Details

Time bar (total: 20.3s)

sample72.0ms

Algorithm
intervals
Results
21.0ms332×body80nan
21.0ms320×body80valid

simplify8.5s

Counts
1 → 1
Iterations
IterNodes
done5000
94727
81408
7522
6289
5163
470
339
222
115
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.8b
(- (* y y) (* z z))
25.9b
(sqrt (- (* y y) (* z z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×pow1
5×add-cbrt-cube add-exp-log add-log-exp
4×sqrt-div
3×expm1-log1p-u flip3-- associate-*l* insert-posit16 log1p-expm1-u flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 65
Calls
3 calls:
36.0ms
(* x (sqrt (- (* y y) (* z z))))
10.0ms
(- (* y y) (* z z))
14.0ms
(sqrt (- (* y y) (* z z)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(* x (sqrt (- (* y y) (* z z))))
41.0ms
(- (* y y) (* z z))
73.0ms
(sqrt (- (* y y) (* z z)))

simplify2.2s

Counts
74 → 74
Iterations
IterNodes
done5000
32748
2590
1210
097

prune335.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
25.9b
(sqrt (* (+ y z) (- y z)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-+ flip3-- flip-+ flip--
4×*-un-lft-identity add-cbrt-cube associate-*r* associate-*l/ add-exp-log add-cube-cbrt
3×associate-*l*
2×expm1-log1p-u sqrt-pow1 pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
66.0ms
(* x (sqrt (* (+ y z) (- y z))))
29.0ms
(sqrt (* (+ y z) (- y z)))

series229.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(* x (sqrt (* (+ y z) (- y z))))
90.0ms
(sqrt (* (+ y z) (- y z)))

simplify2.6s

Counts
58 → 58
Iterations
IterNodes
done5000
33734
2751
1222
0101

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

12.8b
(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
26.8b
(cbrt (- (* y y) (* z z)))
26.8b
(cbrt (- (* y y) (* z z)))
26.8b
(cbrt (- (* y y) (* z z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod pow1
9×sqrt-pow1 flip3-- pow1/3 flip--
8×sqrt-div
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u frac-times add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×difference-of-squares
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 rem-sqrt-square pow-plus pow1/2 sqrt-prod
Counts
4 → 81
Calls
4 calls:
34.0ms
(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
7.0ms
(cbrt (- (* y y) (* z z)))
7.0ms
(cbrt (- (* y y) (* z z)))
7.0ms
(cbrt (- (* y y) (* z z)))

series744.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
180.0ms
(cbrt (- (* y y) (* z z)))
183.0ms
(cbrt (- (* y y) (* z z)))
189.0ms
(cbrt (- (* y y) (* z z)))

simplify3.5s

Counts
93 → 93
Iterations
IterNodes
done5000
44924
31426
2486
1213
0111

prune745.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes555.0ms

bsearch39.0ms