Details

sample93.0ms

Algorithm

intervals

Results

30.0ms	44×	body	1280	valid
19.0ms	38×	body	640	valid
17.0ms	151×	body	80	valid
4.0ms	16×	body	320	valid
2.0ms	7×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (sin y) (* z (cos y)))
9.0ms	(* z (cos y))

series131.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(fma x (sin y) (* z (cos y)))
42.0ms	(* z (cos y))

simplify2.0s

Counts

36 → 36

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	50	271
1	91	266
2	240	235
3	893	233
4	2775	233
done	5000	233

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `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` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

39.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
9.0ms	(cbrt (* z (cos y)))
9.0ms	(cbrt (* z (cos y)))
16.0ms	(cbrt (* z (cos y)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
180.0ms	(cbrt (* z (cos y)))
192.0ms	(cbrt (* z (cos y)))
224.0ms	(cbrt (* z (cos y)))

simplify668.0ms

Counts

78 → 78

Iterations

Useful iterations: done (665.0ms)

Iter	Nodes	Cost
0	85	804
1	205	722
2	818	643
done	5000	597

prune550.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt z)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1/3`
9×	`pow1` `add-exp-log`
7×	`cbrt-prod` `pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 60

Calls

4 calls:

49.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)

series929.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
178.0ms	(cbrt (* z (cos y)))
205.0ms	(cbrt (* z (cos y)))
329.0ms	(cbrt z)

simplify3.5s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	103	677
1	230	650
2	823	586
3	4750	562
done	5001	562

prune454.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt z) (cbrt (cos y))) (* (cbrt z) (cbrt (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`pow-prod-down`
16×	`add-exp-log`
15×	`pow1/3`
8×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
7×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 76

Calls

4 calls:

79.0ms	(* (* (cbrt z) (cbrt (cos y))) (* (cbrt z) (cbrt (cos y))))
4.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (* (cbrt z) (cbrt (cos y))) (* (cbrt z) (cbrt (cos y))))
214.0ms	(cbrt (* z (cos y)))
352.0ms	(cbrt z)
283.0ms	(cbrt z)

simplify651.0ms

Counts

88 → 88

Iterations

Useful iterations: done (647.0ms)

Iter	Nodes	Cost
0	106	767
1	247	671
2	917	552
done	5000	525

prune473.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.8s	1474×	body	1280	valid
1.3s	1241×	body	640	valid
704.0ms	4385×	body	80	valid
283.0ms	597×	body	320	valid
76.0ms	303×	body	160	valid