Details

sample111.0ms

Algorithm

intervals

Results

41.0ms	52×	body	1280	valid
23.0ms	45×	body	640	valid
14.0ms	127×	body	80	valid
8.0ms	22×	body	320	valid
2.0ms	10×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

1.0ms	(fma x (sin y) (* z (cos y)))
17.0ms	(* z (cos y))

series250.0ms

Counts

2 → 6

Calls

2 calls:

151.0ms	(fma x (sin y) (* z (cos y)))
100.0ms	(* z (cos y))

simplify2.1s

Counts

36 → 36

Iterations

Useful iterations: 3 (300.0ms)

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

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite35.0ms

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:

24.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
3.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt z) (cbrt z))
307.0ms	(cbrt z)
269.0ms	(cbrt z)
276.0ms	(cbrt z)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune484.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt z)
3.0ms	(cbrt (cbrt z))
3.0ms	(cbrt (cbrt z))
3.0ms	(cbrt (cbrt z))

series1.6s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt z)
369.0ms	(cbrt (cbrt z))
426.0ms	(cbrt (cbrt z))
457.0ms	(cbrt (cbrt z))

simplify2.2s

Counts

73 → 73

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	46	419
1	82	400
2	193	370
3	658	358
4	2659	358
done	5000	358

prune381.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (fma x (sin y) (* z (cos y))))
0.6b	(cbrt (fma x (sin y) (* z (cos y))))
0.6b	(cbrt (fma x (sin y) (* z (cos y))))

rewrite33.0ms

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:

23.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
2.0ms	(cbrt (fma x (sin y) (* z (cos y))))
2.0ms	(cbrt (fma x (sin y) (* z (cos y))))
2.0ms	(cbrt (fma x (sin y) (* z (cos y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

376.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
329.0ms	(cbrt (fma x (sin y) (* z (cos y))))
362.0ms	(cbrt (fma x (sin y) (* z (cos y))))
289.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify5.1s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	102	1745
1	240	1617
2	875	1482
3	4875	1282
done	5000	1282

prune943.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes205.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	1543×	body	1280	valid
721.0ms	1222×	body	640	valid
607.0ms	4302×	body	80	valid
259.0ms	619×	body	320	valid
71.0ms	314×	body	160	valid