Details

sample113.0ms

Algorithm

intervals

Results

51.0ms	47×	body	1280	valid
20.0ms	34×	body	640	valid
19.0ms	147×	body	80	valid
7.0ms	17×	body	320	valid
3.0ms	11×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))

rewrite64.0ms

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:

23.0ms	(- (* x (cos y)) (* z (sin y)))
30.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series213.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* x (cos y)) (* z (sin y)))
68.0ms	(* z (sin y))
44.0ms	(* x (cos y))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	1791
2	524
1	204
0	94

prune453.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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)

rewrite17.0ms

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:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.7s

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (cbrt z) (cbrt z))
288.0ms	(cbrt z)
269.0ms	(cbrt z)
755.0ms	(cbrt z)

simplify3.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4657
3	1110
2	364
1	141
0	67

prune671.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

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)))

rewrite77.0ms

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:

47.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))
10.0ms	(cbrt (* z (sin y)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
166.0ms	(cbrt (* z (sin y)))
173.0ms	(cbrt (* z (sin y)))
150.0ms	(cbrt (* z (sin y)))

simplify2.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	4664
3	1514
2	545
1	217
0	93

prune578.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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)))

rewrite22.0ms

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:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt z)
10.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series823.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (sin y))
310.0ms	(cbrt z)
178.0ms	(cbrt (* z (sin y)))
185.0ms	(cbrt (* z (sin y)))

simplify2.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	2808
3	985
2	389
1	176
0	90

prune507.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.3s	1523×	body	1280	valid
730.0ms	1261×	body	640	valid
640.0ms	4237×	body	80	valid
620.0ms	645×	body	320	valid
116.0ms	334×	body	160	valid