Details

sample81.0ms

Algorithm

intervals

Results

28.0ms	51×	body	1280	valid
17.0ms	47×	body	640	valid
10.0ms	127×	body	80	valid
6.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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 (cos y) z (* x (sin y)))
48.0ms	(* x (sin y))

series213.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(fma (cos y) z (* x (sin y)))
73.0ms	(* x (sin y))

simplify2.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4604
3	1246
2	320
1	107
0	56

prune254.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt x) (cbrt x))
280.0ms	(cbrt x)
244.0ms	(cbrt x)
289.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune618.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.5s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt x)
378.0ms	(cbrt (cbrt x))
398.0ms	(cbrt (cbrt x))
393.0ms	(cbrt (cbrt x))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	2403
3	656
2	193
1	81
0	46

prune645.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))

series1.6s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt x)
392.0ms	(cbrt (cbrt x))
439.0ms	(cbrt (cbrt x))
423.0ms	(cbrt (cbrt x))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	2403
3	656
2	193
1	81
0	46

prune519.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes285.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.3s	1473×	body	1280	valid
1.2s	1309×	body	640	valid
648.0ms	4317×	body	80	valid
609.0ms	604×	body	320	valid
105.0ms	297×	body	160	valid