Details

Time bar (total: 25.5s)

sample136.0ms

Algorithm
intervals
Results
63.0ms638×body80nan
23.0ms256×body80valid

simplify4.9s

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: 1.0b

localize49.0ms

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))

rewrite131.0ms

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:
6.0ms
(/ x (* y 27.0))
11.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
88.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series599.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x (* y 27.0))
37.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
142.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
383.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
144 → 144
Iterations
IterNodes
done5386
23169
1715
0256

prune916.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize37.0ms

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))

rewrite136.0ms

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:
21.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
75.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series287.0ms

Counts
4 → 10
Calls
4 calls:
118.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
128.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.6s

Counts
170 → 170
Iterations
IterNodes
done5671
23235
1762
0277

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (/ (* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t)) 2.0)) (cbrt 3.0))
0.6b
(/ (* 3.0 x) (* y 27.0))
3.6b
(* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t))
3.6b
(/ (/ (* 3.0 x) (* y 27.0)) z)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
60×add-cbrt-cube
58×times-frac
50×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
23×cbrt-undiv div-exp
19×associate-*l*
18×prod-exp cbrt-unprod
12×cbrt-prod
11×div-inv
10×associate-/r*
9×associate-/l*
6×pow1 associate-*r*
5×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×clear-num frac-2neg
1×acos-asin div-sub pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 164
Calls
4 calls:
11.0ms
(/ (acos (/ (* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t)) 2.0)) (cbrt 3.0))
10.0ms
(/ (* 3.0 x) (* y 27.0))
56.0ms
(* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t))
20.0ms
(/ (/ (* 3.0 x) (* y 27.0)) z)

series321.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (acos (/ (* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t)) 2.0)) (cbrt 3.0))
40.0ms
(/ (* 3.0 x) (* y 27.0))
159.0ms
(* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t))
39.0ms
(/ (/ (* 3.0 x) (* y 27.0)) z)

simplify1.5s

Counts
176 → 176
Iterations
IterNodes
done5011
22683
1705
0282

prune1.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (asin (/ (* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t)) 2.0)) (cbrt 3.0))
0.6b
(/ (* 3.0 x) (* y 27.0))
3.6b
(* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t))
3.6b
(/ (/ (* 3.0 x) (* y 27.0)) z)

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
60×add-cbrt-cube
58×times-frac
50×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
23×cbrt-undiv div-exp
19×associate-*l*
18×prod-exp cbrt-unprod
12×cbrt-prod
11×div-inv
10×associate-/r*
9×associate-/l*
6×pow1 associate-*r*
5×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×clear-num frac-2neg
1×asin-acos div-sub pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 164
Calls
4 calls:
14.0ms
(/ (asin (/ (* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t)) 2.0)) (cbrt 3.0))
19.0ms
(/ (* 3.0 x) (* y 27.0))
71.0ms
(* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t))
39.0ms
(/ (/ (* 3.0 x) (* y 27.0)) z)

series330.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (asin (/ (* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t)) 2.0)) (cbrt 3.0))
38.0ms
(/ (* 3.0 x) (* y 27.0))
171.0ms
(* (/ (/ (* 3.0 x) (* y 27.0)) z) (sqrt t))
38.0ms
(/ (/ (* 3.0 x) (* y 27.0)) z)

simplify1.4s

Counts
176 → 176
Iterations
IterNodes
done5011
22683
1705
0282

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify11.0ms

Iterations
IterNodes
done35
135
028

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.3s23590×body80nan
974.0ms8000×body80valid