Details

sample74.0ms

Algorithm

intervals

Results

21.0ms	31×	body	1280	valid
18.0ms	181×	body	80	valid
14.0ms	31×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	3×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	21
1	13
0	8

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`fma-def` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

11.0ms	(+ x (sin y))
31.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series162.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (sin y))
73.0ms	(+ (+ x (sin y)) (* z (cos y)))
56.0ms	(* z (cos y))

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	812
1	218
0	85

prune365.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

11.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (sin y))
81.0ms	(fma (cos y) z (+ x (sin y)))

simplify845.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
3	808
2	233
1	101
0	46

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite21.0ms

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:

15.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series557.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
114.0ms	(cbrt (cos y))
123.0ms	(cbrt (cos y))
143.0ms	(cbrt (cos y))

simplify1.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune541.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

29.0ms	(* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))
3.0ms	(cbrt (cbrt (cos y)))
3.0ms	(cbrt (cbrt (cos y)))
3.0ms	(cbrt (cbrt (cos y)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))
99.0ms	(cbrt (cbrt (cos y)))
118.0ms	(cbrt (cbrt (cos y)))
149.0ms	(cbrt (cbrt (cos y)))

simplify4.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
3	4127
2	571
1	168
0	85

prune768.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

857.0ms	843×	body	640	valid
803.0ms	994×	body	1280	valid
611.0ms	5559×	body	80	valid
170.0ms	389×	body	320	valid
43.0ms	215×	body	160	valid