Details

sample93.0ms

Algorithm

intervals

Results

26.0ms	332×	body	80	nan
17.0ms	320×	body	80	valid

simplify15.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4727
8	1408
7	522
6	289
5	163
4	70
3	39
2	22
1	15
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.8b	(- (* y y) (* z z))
25.9b	(sqrt (- (* y y) (* z z)))

rewrite116.0ms

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` `insert-posit16` `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 → 65

Calls

3 calls:

60.0ms	(* x (sqrt (- (* y y) (* z z))))
19.0ms	(- (* y y) (* z z))
31.0ms	(sqrt (- (* y y) (* z z)))

series331.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(* x (sqrt (- (* y y) (* z z))))
53.0ms	(- (* y y) (* z z))
107.0ms	(sqrt (- (* y y) (* z z)))

simplify4.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5004
3	2697
2	605
1	208
0	97

prune732.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

12.8b	(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
26.8b	(cbrt (- (* y y) (* z z)))
26.8b	(cbrt (- (* y y) (* z z)))
26.8b	(cbrt (- (* y y) (* z z)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`cbrt-prod` `pow1`
9×	`sqrt-pow1` `flip3--` `pow1/3` `flip--`
8×	`sqrt-div`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`difference-of-squares`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow1/2` `sqrt-prod`

Counts

4 → 81

Calls

4 calls:

47.0ms	(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
9.0ms	(cbrt (- (* y y) (* z z)))
9.0ms	(cbrt (- (* y y) (* z z)))
9.0ms	(cbrt (- (* y y) (* z z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
247.0ms	(cbrt (- (* y y) (* z z)))
287.0ms	(cbrt (- (* y y) (* z z)))
289.0ms	(cbrt (- (* y y) (* z z)))

simplify7.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4964
3	1429
2	486
1	213
0	111

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

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

prune20.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

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: 0b

Details

sample93.0ms

simplify15.6s

prune12.0ms

localize44.0ms

rewrite116.0ms

series331.0ms

simplify4.2s

prune732.0ms

localize91.0ms

rewrite78.0ms

series1.1s

simplify7.6s

prune1.3s

localize16.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune20.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune1.0ms

regimes2.4s

bsearch40.0ms