Details

Time bar (total: 13.0s)

sample67.0ms

Algorithm
intervals
Results
21.0ms321×body80nan
16.0ms276×body80valid

simplify522.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01010
12110
2519
3859
41219
51409
61579
71739
81759
done1759

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×fma-def associate-*l*
2×expm1-log1p-u log1p-expm1-u unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 40
Calls
2 calls:
6.0ms
(+ x (* y (sqrt z)))
15.0ms
(* y (sqrt z))

series108.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ x (* y (sqrt z)))
54.0ms
(* y (sqrt z))

simplify2.3s

Counts
46 → 46
Iterations

Useful iterations: done (2.3s)

IterNodesCost
090386
1232346
2601309
31606300
done5001295

prune205.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
1.0ms
(fma (sqrt z) y x)

series85.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(fma (sqrt z) y x)

simplify3.1s

Counts
13 → 13
Iterations

Useful iterations: 5 (1.5s)

IterNodesCost
031116
171113
217197
339495
4101695
5292492
done500192

prune59.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
Calls
4 calls:
8.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt z))
18.0ms
(* y (sqrt (sqrt z)))
49.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(sqrt (sqrt z))
164.0ms
(sqrt (sqrt z))
108.0ms
(* y (sqrt (sqrt z)))
59.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.7s

Counts
108 → 108
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0138963
1354754
21001688
32818672
done5001664

prune319.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
0.4b
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log sqrt-prod add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
Counts
4 → 81
Calls
4 calls:
44.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
157.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series895.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
300.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
198.0ms
(cbrt z)
207.0ms
(cbrt z)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01811345
14541177
216351059
done50001023

prune337.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes2.0ms