Details

sample91.0ms

Algorithm

intervals

Results

19.0ms	324×	body	80	valid
18.0ms	301×	body	80	nan

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3626
7	879
6	369
5	164
4	71
3	39
2	22
1	15
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.6b	(- (* y y) (* z z))
24.0b	(sqrt (- (* y y) (* z z)))

rewrite53.0ms

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:

26.0ms	(* x (sqrt (- (* y y) (* z z))))
8.0ms	(- (* y y) (* z z))
19.0ms	(sqrt (- (* y y) (* z z)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* x (sqrt (- (* y y) (* z z))))
64.0ms	(- (* y y) (* z z))
77.0ms	(sqrt (- (* y y) (* z z)))

simplify1.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	956
1	222
0	94

prune440.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune22.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y z))
0.0b	(sqrt (+ y z))
0.1b	(* x (sqrt (+ y z)))
0.2b	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `sqrt-prod`
18×	`sqrt-div`
15×	`associate-r`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`hypot-def`

Counts

4 → 98

Calls

4 calls:

8.0ms	(sqrt (- y z))
6.0ms	(sqrt (+ y z))
26.0ms	(* x (sqrt (+ y z)))
58.0ms	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (- y z))
53.0ms	(sqrt (+ y z))
138.0ms	(* x (sqrt (+ y z)))
166.0ms	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1894
1	430
0	170

prune779.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

Details

sample91.0ms

simplify4.3s

prune5.0ms

localize14.0ms

rewrite53.0ms

series247.0ms

simplify1.0s

prune440.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune22.0ms

localize23.0ms

rewrite101.0ms

series455.0ms

simplify1.3s

prune779.0ms

localize11.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune1.0ms

regimes1.0s

bsearch32.0ms