Details

Time bar (total: 20.6s)

sample130.0ms

Algorithm
intervals
Results
61.0ms719×body80nan
18.0ms256×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
78.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series192.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ x (* y 27.0))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
116.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts
136 → 136
Iterations

Useful iterations: 2 (500.0ms)

IterNodesCost
02482653
16762537
230051945
done50001945

prune398.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))
4.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
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×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
22.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
10.0ms
(/ 1.0 (cbrt 3.0))
111.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series251.0ms

Counts
4 → 10
Calls
4 calls:
100.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
117.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts
162 → 162
Iterations

Useful iterations: 2 (549.0ms)

IterNodesCost
02693119
17092985
230602415
done50012415

prune648.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

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))))
3.4b
(/ x (* z y))
4.5b
(* (sqrt t) (/ x (* z y)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-cbrt-cube
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
24×times-frac
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp associate-/r*
6×associate-/l*
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 115
Calls
4 calls:
17.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
77.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
10.0ms
(/ x (* z y))
42.0ms
(* (sqrt t) (/ x (* z y)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
95.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
31.0ms
(/ x (* z y))
106.0ms
(* (sqrt t) (/ x (* z y)))

simplify1.3s

Counts
127 → 127
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02112098
14832008
217261788
done50001760

prune465.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0b
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
3.4b
(/ x (* z y))
4.5b
(* (sqrt t) (/ x (* z y)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
13×prod-exp cbrt-unprod
12×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
5×add-log-exp
4×pow-prod-down sqrt-prod
3×log-prod associate-*r/ log-pow associate-/l*
2×*-commutative div-inv unswap-sqr
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r*
Counts
4 → 89
Calls
4 calls:
49.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
5.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
8.0ms
(/ x (* z y))
26.0ms
(* (sqrt t) (/ x (* z y)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
110.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
24.0ms
(/ x (* z y))
81.0ms
(* (sqrt t) (/ x (* z y)))

simplify1.1s

Counts
101 → 101
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01581388
13971281
215521078
done50001036

prune427.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02226
12926
done2926

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.8s24082×body80nan
1.1s8000×body80valid