Details

sample72.0ms

Algorithm

intervals

Results

20.0ms	320×	body	80	nan
16.0ms	327×	body	80	valid

simplify1.2s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.2b	(- (* y y) (* z z))
27.2b	(sqrt (- (* y y) (* z z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

48.0ms	(* x (sqrt (- (* y y) (* z z))))
13.0ms	(- (* y y) (* z z))
15.0ms	(sqrt (- (* y y) (* z z)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(* x (sqrt (- (* y y) (* z z))))
39.0ms	(- (* y y) (* z z))
50.0ms	(sqrt (- (* y y) (* z z)))

simplify897.0ms

Counts: 63 → 63

prune185.0ms

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

simplify11.0ms

Counts: 0 → 0

prune8.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify16.0ms

Counts: 0 → 0

prune13.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

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-exp-log` `add-cube-cbrt` `add-cbrt-cube`
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:

82.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
16.0ms	(sqrt (- y z))
9.0ms	(sqrt (+ y z))
60.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
81.0ms	(sqrt (- y z))
59.0ms	(sqrt (+ y z))
103.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify577.0ms

Counts: 112 → 112

prune366.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

Details

sample72.0ms

simplify1.2s

prune2.0ms

localize8.0ms

rewrite79.0ms

series206.0ms

simplify897.0ms

prune185.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify11.0ms

prune8.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify16.0ms

prune13.0ms

localize15.0ms

rewrite174.0ms

series381.0ms

simplify577.0ms

prune366.0ms

regimes396.0ms

bsearch13.0ms