Details

Time bar (total: 9.7s)

sample36.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
22212
done2212

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1 add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 59
Calls
3 calls:
19.0ms
(* 1.1283791670955126 (exp z))
19.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
31.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series236.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* 1.1283791670955126 (exp z))
87.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
123.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.4s

Counts
68 → 68
Iterations

Useful iterations: 3 (936.0ms)

IterNodesCost
0119886
1281858
2966792
34968786
done5000786

prune271.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.1b
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
18×add-exp-log
16×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 136
Calls
4 calls:
18.0ms
(* 1.1283791670955126 (exp z))
34.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
26.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
29.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series282.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 1.1283791670955126 (exp z))
81.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
82.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
93.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.6s

Counts
148 → 148
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02232616
15812379
226972249
done50012049

prune357.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.1283791670955126 y) (exp z))
0.1b
(/ (sqrt 1) (- (* (/ 1.1283791670955126 y) (exp z)) x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×times-frac
25×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×sqrt-prod
9×add-cbrt-cube
7×add-exp-log
6×associate-/l*
4×pow1
3×associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv add-log-exp unswap-sqr
1×flip3-- frac-2neg pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 73
Calls
2 calls:
22.0ms
(* (/ 1.1283791670955126 y) (exp z))
43.0ms
(/ (sqrt 1) (- (* (/ 1.1283791670955126 y) (exp z)) x))

series106.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (/ 1.1283791670955126 y) (exp z))
77.0ms
(/ (sqrt 1) (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify934.0ms

Counts
79 → 79
Iterations

Useful iterations: done (930.0ms)

IterNodesCost
01621184
13661036
21724956
done5000954

prune182.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.5641895835477563 z) 1.1283791670955126)
0.0b
(+ x (/ y (+ (* z (+ (* 0.5641895835477563 z) 1.1283791670955126)) 1.1283791670955126)))
0.1b
(* z (+ (* 0.5641895835477563 z) 1.1283791670955126))
2.8b
(/ y (+ (* z (+ (* 0.5641895835477563 z) 1.1283791670955126)) 1.1283791670955126))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×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×+-commutative associate-*r/ sum-log associate-/r/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv distribute-lft-out unswap-sqr
Counts
4 → 74
Calls
4 calls:
8.0ms
(+ (* 0.5641895835477563 z) 1.1283791670955126)
46.0ms
(+ x (/ y (+ (* z (+ (* 0.5641895835477563 z) 1.1283791670955126)) 1.1283791670955126)))
26.0ms
(* z (+ (* 0.5641895835477563 z) 1.1283791670955126))
28.0ms
(/ y (+ (* z (+ (* 0.5641895835477563 z) 1.1283791670955126)) 1.1283791670955126))

series322.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* 0.5641895835477563 z) 1.1283791670955126)
116.0ms
(+ x (/ y (+ (* z (+ (* 0.5641895835477563 z) 1.1283791670955126)) 1.1283791670955126)))
75.0ms
(* z (+ (* 0.5641895835477563 z) 1.1283791670955126))
82.0ms
(/ y (+ (* z (+ (* 0.5641895835477563 z) 1.1283791670955126)) 1.1283791670955126))

simplify1.0s

Counts
86 → 86
Iterations

Useful iterations: 2 (311.0ms)

IterNodesCost
01551270
14171204
216781130
done50011130

prune232.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01213
11612
done1612

end0.0ms

sample1.2s

Algorithm
intervals
Results
814.0ms8000×body80valid