Details

Time bar (total: 50.7s)

sample243.0ms

Algorithm
intervals
Results
82.0ms802×body80nan
28.0ms256×body80valid

simplify11.4s

Counts
1 → 1
Iterations
IterNodes
done5001
41531
3410
2119
138
018

prune63.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize248.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite624.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
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×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 132
Calls
4 calls:
37.0ms
(/ x (* y 27.0))
38.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
366.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
133.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series778.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (* y 27.0))
86.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
489.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
155.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify5.1s

Counts
144 → 144
Iterations
IterNodes
done5003
23137
1715
0256

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize92.0ms

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))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite267.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 160
Calls
4 calls:
41.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(/ 1.0 (cbrt 3.0))
155.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
43.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series429.0ms

Counts
4 → 10
Calls
4 calls:
163.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
209.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
57.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify4.3s

Counts
170 → 170
Iterations
IterNodes
done5002
23241
1762
0277

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.7b
(* (sqrt t) (/ x (* z y)))
6.0b
(/ x (* z y))

rewrite205.0ms

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×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 123
Calls
4 calls:
24.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
103.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
53.0ms
(* (sqrt t) (/ x (* z y)))
17.0ms
(/ x (* z y))

series445.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
143.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
141.0ms
(* (sqrt t) (/ x (* z y)))
41.0ms
(/ x (* z y))

simplify4.2s

Counts
135 → 135
Iterations
IterNodes
done5006
21651
1517
0219

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize153.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
142×add-exp-log add-cbrt-cube
57×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
11×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 associate-*r*
5×associate-*l*
4×expm1-log1p-u times-frac sqrt-prod log1p-expm1-u div-inv add-log-exp
3×frac-2neg associate-*r/ clear-num associate-/r* associate-/l/ associate-/l*
2×unswap-sqr
1×pow-prod-down associate-*l/ *-commutative
Counts
4 → 139
Calls
4 calls:
145.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
45.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series355.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
62.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify3.1s

Counts
151 → 151
Iterations
IterNodes
done5161
22599
1519
0164

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample9.5s

Algorithm
intervals
Results
4.7s23727×body80nan
3.1s8000×body80valid