Details

Time bar (total: 23.9s)

sample189.0ms

Algorithm
intervals
Results
73.0ms708×body80nan
60.0ms256×body80valid

simplify5.6s

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: 1.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite173.0ms

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))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
92.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
42.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series253.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ x (* y 27.0))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
152.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
52.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.5s

Counts
136 → 136
Iterations
IterNodes
done5030
23122
1705
0248

prune818.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

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))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite170.0ms

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:
29.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ 1.0 (cbrt 3.0))
86.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series289.0ms

Counts
4 → 10
Calls
4 calls:
114.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
136.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
162 → 162
Iterations
IterNodes
done5051
23175
1750
0269

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

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))))
2.7b
(* (sqrt t) (/ x (* z y)))
6.7b
(/ x (* z y))

rewrite87.0ms

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 add-log-exp
3×associate-*r/ div-inv
2×clear-num frac-2neg *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 115
Calls
4 calls:
9.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
43.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
19.0ms
(* (sqrt t) (/ x (* z y)))
12.0ms
(/ x (* z y))

series286.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
102.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
90.0ms
(* (sqrt t) (/ x (* z y)))
27.0ms
(/ x (* z y))

simplify1.5s

Counts
127 → 127
Iterations
IterNodes
done5001
21612
1494
0208

prune753.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (sqrt t) (/ x (* z y)))
6.7b
(/ x (* z y))
6.7b
(/ x (* z y))
6.7b
(/ x (* z y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
18×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
12×times-frac
9×associate-/l*
8×cbrt-undiv div-exp
7×associate-*r* prod-exp cbrt-unprod
6×pow1 associate-*l*
4×sqrt-prod div-inv add-log-exp
3×clear-num associate-/r* frac-2neg
2×unswap-sqr
1×pow-prod-down associate-*r/ *-commutative
Counts
4 → 94
Calls
4 calls:
27.0ms
(* (sqrt t) (/ x (* z y)))
11.0ms
(/ x (* z y))
9.0ms
(/ x (* z y))
9.0ms
(/ x (* z y))

series170.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (sqrt t) (/ x (* z y)))
31.0ms
(/ x (* z y))
29.0ms
(/ x (* z y))
26.0ms
(/ x (* z y))

simplify1.2s

Counts
106 → 106
Iterations
IterNodes
done5002
21114
1312
0112

prune912.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes697.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s23688×body80nan
710.0ms8000×body80valid