Details

sample84.0ms

Algorithm

intervals

Results

24.0ms	31×	body	1280	valid
19.0ms	181×	body	80	valid
15.0ms	31×	body	640	valid
4.0ms	10×	body	320	valid
1.0ms	3×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	8	243
1	13	243
2	21	218
3	28	218
done	28	218

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (sin y))
57.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.6s

Counts

33 → 33

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	46	6530
1	101	6084
2	233	6059
3	808	6059
done	5000	6059

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite62.0ms

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:

6.0ms	(+ x (sin y))
48.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))

series175.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (sin y))
77.0ms	(+ (+ x (sin y)) (* z (cos y)))
52.0ms	(* z (cos y))

simplify1.7s

Counts

65 → 65

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	85	12909
1	218	11516
2	812	11386
done	5000	11386

prune403.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

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))

rewrite25.0ms

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:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series659.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
124.0ms	(cbrt (cos y))
137.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	68	24811
1	152	20960
2	640	20634
done	5000	19829

prune631.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
38×	`add-sqr-sqrt`
20×	`*-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 → 99

Calls

4 calls:

11.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
30.0ms	(* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))
3.0ms	(cbrt (cbrt (cos y)))
3.0ms	(cbrt (cbrt (cos y)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
185.0ms	(* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))
140.0ms	(cbrt (cbrt (cos y)))
159.0ms	(cbrt (cbrt (cos y)))

simplify3.3s

Counts

111 → 111

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	92	43264
1	176	39307
2	581	39307
3	3447	38567
done	5001	38367

prune701.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes345.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	243
1	11	243
done	11	243

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	5559×	body	80	valid
652.0ms	994×	body	1280	valid
482.0ms	843×	body	640	valid
167.0ms	389×	body	320	valid
44.0ms	215×	body	160	valid