Details

Time bar (total: 11.2s)

sample167.0ms

Algorithm
intervals
Results
74.0ms719×body80nan
23.0ms256×body80valid

simplify47.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize24.0ms

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))

rewrite212.0ms

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:
12.0ms
(/ x (* y 27.0))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
109.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
59.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series250.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ x (* y 27.0))
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
149.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify126.0ms

Counts
136 → 136

prune385.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 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))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
39.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
11.0ms
(/ (sqrt 1.0) (cbrt 3.0))
92.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series316.0ms

Counts
4 → 10
Calls
4 calls:
144.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
128.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
43.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify111.0ms

Counts
203 → 203

prune920.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
0.2b
(* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))
3.4b
(/ x (* z y))
4.5b
(* (sqrt t) (/ x (* z y)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
53×add-cbrt-cube
25×add-sqr-sqrt
22×prod-exp cbrt-unprod
21×add-cube-cbrt *-un-lft-identity times-frac
19×associate-*l*
14×cbrt-undiv div-exp
11×pow1
8×associate-*r*
7×associate-/r*
6×cbrt-prod
4×associate-*r/ pow-prod-down sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times associate-*l/
Counts
4 → 122
Calls
4 calls:
17.0ms
(/ (* (acos (* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
72.0ms
(* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))
11.0ms
(/ x (* z y))
35.0ms
(* (sqrt t) (/ x (* z y)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(/ (* (acos (* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
111.0ms
(* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))
28.0ms
(/ x (* z y))
104.0ms
(* (sqrt t) (/ x (* z y)))

simplify87.0ms

Counts
134 → 134

prune570.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))
3.0b
(log (exp (* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))))
3.4b
(/ x (* z y))
4.5b
(* (sqrt t) (/ x (* z y)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
21×prod-exp cbrt-unprod
19×associate-*l*
18×add-cube-cbrt *-un-lft-identity
15×times-frac
12×pow1 cbrt-undiv div-exp
8×associate-*r*
5×add-log-exp
4×associate-*r/ pow-prod-down sqrt-prod
3×log-prod log-pow div-inv associate-/l*
2×*-commutative unswap-sqr
1×frac-times exp-prod exp-to-pow frac-2neg rem-log-exp associate-*l/ clear-num associate-/r*
Counts
4 → 109
Calls
4 calls:
94.0ms
(* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))
8.0ms
(log (exp (* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))))
12.0ms
(/ x (* z y))
39.0ms
(* (sqrt t) (/ x (* z y)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))
397.0ms
(log (exp (* (/ 2001599834386887.0 3.602879701896397e+16) (* (sqrt t) (/ x (* z y))))))
30.0ms
(/ x (* z y))
98.0ms
(* (sqrt t) (/ x (* z y)))

simplify65.0ms

Counts
121 → 121

prune596.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify69.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.2s24082×body80nan
773.0ms8000×body80valid