Details

sample82.0ms

Algorithm

intervals

Results

22.0ms	319×	body	80	nan
18.0ms	327×	body	80	valid

simplify4.4s

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: 22.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.4b	(- (* y y) (* z z))
22.6b	(sqrt (- (* y y) (* z z)))

rewrite64.0ms

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:

27.0ms	(* x (sqrt (- (* y y) (* z z))))
20.0ms	(- (* y y) (* z z))
15.0ms	(sqrt (- (* y y) (* z z)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(* x (sqrt (- (* y y) (* z z))))
54.0ms	(- (* y y) (* z z))
63.0ms	(sqrt (- (* y y) (* z z)))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	956
1	222
0	94

prune492.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

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

prune14.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune10.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize25.0ms

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)))

rewrite123.0ms

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:

18.0ms	(sqrt (- y z))
13.0ms	(sqrt (+ y z))
30.0ms	(* x (sqrt (+ y z)))
56.0ms	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (- y z))
77.0ms	(sqrt (+ y z))
88.0ms	(* x (sqrt (+ y z)))
159.0ms	(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1894
1	430
0	170

prune659.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

regimes701.0ms

Accuracy

96.7% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 24.8b

bsearch135.0ms

Steps

Iters	Range		Point
7	-3.2400911041966166e-233	-1.6291560263387635e-234	-1.6503593403623256e-234

simplify4.0ms

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

639.0ms	9826×	body	80	nan
540.0ms	10057×	body	80	valid