Details

Time bar (total: 24.2s)

sample165.0ms

Algorithm
intervals
Results
69.0ms784×body80nan
24.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
42302
3500
2122
138
018

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×*-un-lft-identity add-cube-cbrt
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
4 → 130
Calls
4 calls:
27.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
86.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series225.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
142.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
44.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.6s

Counts
142 → 142
Iterations
IterNodes
done5001
24729
1747
0252

prune702.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
2.4b
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
5.1b
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×*-un-lft-identity add-cube-cbrt
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×associate-*l/
2×clear-num frac-2neg pow-prod-down *-commutative
1×associate-/l/
Counts
4 → 193
Calls
4 calls:
34.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))))
11.0ms
(/ (cbrt 1.0) (cbrt 3.0))
69.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
20.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

series302.0ms

Counts
4 → 10
Calls
4 calls:
140.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
125.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
37.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

simplify1.5s

Counts
203 → 203
Iterations
IterNodes
done5001
24882
1822
0301

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cbrt 3.0) (acos (* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))))
0.1b
(* 0.05555555555555555 (/ (/ x z) y))
2.3b
(* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))
4.3b
(/ (/ x z) y)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
108×add-sqr-sqrt
99×*-un-lft-identity add-cube-cbrt
49×associate-*r*
34×add-exp-log
33×add-cbrt-cube
19×associate-/l*
12×cbrt-prod
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
6×associate-/r*
4×associate-*l* pow-prod-down add-log-exp
3×sqrt-prod unswap-sqr
2×clear-num frac-2neg associate-*r/ *-commutative
1×associate-*l/ associate-/l/
Counts
4 → 200
Calls
4 calls:
5.0ms
(/ (cbrt 3.0) (acos (* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))))
23.0ms
(* 0.05555555555555555 (/ (/ x z) y))
39.0ms
(* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))
9.0ms
(/ (/ x z) y)

series242.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (cbrt 3.0) (acos (* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))))
43.0ms
(* 0.05555555555555555 (/ (/ x z) y))
108.0ms
(* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))
22.0ms
(/ (/ x z) y)

simplify1.5s

Counts
212 → 212
Iterations
IterNodes
done5002
24685
1882
0341

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))) (cbrt (sqrt 3.0)))
1.0b
(/ (cbrt (sqrt 3.0)) (/ (acos (* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))) (cbrt (sqrt 3.0))))
2.3b
(* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))
5.1b
(/ (/ x y) z)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
717×times-frac
396×cbrt-prod
389×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
198×sqrt-prod
43×associate-/r* associate-*r*
37×add-exp-log
33×add-cbrt-cube
25×associate-/l*
21×div-inv
13×cbrt-undiv div-exp
9×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×clear-num frac-2neg pow-prod-down
1×acos-asin div-sub associate-*l* associate-*r/ associate-/r/ *-commutative associate-/l/
Counts
4 → 523
Calls
4 calls:
14.0ms
(/ (acos (* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))) (cbrt (sqrt 3.0)))
28.0ms
(/ (cbrt (sqrt 3.0)) (/ (acos (* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))) (cbrt (sqrt 3.0))))
43.0ms
(* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))
13.0ms
(/ (/ x y) z)

series618.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(/ (acos (* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))) (cbrt (sqrt 3.0)))
269.0ms
(/ (cbrt (sqrt 3.0)) (/ (acos (* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))) (cbrt (sqrt 3.0))))
76.0ms
(* (* (sqrt t) 0.05555555555555555) (/ (/ x y) z))
28.0ms
(/ (/ x y) z)

simplify886.0ms

Counts
535 → 535
Iterations
IterNodes
done5000
12031
0709

prune3.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes421.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
124
021

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.6s24039×body80nan
1.0s8000×body80valid