Details

sample61.0ms

Algorithm

intervals

Results

20.0ms	281×	body	80	valid
12.0ms	249×	body	80	nan

simplify242.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	121	9
5	140	9
6	157	9
7	173	9
8	175	9
done	175	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (sqrt z) y x)

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(fma (sqrt z) y x)

simplify3.2s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.8s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	171	97
3	394	95
4	1016	95
5	2924	92
done	5001	92

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
11.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

369.0ms	(cbrt (fma (sqrt z) y x))
354.0ms	(cbrt (fma (sqrt z) y x))
386.0ms	(cbrt (fma (sqrt z) y x))
324.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	133	1594
1	318	1474
2	880	1326
3	2656	1098
done	5000	1048

prune364.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x))))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

24.0ms	(* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x))))
1.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
2.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
2.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

series1.7s

Counts

4 → 12

Calls

4 calls:

381.0ms	(* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x))))
434.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
428.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
465.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

simplify2.4s

Counts

116 → 116

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	155	2266
1	345	2133
2	934	1965
3	2706	1689
done	5000	1638

prune564.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.9b	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

14.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
10.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
9.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

series1.8s

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
462.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
331.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
687.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	235	1922
1	568	1727
2	1580	1558
done	5000	1328

prune649.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	10	9
done	10	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

546.0ms	8536×	body	80	valid
422.0ms	8578×	body	80	nan