Details

Time bar (total: 21.2s)

sample174.0ms

Algorithm
intervals
Results
100.0ms894×body80nan
24.0ms256×body80valid

simplify4.5s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize32.0ms

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))

rewrite101.0ms

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 insert-posit16 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 → 128
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
11.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
57.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series210.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ x (* y 27.0))
23.0ms
(* (/ 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))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.6s

Counts
140 → 140
Iterations
IterNodes
done5015
23122
1698
0252

prune630.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

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))

rewrite132.0ms

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 insert-posit16 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 → 156
Calls
4 calls:
12.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
6.0ms
(/ 1.0 (cbrt 3.0))
85.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series260.0ms

Counts
4 → 10
Calls
4 calls:
96.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
125.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
166 → 166
Iterations
IterNodes
done5073
23204
1745
0273

prune771.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

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))

rewrite92.0ms

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×pow-prod-down sqrt-prod insert-posit16 add-log-exp
3×associate-*r/ div-inv
2×clear-num frac-2neg *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 119
Calls
4 calls:
10.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
44.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
27.0ms
(* (sqrt t) (/ x (* z y)))
10.0ms
(/ x (* z y))

series268.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
92.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
78.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify1.6s

Counts
131 → 131
Iterations
IterNodes
done5007
21608
1495
0212

prune722.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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)))

rewrite181.0ms

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×sqrt-prod insert-posit16 add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 136
Calls
4 calls:
26.0ms
(* (* z 2.0) (* y 27.0))
13.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
101.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
37.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* z 2.0) (* y 27.0))
24.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
123.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
32.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify1.7s

Counts
148 → 148
Iterations
IterNodes
done5000
23563
1700
0245

prune521.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes685.0ms

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

sample5.0s

Algorithm
intervals
Results
3.3s24380×body80nan
700.0ms8000×body80valid