Details

Time bar (total: 21.4s)

sample192.0ms

Algorithm
intervals
Results
73.0ms830×body80nan
39.0ms256×body80valid

simplify3.4s

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize44.0ms

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))))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite169.0ms

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)))
13.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
44.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series228.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (/ x (* y 27.0)))
25.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
128.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
142 → 142
Iterations
IterNodes
done5001
24729
1747
0252

prune804.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1 (sqrt 3.0)) (/ (* 1.0 (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t)))) (sqrt 3.0)))
1.0b
(/ 1 (sqrt 3.0))
2.6b
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
4.9b
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
121×add-exp-log
101×add-cbrt-cube
54×add-sqr-sqrt
49×prod-exp
48×times-frac
41×cbrt-unprod
40×*-un-lft-identity div-exp
38×add-cube-cbrt
32×cbrt-undiv
30×sqrt-prod
27×associate-*l*
16×associate-*r*
10×pow1
7×associate-/r* unswap-sqr
5×div-inv
4×rec-exp 1-exp associate-/l* add-log-exp
3×associate-*l/ pow-flip
2×clear-num frac-2neg pow-prod-down *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow associate-/l/
Counts
4 → 183
Calls
4 calls:
38.0ms
(* (/ 1 (sqrt 3.0)) (/ (* 1.0 (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t)))) (sqrt 3.0)))
7.0ms
(/ 1 (sqrt 3.0))
133.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
37.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

series325.0ms

Counts
4 → 10
Calls
4 calls:
170.0ms
(* (/ 1 (sqrt 3.0)) (/ (* 1.0 (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t)))) (sqrt 3.0)))
0.0ms
(/ 1 (sqrt 3.0))
124.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
31.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

simplify542.0ms

Counts
193 → 193
Iterations
IterNodes
done5001
1983
0311

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1 (sqrt 3.0)) (/ (* 1.0 (acos (* (* (/ (/ x z) y) 0.05555555555555555) (sqrt t)))) (sqrt 3.0)))
1.0b
(/ 1 (sqrt 3.0))
2.6b
(* (* (/ (/ x z) y) 0.05555555555555555) (sqrt t))
3.7b
(/ (/ x z) y)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
121×times-frac
91×add-sqr-sqrt
81×*-un-lft-identity
79×add-cube-cbrt
66×add-exp-log
46×add-cbrt-cube
29×sqrt-prod
23×associate-*l* prod-exp
22×div-exp
16×associate-*r* associate-/l*
15×cbrt-unprod
14×cbrt-undiv
13×pow1
9×associate-/r*
8×div-inv
5×unswap-sqr
4×rec-exp 1-exp pow-prod-down add-log-exp
3×associate-*l/ pow-flip
2×clear-num frac-2neg *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow associate-/l/
Counts
4 → 208
Calls
4 calls:
32.0ms
(* (/ 1 (sqrt 3.0)) (/ (* 1.0 (acos (* (* (/ (/ x z) y) 0.05555555555555555) (sqrt t)))) (sqrt 3.0)))
5.0ms
(/ 1 (sqrt 3.0))
54.0ms
(* (* (/ (/ x z) y) 0.05555555555555555) (sqrt t))
22.0ms
(/ (/ x z) y)

series769.0ms

Counts
4 → 10
Calls
4 calls:
600.0ms
(* (/ 1 (sqrt 3.0)) (/ (* 1.0 (acos (* (* (/ (/ x z) y) 0.05555555555555555) (sqrt t)))) (sqrt 3.0)))
0.0ms
(/ 1 (sqrt 3.0))
131.0ms
(* (* (/ (/ x z) y) 0.05555555555555555) (sqrt t))
38.0ms
(/ (/ x z) y)

simplify504.0ms

Counts
218 → 218
Iterations
IterNodes
done5000
11036
0371

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ x (* 27.0 y)) 3.0)
1.0b
(* (* (/ (/ 1 (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))) (/ 1 (cbrt (sqrt 3.0)))) (/ (* 1.0 (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t)))) (sqrt 3.0)))
2.6b
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
4.9b
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

rewrite469.0ms

Algorithm
rewrite-expression-head
Rules
411×add-exp-log
181×prod-exp
170×div-exp
168×add-cbrt-cube
83×cbrt-unprod
67×cbrt-undiv
27×rec-exp 1-exp
19×add-sqr-sqrt associate-*r*
13×pow1 *-un-lft-identity associate-*l* add-cube-cbrt
11×times-frac
9×associate-*l/
7×sqrt-prod
6×frac-times
5×pow-prod-down
4×div-inv add-log-exp
3×associate-*r/ *-commutative unswap-sqr
2×un-div-inv
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
4 → 212
Calls
4 calls:
37.0ms
(* (/ x (* 27.0 y)) 3.0)
257.0ms
(* (* (/ (/ 1 (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))) (/ 1 (cbrt (sqrt 3.0)))) (/ (* 1.0 (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t)))) (sqrt 3.0)))
131.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
21.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

series402.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (/ x (* 27.0 y)) 3.0)
193.0ms
(* (* (/ (/ 1 (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))) (/ 1 (cbrt (sqrt 3.0)))) (/ (* 1.0 (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t)))) (sqrt 3.0)))
141.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
34.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

simplify872.0ms

Counts
224 → 224
Iterations
IterNodes
done5000
11470
0398

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.6s23982×body80nan
1.8s8000×body80valid