Details

Time bar (total: 24.9s)

sample115.0ms

Algorithm
intervals
Results
49.0ms682×body80nan
20.0ms256×body80valid

simplify3.4s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 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))
4.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
88×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×*-un-lft-identity add-cube-cbrt
15×times-frac
9×associate-*r*
8×pow1
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
2×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 132
Calls
4 calls:
7.0ms
(/ x (* y 27.0))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
79.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series320.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ x (* y 27.0))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
205.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.4s

Counts
144 → 144
Iterations
IterNodes
done5000
24393
1735
0256

prune753.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity add-cube-cbrt
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×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
2×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 160
Calls
4 calls:
17.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
62.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series223.0ms

Counts
4 → 10
Calls
4 calls:
82.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.9s

Counts
170 → 170
Iterations
IterNodes
done5001
24548
1782
0277

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.4b
(* (/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0)) (sqrt t))
4.6b
(/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
92×add-cbrt-cube
48×add-sqr-sqrt
42×prod-exp cbrt-unprod
40×times-frac
36×*-un-lft-identity add-cube-cbrt
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
3×associate-*l/
2×clear-num frac-2neg pow-prod-down *-commutative
1×associate-/l/
Counts
4 → 164
Calls
4 calls:
25.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0)) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
123.0ms
(* (/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0)) (sqrt t))
39.0ms
(/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0))

series274.0ms

Counts
4 → 10
Calls
4 calls:
113.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
120.0ms
(* (/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0)) (sqrt t))
41.0ms
(/ (* (/ 3.0 z) x) (* (* y 27.0) 2.0))

simplify2.7s

Counts
174 → 174
Iterations
IterNodes
done5000
24831
1800
0281

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.4b
(* (sqrt t) (/ x (* z y)))
6.4b
(/ x (* z y))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 *-un-lft-identity add-cube-cbrt
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×clear-num associate-/r* frac-2neg
Counts
4 → 101
Calls
4 calls:
6.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
46.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
22.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series256.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
102.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
100.0ms
(* (sqrt t) (/ x (* z y)))
29.0ms
(/ x (* z y))

simplify1.6s

Counts
113 → 113
Iterations
IterNodes
done5000
22056
1460
0175

prune686.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes340.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.1s23868×body80nan
1.2s8000×body80valid