Details

Time bar (total: 18.6s)

sample61.0ms

Algorithm
intervals
Results
39.0ms386×body80valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
0815
11614
23311
3568
4748
5808
done808

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma y x (* 3 (* z z)))
31.0ms
(* 3 (* z z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(fma y x (* 3 (* z z)))
28.0ms
(* 3 (* z z))

simplify3.2s

Counts
37 → 37
Iterations

Useful iterations: 3 (234.0ms)

IterNodesCost
051312
1102296
2246260
3603254
41323254
done5000254

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma y x (* (* 3 z) z))
33.0ms
(* (* 3 z) z)

series95.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(fma y x (* (* 3 z) z))
27.0ms
(* (* 3 z) z)

simplify3.5s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053307
1116291
2374253
3854247
41752246
done5000246

prune104.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.2b
(* (cbrt 3) (* z z))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×cbrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
106.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
32.0ms
(* (cbrt 3) (* z z))

series325.0ms

Counts
3 → 9
Calls
3 calls:
176.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
99.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
50.0ms
(* (cbrt 3) (* z z))

simplify6.5s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
085954
1182923
2619629
32114487
done5000487

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (sqrt 3)) z)
0.1b
(* (cbrt (sqrt 3)) z)
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
0.3b
(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
156×pow1
81×pow-prod-down
61×add-exp-log
41×prod-exp cbrt-unprod
37×add-cbrt-cube
24×add-sqr-sqrt
20×associate-*l*
18×pow-prod-up
16×cbrt-prod
12×add-cube-cbrt *-un-lft-identity pow-plus pow-sqr
8×associate-*r* sqrt-prod
7×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×pow2
1×swap-sqr
Counts
4 → 152
Calls
4 calls:
12.0ms
(* (cbrt (sqrt 3)) z)
22.0ms
(* (cbrt (sqrt 3)) z)
165.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
77.0ms
(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

series1.8s

Counts
4 → 12
Calls
4 calls:
504.0ms
(* (cbrt (sqrt 3)) z)
400.0ms
(* (cbrt (sqrt 3)) z)
499.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
445.0ms
(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

simplify1.5s

Counts
164 → 164
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01132087
12731884
212291384
done50011308

prune394.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes1.0ms