Details

Time bar (total: 20.3s)

sample205.0ms

Algorithm
intervals
Results
88.0ms739×body80nan
32.0ms256×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 138
Calls
4 calls:
23.0ms
(* 3.0 (/ x (* y 27.0)))
30.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
126.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series667.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
587.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
150 → 150
Iterations

Useful iterations: 2 (605.0ms)

IterNodesCost
02602872
17042749
230682131
done50012131

prune534.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize58.0ms

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))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite285.0ms

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×expm1-log1p-u 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:
56.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
16.0ms
(/ (sqrt 1.0) (cbrt 3.0))
147.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
49.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series345.0ms

Counts
4 → 10
Calls
4 calls:
165.0ms
(* (/ (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))
129.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
50.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
211 → 211
Iterations

Useful iterations: 2 (826.0ms)

IterNodesCost
03034123
17583942
231863370
done50003370

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (sqrt 1.0) (cbrt 3.0))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
80×add-cbrt-cube
74×times-frac
67×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
46×sqrt-prod
42×cbrt-prod
33×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
13×associate-/r* associate-/l*
6×pow1 associate-*r*
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg clear-num
2×unswap-sqr
1×associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 199
Calls
4 calls:
10.0ms
(/ (sqrt 1.0) (cbrt 3.0))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series172.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
119.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
53.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
207 → 207
Iterations

Useful iterations: 2 (570.0ms)

IterNodesCost
02543133
16212897
226852431
done50012431

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
2.1b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log add-cbrt-cube
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×times-frac
10×associate-*r* pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 140
Calls
4 calls:
49.0ms
(* (* z 2.0) (* y 27.0))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
145.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
49.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* z 2.0) (* y 27.0))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
133.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
44.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify2.2s

Counts
152 → 152
Iterations

Useful iterations: 2 (775.0ms)

IterNodesCost
02493064
16862919
235162195
done50022195

prune516.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes2.0ms