Details

Time bar (total: 13.5s)

sample54.0ms

Algorithm
intervals
Results
20.0ms347×body80valid
12.0ms342×body80nan

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5000
94530
81155
7370
6204
5132
461
336
221
114
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize18.0ms

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)))

rewrite46.0ms

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×flip3-- associate-*l* flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 54
Calls
3 calls:
26.0ms
(* x (sqrt (- (* y y) (* z z))))
9.0ms
(- (* y y) (* z z))
9.0ms
(sqrt (- (* y y) (* z z)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* x (sqrt (- (* y y) (* z z))))
49.0ms
(- (* y y) (* z z))
75.0ms
(sqrt (- (* y y) (* z z)))

simplify1.5s

Counts
63 → 63
Iterations
IterNodes
done5000
32374
2545
1196
085

prune336.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

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

prune22.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize50.0ms

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)))

rewrite34.0ms

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×flip3-- add-cbrt-cube add-exp-log flip-- difference-of-squares
3×rem-sqrt-square sqrt-pow1 pow1/2
1×sub-neg diff-log
Counts
4 → 61
Calls
4 calls:
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))
12.0ms
(sqrt (- (* y y) (* z z)))
7.0ms
(sqrt (- (* y y) (* z z)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* y y) (* z z))
56.0ms
(sqrt (- (* y y) (* z z)))
52.0ms
(sqrt (- (* y y) (* z z)))
54.0ms
(sqrt (- (* y y) (* z z)))

simplify1.2s

Counts
73 → 73
Iterations
IterNodes
done5001
31431
2331
1126
055

prune403.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize19.0ms

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)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
25×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×sqrt-pow1 pow1/2 associate-*l/ prod-exp cbrt-unprod add-log-exp unswap-sqr
2×rem-sqrt-square *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
1×sqrt-unprod
Counts
4 → 100
Calls
4 calls:
6.0ms
(sqrt (- y z))
6.0ms
(sqrt (+ y z))
44.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
31.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (- y z))
36.0ms
(sqrt (+ y z))
105.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
68.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify2.4s

Counts
112 → 112
Iterations
IterNodes
done5001
33325
21049
1374
0161

prune518.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes847.0ms

bsearch25.0ms