Details

Time bar (total: 17.0s)

sample62.0ms

Algorithm
intervals
Results
42.0ms650×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2307
3747
42137
56587
631717
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow x 4.0) (pow y 4.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
53×unpow-prod-down
49×prod-diff
43×add-sqr-sqrt
35×*-un-lft-identity
31×add-cube-cbrt
21×sqr-pow
9×difference-of-squares
7×fma-neg
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 81
Calls
1 calls:
23.0ms
(- (pow x 4.0) (pow y 4.0))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(- (pow x 4.0) (pow y 4.0))

simplify3.4s

Counts
84 → 84
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01522374
13131687
27141361
330111158
done5000934

prune199.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x 4.0) (pow y 4.0))
0.1b
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
101×unpow-prod-down
94×sqrt-prod
78×*-un-lft-identity
63×difference-of-squares
57×sqr-pow
49×prod-diff
44×add-cube-cbrt
21×pow1 swap-sqr
17×associate-*r* associate-*l*
16×sqrt-div distribute-lft-out--
10×sqrt-pow1 pow1/2
9×flip3-- flip--
7×fma-neg
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 231
Calls
4 calls:
27.0ms
(- (pow x 4.0) (pow y 4.0))
151.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
40.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
55.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (pow x 4.0) (pow y 4.0))
95.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
92.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
83.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

simplify3.7s

Counts
243 → 243
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02775604
14903957
212613537
343473295
done50003295

prune900.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.7b
(sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
74×sqrt-prod
62×add-sqr-sqrt
36×difference-of-squares
32×unpow-prod-down
25×*-un-lft-identity
24×sqr-pow
10×sqrt-div
9×pow1 add-cube-cbrt
8×distribute-lft-out--
7×sqrt-pow1
5×rem-sqrt-square pow1/2
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 118
Calls
4 calls:
26.0ms
(sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))
63.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
41.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
65.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))
95.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
74.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
83.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

simplify3.7s

Counts
130 → 130
Iterations

Useful iterations: 3 (309.0ms)

IterNodesCost
01401923
12331757
24711723
312011719
445551719
done50001719

prune651.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms