Details

Time bar (total: 20.3s)

sample138.0ms

Algorithm
intervals
Results
63.0ms663×body80nan
19.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
350019
4229519
done500119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize17.0ms

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))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
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-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
77.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series176.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
24.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
97.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.3s

Counts
142 → 142
Iterations

Useful iterations: 2 (635.0ms)

IterNodesCost
02522762
17472641
247062097
done50002097

prune399.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
19.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
6.0ms
(/ 1.0 (cbrt 3.0))
76.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
44.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series240.0ms

Counts
4 → 10
Calls
4 calls:
103.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
103.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.0s

Counts
162 → 162
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02693119
17682985
245302483
done50012435

prune665.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
0.1b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(* (sqrt t) (/ x (* z y)))
5.7b
(/ x (* z y))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-cbrt-cube
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
24×times-frac
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp associate-/r*
6×associate-/l*
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 115
Calls
4 calls:
15.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
62.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
47.0ms
(* (sqrt t) (/ x (* z y)))
13.0ms
(/ x (* z y))

series266.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
91.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
93.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify1.1s

Counts
127 → 127
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02112098
15042022
222181806
done50011788

prune511.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt (cbrt 3.0)))
3.4b
(* (sqrt t) (/ x (* z y)))
5.7b
(/ x (* z y))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
34×add-exp-log add-cbrt-cube
33×add-cube-cbrt *-un-lft-identity times-frac
28×sqrt-prod
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
10×associate-/r*
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp
6×associate-/l*
4×pow-prod-down add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 127
Calls
4 calls:
68.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
16.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt (cbrt 3.0)))
38.0ms
(* (sqrt t) (/ x (* z y)))
10.0ms
(/ x (* z y))

series490.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
215.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt (cbrt 3.0)))
107.0ms
(* (sqrt t) (/ x (* z y)))
30.0ms
(/ x (* z y))

simplify1.7s

Counts
139 → 139
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02372540
15412427
224202206
done50002188

prune491.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes372.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02328
13128
done3128

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.0s24490×body80nan
809.0ms8000×body80valid