Details

Time bar (total: 29.7s)

sample283.0ms

Algorithm
intervals
Results
184.0ms894×body80nan
47.0ms256×body80valid

simplify5.2s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite143.0ms

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 insert-posit16 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 → 136
Calls
4 calls:
12.0ms
(/ x (* y 27.0))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
81.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series240.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x (* y 27.0))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
143.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.0s

Counts
148 → 148
Iterations
IterNodes
done5765
23199
1720
0260

prune688.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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))
3.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite121.0ms

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:
18.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ 1.0 (cbrt 3.0))
69.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series329.0ms

Counts
4 → 10
Calls
4 calls:
104.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
167.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
58.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.2s

Counts
174 → 174
Iterations
IterNodes
done5504
23263
1766
0281

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

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))))
3.8b
(* (sqrt t) (/ x (* z y)))
4.7b
(/ x (* z y))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-cbrt-cube
30×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
24×times-frac
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv associate-/r* div-exp
6×associate-/l*
4×expm1-log1p-u pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r/ div-inv
2×clear-num frac-2neg *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 127
Calls
4 calls:
18.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
55.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
29.0ms
(* (sqrt t) (/ x (* z y)))
14.0ms
(/ x (* z y))

series329.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
97.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
114.0ms
(* (sqrt t) (/ x (* z y)))
28.0ms
(/ x (* z y))

simplify2.1s

Counts
139 → 139
Iterations
IterNodes
done5000
21614
1509
0220

prune968.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.8b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.0b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
115×add-cbrt-cube add-exp-log
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×*-un-lft-identity add-cube-cbrt
12×times-frac
10×associate-*r* pow-prod-down
4×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 144
Calls
4 calls:
26.0ms
(* (* z 2.0) (* y 27.0))
10.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
84.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
41.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* z 2.0) (* y 27.0))
31.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
148.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
42.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify2.8s

Counts
156 → 156
Iterations
IterNodes
done5127
23635
1713
0253

prune675.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes815.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample9.0s

Algorithm
intervals
Results
5.7s24380×body80nan
1.9s8000×body80valid