Details

Time bar (total: 28.7s)

sample27.0ms

Algorithm
intervals
Results
13.0ms320×body80valid

simplify10.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
089
1159
2328
3738
41488
52108
62458
72858
83398
94828
106088
117228
128578
139428
149618
1510118
1611558
1712608
1814868
1916228
2018058
2118158
2218178
done18178

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (* 6.0 z) x)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (- y x) (* 6.0 z) x)

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
023154
144151
2108135
3325123
41429123
done5000123

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u fma-def log1p-expm1-u
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
7.0ms
(+ x (* (* (- y x) 6.0) z))
28.0ms
(* (- y x) 6.0)
80.0ms
(* (* (- y x) 6.0) z)

series178.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(+ x (* (* (- y x) 6.0) z))
33.0ms
(* (- y x) 6.0)
60.0ms
(* (* (- y x) 6.0) z)

simplify4.3s

Counts
71 → 71
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
0104692
1258647
2960553
34907553
done5000553

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
2.6b
(cbrt (* (* (- y x) 6.0) z))
2.6b
(cbrt (* (* (- y x) 6.0) z))
2.6b
(cbrt (* (* (- y x) 6.0) z))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
associate-*r/ pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
63.0ms
(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
38.0ms
(cbrt (* (* (- y x) 6.0) z))
46.0ms
(cbrt (* (* (- y x) 6.0) z))
35.0ms
(cbrt (* (* (- y x) 6.0) z))

series1.1s

Counts
4 → 12
Calls
4 calls:
350.0ms
(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
258.0ms
(cbrt (* (* (- y x) 6.0) z))
280.0ms
(cbrt (* (* (- y x) 6.0) z))
252.0ms
(cbrt (* (* (- y x) 6.0) z))

simplify2.8s

Counts
92 → 92
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01661700
13931570
210951445
334841297
done50001218

prune389.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
322.0ms
(* (cbrt z) (cbrt z))
270.0ms
(cbrt z)
292.0ms
(cbrt z)
314.0ms
(cbrt z)

simplify5.5s

Counts
93 → 93
Iterations

Useful iterations: done (5.5s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune300.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes1.0ms