Details

Time bar (total: 22.8s)

sample186.0ms

Algorithm
intervals
Results
93.0ms745×body80nan
22.0ms256×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 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))
4.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite201.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 132
Calls
4 calls:
9.0ms
(/ x (* y 27.0))
24.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
119.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series210.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ x (* y 27.0))
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
121.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
144 → 144
Iterations

Useful iterations: 2 (700.0ms)

IterNodesCost
02562759
16862643
230122051
done50002051

prune491.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
45.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (cbrt 1.0) (cbrt 3.0))
126.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
38.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series376.0ms

Counts
4 → 10
Calls
4 calls:
180.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
154.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
42.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.8s

Counts
211 → 211
Iterations

Useful iterations: 2 (677.0ms)

IterNodesCost
03074109
17643954
230983382
done50013382

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.6b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
4.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
101×add-cbrt-cube
82×cbrt-prod
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
55×prod-exp cbrt-unprod
45×associate-*l*
22×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 208
Calls
4 calls:
36.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
8.0ms
(/ (cbrt 1.0) (cbrt 3.0))
149.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
51.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series344.0ms

Counts
4 → 10
Calls
4 calls:
156.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
137.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
51.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify2.3s

Counts
218 → 218
Iterations

Useful iterations: 2 (865.0ms)

IterNodesCost
03144316
17824137
236293473
done50013473

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02433
13133
done3133

end0.0ms

sample6.2s

Algorithm
intervals
Results
3.5s23662×body80nan
892.0ms8000×body80valid