Details

sample43.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
done	19	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

16.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(* z (cos y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (+ x (sin y)) (* z (cos y)))
48.0ms	(* z (cos y))

simplify948.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	62	349
1	153	330
2	485	304
3	1760	304
done	5000	304

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
146.0ms	(cbrt (* z (cos y)))
148.0ms	(cbrt (* z (cos y)))
143.0ms	(cbrt (* z (cos y)))

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: 3 (673.0ms)

Iter	Nodes	Cost
0	81	744
1	173	662
2	592	586
3	2984	519
done	5000	519

prune241.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `pow1/3`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 60

Calls

4 calls:

7.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)

series632.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
147.0ms	(cbrt (* z (cos y)))
136.0ms	(cbrt (* z (cos y)))
183.0ms	(cbrt z)

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (479.0ms)

Iter	Nodes	Cost
0	96	706
1	199	619
2	643	552
3	3118	487
done	5000	487

prune282.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (cos y))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt (cos y))
2.0ms	(cbrt (* z (cos y)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series651.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (cos y))
147.0ms	(cbrt (* z (cos y)))
192.0ms	(cbrt z)
200.0ms	(cbrt z)

simplify654.0ms

Counts

54 → 54

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	71	319
1	128	305
2	321	273
3	1158	259
done	5000	259

prune207.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

413.0ms	981×	body	1280	valid
311.0ms	5550×	body	80	valid
233.0ms	867×	body	640	valid
78.0ms	406×	body	320	valid
24.0ms	195×	body	160	valid
1.0ms	1×	body	2560	valid