Details

Time bar (total: 23.1s)

sample110.0ms

Algorithm
intervals
Results
45.0ms682×body80nan
21.0ms256×body80valid

simplify4.0s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize30.0ms

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))

rewrite168.0ms

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×sqrt-prod 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 → 124
Calls
4 calls:
12.0ms
(/ x (* y 27.0))
24.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
86.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series251.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (* y 27.0))
26.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
148.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
55.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.4s

Counts
136 → 136
Iterations
IterNodes
done5001
24369
1723
0248

prune817.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

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))

rewrite195.0ms

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×sqrt-prod 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 → 152
Calls
4 calls:
31.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ 1.0 (cbrt 3.0))
109.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series287.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
141.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.6s

Counts
162 → 162
Iterations
IterNodes
done5000
24535
1768
0269

prune907.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

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))
2.4b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.4b
(/ x (* z y))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×*-un-lft-identity add-cube-cbrt
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×pow-prod-down add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×clear-num frac-2neg associate-*l/ *-commutative
1×associate-*r/
Counts
4 → 128
Calls
4 calls:
31.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
61.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
7.0ms
(/ x (* z y))

series292.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
152.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
27.0ms
(/ x (* z y))

simplify1.4s

Counts
138 → 138
Iterations
IterNodes
done5001
22646
1561
0226

prune934.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

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))

rewrite432.0ms

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×sqrt-prod add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×clear-num associate-/r* frac-2neg
Counts
4 → 93
Calls
4 calls:
6.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
373.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
38.0ms
(* (sqrt t) (/ x (* z y)))
12.0ms
(/ x (* z y))

series258.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
96.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
104.0ms
(* (sqrt t) (/ x (* z y)))
30.0ms
(/ x (* z y))

simplify1.5s

Counts
105 → 105
Iterations
IterNodes
done5000
22053
1449
0167

prune423.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes751.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.0s23868×body80nan
880.0ms8000×body80valid