Details

Time bar (total: 17.7s)

sample60.0ms

Algorithm
intervals
Results
16.0ms347×body80valid
15.0ms342×body80nan

simplify9.0s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.8b
(- (* y y) (* z z))
24.6b
(sqrt (- (* y y) (* z z)))

rewrite39.0ms

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* 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 → 62
Calls
3 calls:
22.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
9.0ms
(sqrt (- (* y y) (* z z)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* x (sqrt (- (* y y) (* z z))))
39.0ms
(- (* y y) (* z z))
74.0ms
(sqrt (- (* y y) (* z z)))

simplify1.5s

Counts
71 → 71
Iterations
IterNodes
done5016
32490
2559
1203
094

prune423.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune26.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

2.8b
(- (* y y) (* z z))
24.6b
(sqrt (- (* y y) (* z z)))
24.6b
(sqrt (- (* y y) (* z z)))
24.6b
(sqrt (- (* y y) (* z z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×sqrt-prod
10×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div add-log-exp
4×expm1-log1p-u flip3-- add-cbrt-cube add-exp-log log1p-expm1-u flip-- difference-of-squares
3×rem-sqrt-square sqrt-pow1 pow1/2
1×sub-neg fma-neg diff-log prod-diff
Counts
4 → 71
Calls
4 calls:
10.0ms
(- (* y y) (* z z))
13.0ms
(sqrt (- (* y y) (* z z)))
14.0ms
(sqrt (- (* y y) (* z z)))
10.0ms
(sqrt (- (* y y) (* z z)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))
55.0ms
(sqrt (- (* y y) (* z z)))
66.0ms
(sqrt (- (* y y) (* z z)))

simplify1.3s

Counts
83 → 83
Iterations
IterNodes
done5022
31658
2371
1136
062

prune590.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
27×add-sqr-sqrt
22×sqrt-prod
19×*-un-lft-identity
15×pow1
12×associate-*r/
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l*
9×associate-*r*
8×frac-times
7×flip3-+ flip3-- flip-+ flip--
6×pow-prod-down
4×expm1-log1p-u sqrt-pow1 pow1/2 associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×rem-sqrt-square *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
1×sqrt-unprod hypot-def
Counts
4 → 109
Calls
4 calls:
12.0ms
(sqrt (- y z))
9.0ms
(sqrt (+ y z))
66.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
48.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (- y z))
53.0ms
(sqrt (+ y z))
154.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
96.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify2.4s

Counts
121 → 121
Iterations
IterNodes
done5001
33434
21074
1395
0169

prune477.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes714.0ms

bsearch34.0ms