Details

sample101.0ms

Algorithm

intervals

Results

37.0ms	47×	body	1280	valid
16.0ms	34×	body	640	valid
15.0ms	147×	body	80	valid
6.0ms	17×	body	320	valid
2.0ms	11×	body	160	valid

simplify75.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	21
1	13
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 59

Calls

3 calls:

33.0ms	(- (* x (cos y)) (* z (sin y)))
14.0ms	(* z (sin y))
15.0ms	(* x (cos y))

series344.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(- (* x (cos y)) (* z (sin y)))
95.0ms	(* z (sin y))
89.0ms	(* x (cos y))

simplify4.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1852
2	523
1	206
0	94

prune935.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
3.0ms	(cbrt z)
3.0ms	(cbrt z)
3.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

333.0ms	(* (cbrt z) (cbrt z))
298.0ms	(cbrt z)
335.0ms	(cbrt z)
272.0ms	(cbrt z)

simplify9.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5042
4	3937
3	1072
2	378
1	142
0	67

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.8b	(cbrt (* z (sin y)))
9.8b	(cbrt (* z (sin y)))
9.8b	(cbrt (* z (sin y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `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 → 70

Calls

4 calls:

41.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

389.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
261.0ms	(cbrt (* z (sin y)))
324.0ms	(cbrt (* z (sin y)))
320.0ms	(cbrt (* z (sin y)))

simplify7.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	4661
3	1564
2	565
1	218
0	93

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
9.8b	(cbrt (* z (sin y)))
9.8b	(cbrt (* z (sin y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt z)
6.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series980.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (sin y))
304.0ms	(cbrt z)
247.0ms	(cbrt (* z (sin y)))
258.0ms	(cbrt (* z (sin y)))

simplify3.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
4	2804
3	991
2	389
1	176
0	90

prune962.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes685.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s	1523×	body	1280	valid
674.0ms	1261×	body	640	valid
577.0ms	4237×	body	80	valid
175.0ms	645×	body	320	valid
62.0ms	334×	body	160	valid