Details

Time bar (total: 17.5s)

sample114.0ms

Algorithm
intervals
Results
45.0ms310×body80nan
37.0ms329×body80valid

simplify8.6s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize18.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* y y) (* z z))
21.3b
(sqrt (- (* y y) (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod add-log-exp
3×pow1 *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- difference-of-squares
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
2 → 37
Calls
2 calls:
9.0ms
(- (* y y) (* z z))
10.0ms
(sqrt (- (* y y) (* z z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* y y) (* z z))
65.0ms
(sqrt (- (* y y) (* z z)))

simplify1.9s

Counts
43 → 43
Iterations
IterNodes
done5001
31666
2377
1138
064

prune208.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune14.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
8×associate-*r*
7×pow1 associate-*l* add-cube-cbrt
4×frac-times flip3-- add-cbrt-cube add-exp-log flip-- unswap-sqr
3×sqrt-pow1 flip3-+ pow1/2 pow-prod-down flip-+
2×expm1-log1p-u associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out
Counts
2 → 64
Calls
2 calls:
10.0ms
(sqrt (- y z))
35.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series202.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(sqrt (- y z))
98.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5003
31709
2663
1266
0121

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ y z)))
0.1b
(sqrt (sqrt (+ y z)))
0.2b
(* (sqrt (sqrt (+ y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))))
0.2b
(* (sqrt (sqrt (+ y z))) (sqrt (- y z)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
116×sqrt-div
60×sqrt-prod
34×add-sqr-sqrt
32×frac-times
26×*-un-lft-identity
23×flip3-+ flip-+
20×pow1 associate-*l*
16×associate-*r/ add-cube-cbrt
13×sqrt-pow1
12×flip3-- flip--
11×add-cbrt-cube add-exp-log
10×pow-prod-down associate-*l/
9×pow1/2 associate-*r*
6×unswap-sqr
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
3×sqrt-unprod
2×*-commutative
1×distribute-lft-out-- difference-of-squares
Counts
4 → 156
Calls
4 calls:
12.0ms
(sqrt (sqrt (+ y z)))
7.0ms
(sqrt (sqrt (+ y z)))
81.0ms
(* (sqrt (sqrt (+ y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))))
47.0ms
(* (sqrt (sqrt (+ y z))) (sqrt (- y z)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(sqrt (sqrt (+ y z)))
267.0ms
(sqrt (sqrt (+ y z)))
112.0ms
(* (sqrt (sqrt (+ y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))))
226.0ms
(* (sqrt (sqrt (+ y z))) (sqrt (- y z)))

simplify2.0s

Counts
168 → 168
Iterations
IterNodes
done5000
22015
1652
0253

prune903.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes313.0ms

bsearch35.0ms