Details

Time bar (total: 18.0s)

sample175.0ms

Algorithm
intervals
Results
67.0ms686×body80nan
27.0ms256×body80valid

simplify3.5s

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 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))

rewrite133.0ms

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:
17.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
75.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
17.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series188.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
113.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.0s

Counts
142 → 142
Iterations
IterNodes
done5001
24729
1747
0252

prune838.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize48.0ms

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))

rewrite161.0ms

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:
20.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))))
6.0ms
(/ (cbrt 1.0) (cbrt 3.0))
87.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
34.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

series343.0ms

Counts
4 → 10
Calls
4 calls:
145.0ms
(* (/ (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))
151.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
47.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

simplify1.9s

Counts
203 → 203
Iterations
IterNodes
done5001
24882
1822
0301

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 27.0 y) z)
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
2.4b
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
5.2b
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
88×add-cbrt-cube add-exp-log
46×prod-exp cbrt-unprod
25×add-sqr-sqrt
19×associate-*l*
17×cbrt-undiv div-exp
16×*-un-lft-identity add-cube-cbrt
13×pow1
12×times-frac associate-*r*
5×pow-prod-down
4×sqrt-prod add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 120
Calls
4 calls:
23.0ms
(* (* 27.0 y) z)
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
206.0ms
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
46.0ms
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

series251.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 27.0 y) z)
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
150.0ms
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
42.0ms
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

simplify509.0ms

Counts
132 → 132
Iterations
IterNodes
done5000
1715
0237

prune591.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes357.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done30
130
024

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.4s23583×body80nan
1.5s8000×body80valid