Details

sample67.0ms

Algorithm

intervals

Results

20.0ms	293×	body	80	nan
20.0ms	273×	body	80	valid

simplify213.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	173
8	173
7	167
6	140
5	126
4	101
3	80
2	51
1	21
0	10

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma y (sqrt z) x)

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(fma y (sqrt z) x)

simplify2.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2811
4	733
3	238
2	105
1	49
0	26

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

9.0ms	(+ x (* y (sqrt z)))
8.0ms	(* y (sqrt z))

series116.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ x (* y (sqrt z)))
69.0ms	(* y (sqrt z))

simplify2.9s

Counts

48 → 48

Iterations

Iter	Nodes
done	5004
3	2342
2	737
1	242
0	92

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 100

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
12.0ms	(* y (sqrt (sqrt z)))
32.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(sqrt (sqrt z))
203.0ms	(sqrt (sqrt z))
118.0ms	(* y (sqrt (sqrt z)))
45.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1250
1	371
0	141

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (cbrt (* (sqrt z) (sqrt (sqrt z)))))
0.3b	(* (sqrt z) (sqrt (sqrt z)))
0.3b	(* (* y (cbrt (* (sqrt z) (sqrt (sqrt z))))) (sqrt (sqrt z)))
0.6b	(cbrt (* (sqrt z) (sqrt (sqrt z))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `sqrt-prod`
22×	`pow1` `associate-r`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-exp-log`
11×	`sqrt-pow1` `add-cbrt-cube`
10×	`associate-l`
7×	`pow1/2` `pow-prod-down` `unswap-sqr`
6×	`pow-prod-up`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `rem-cbrt-cube`
1×	`pow1/3` `sqrt-unprod`

Counts

4 → 109

Calls

4 calls:

12.0ms	(* y (cbrt (* (sqrt z) (sqrt (sqrt z)))))
11.0ms	(* (sqrt z) (sqrt (sqrt z)))
47.0ms	(* (* y (cbrt (* (sqrt z) (sqrt (sqrt z))))) (sqrt (sqrt z)))
13.0ms	(cbrt (* (sqrt z) (sqrt (sqrt z))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* y (cbrt (* (sqrt z) (sqrt (sqrt z)))))
248.0ms	(* (sqrt z) (sqrt (sqrt z)))
69.0ms	(* (* y (cbrt (* (sqrt z) (sqrt (sqrt z))))) (sqrt (sqrt z)))
186.0ms	(cbrt (* (sqrt z) (sqrt (sqrt z))))

simplify3.0s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
3	4869
2	1383
1	465
0	179

prune592.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes404.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

993.0ms	8203×	body	80	nan
631.0ms	8532×	body	80	valid