Details

Time bar (total: 31.2s)

sample293.0ms

Algorithm
intervals
Results
151.0ms734×body80nan
87.0ms256×body80valid

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
done5001
41551
3412
2119
138
018

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×*-un-lft-identity add-cube-cbrt
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
4 → 142
Calls
4 calls:
17.0ms
(* 3.0 (/ x (* y 27.0)))
10.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
59.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
20.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series259.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
165.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.2s

Counts
154 → 154
Iterations
IterNodes
done5380
23288
1742
0264

prune700.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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))
2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite158.0ms

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 insert-posit16 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 → 164
Calls
4 calls:
15.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
44.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series328.0ms

Counts
4 → 10
Calls
4 calls:
153.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
130.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
44.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.4s

Counts
174 → 174
Iterations
IterNodes
done5504
23263
1766
0281

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

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))
2.2b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
2.4b
(/ x (* z y))

rewrite121.0ms

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×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×clear-num frac-2neg associate-*l/ *-commutative
1×associate-*r/
Counts
4 → 140
Calls
4 calls:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
6.0ms
(/ 1.0 (cbrt 3.0))
91.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
10.0ms
(/ x (* z y))

series351.0ms

Counts
4 → 10
Calls
4 calls:
155.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
167.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
29.0ms
(/ x (* z y))

simplify2.2s

Counts
150 → 150
Iterations
IterNodes
done5000
21925
1573
0238

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize95.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
142×add-cbrt-cube add-exp-log
57×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
11×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×pow1 associate-*r*
5×associate-*l*
4×expm1-log1p-u times-frac sqrt-prod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×clear-num associate-/r* frac-2neg associate-*r/ associate-/l* associate-/l/
2×unswap-sqr
1×pow-prod-down associate-*l/ *-commutative
Counts
4 → 143
Calls
4 calls:
81.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series360.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
67.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
59.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
59.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
155 → 155
Iterations
IterNodes
done5008
22550
1522
0166

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes660.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample9.7s

Algorithm
intervals
Results
6.0s23806×body80nan
1.9s8000×body80valid