Details

sample87.0ms

Algorithm

intervals

Results

33.0ms	50×	body	1280	valid
17.0ms	38×	body	640	valid
13.0ms	138×	body	80	valid
6.0ms	18×	body	320	valid
3.0ms	12×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

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` `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 → 56

Calls

3 calls:

19.0ms	(- (* x (cos y)) (* z (sin y)))
47.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series216.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(- (* x (cos y)) (* z (sin y)))
48.0ms	(* x (cos y))
63.0ms	(* z (sin y))

simplify1.9s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	1737
2	480
1	201
0	91

prune392.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite28.0ms

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:

22.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series691.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
156.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))

simplify4.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4766
3	1197
2	374
1	149
0	68

prune545.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(log1p (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`expm1-log1p-u`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log1p-udef` `log1p-expm1`

Counts

4 → 50

Calls

4 calls:

1.0ms	(log1p (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series730.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(log1p (cbrt (cos y)))
150.0ms	(cbrt (cos y))
189.0ms	(cbrt (cos y))
165.0ms	(cbrt (cos y))

simplify3.1s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
5	3909
4	1189
3	387
2	161
1	83
0	48

prune528.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0b	(cbrt (* z (sin y)))
9.0b	(cbrt (* z (sin y)))
9.0b	(cbrt (* z (sin y)))

rewrite26.0ms

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` `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:

15.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
192.0ms	(cbrt (* z (sin y)))
142.0ms	(cbrt (* z (sin y)))
167.0ms	(cbrt (* z (sin y)))

simplify3.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
4	4580
3	1542
2	541
1	215
0	91

prune609.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes368.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.0s	1545×	body	1280	valid
631.0ms	1234×	body	640	valid
554.0ms	4243×	body	80	valid
271.0ms	659×	body	320	valid
84.0ms	319×	body	160	valid