Details

Time bar (total: 20.7s)

sample132.0ms

Algorithm
intervals
Results
50.0ms638×body80nan
34.0ms256×body80valid

simplify3.7s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize38.0ms

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))))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite126.0ms

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))
12.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
73.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series225.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ x (* y 27.0))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
117.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
55.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
144 → 144
Iterations
IterNodes
done5000
24393
1735
0256

prune878.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

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))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite117.0ms

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:
18.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
66.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series246.0ms

Counts
4 → 10
Calls
4 calls:
99.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
114.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.3s

Counts
170 → 170
Iterations
IterNodes
done5001
24548
1782
0277

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b
(log1p (* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
83×add-cbrt-cube add-exp-log
35×prod-exp cbrt-unprod
25×cbrt-undiv div-exp
24×add-sqr-sqrt
18×associate-*l*
15×*-un-lft-identity add-cube-cbrt
12×times-frac
9×associate-*r*
8×pow1
5×expm1-log1p-u
4×sqrt-prod log1p-expm1-u add-log-exp unswap-sqr
3×div-inv
2×pow-prod-down associate-*l/ *-commutative
1×log1p-udef clear-num associate-/r* frac-2neg log1p-expm1 associate-*r/ associate-/l* associate-/l/
Counts
4 → 120
Calls
4 calls:
0.0ms
(log1p (* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))))
13.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
60.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series253.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(log1p (* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
126.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
42.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.2s

Counts
132 → 132
Iterations
IterNodes
done5000
24420
1718
0244

prune801.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes756.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.4s23590×body80nan
1.8s8000×body80valid