Details

Time bar (total: 54.9s)

sample238.0ms

Algorithm
intervals
Results
132.0ms802×body80nan
32.0ms256×body80valid

simplify14.2s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize92.0ms

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))

rewrite503.0ms

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:
12.0ms
(/ x (* y 27.0))
66.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
317.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
91.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series672.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ x (* y 27.0))
49.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
389.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
115.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify6.7s

Counts
144 → 144
Iterations
IterNodes
done5003
23137
1715
0256

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

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))

rewrite303.0ms

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:
52.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(/ 1.0 (cbrt 3.0))
163.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
59.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series718.0ms

Counts
4 → 10
Calls
4 calls:
463.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
185.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
70.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify5.5s

Counts
170 → 170
Iterations
IterNodes
done5002
23241
1762
0277

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.8b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.0b
(/ x (* z y))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 136
Calls
4 calls:
39.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
10.0ms
(/ 1.0 (cbrt 3.0))
117.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
16.0ms
(/ x (* z y))

series389.0ms

Counts
4 → 10
Calls
4 calls:
153.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
189.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
46.0ms
(/ x (* z y))

simplify2.9s

Counts
146 → 146
Iterations
IterNodes
done5004
21868
1563
0234

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize170.0ms

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))

rewrite423.0ms

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:
159.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
50.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
49.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series375.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
60.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
70.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
55.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify3.3s

Counts
151 → 151
Iterations
IterNodes
done5161
22599
1519
0164

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.2s

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
done27
127
020

end0.0ms

sample10.2s

Algorithm
intervals
Results
6.5s23727×body80nan
2.0s8000×body80valid