x)
44.0ms
(* (* x x) 1.900161040244073)

simplify1.4s

Counts
61 → 61
Iterations
IterNodes
done5001
21524
1259
097

prune244.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
124
017

end0.0ms

sample987.0ms

Algorithm
intervals
Results
756.0ms8000×body80valid