Details

sample120.0ms

Algorithm

intervals

Results

40.0ms	45×	body	1280	valid
26.0ms	45×	body	640	valid
15.0ms	123×	body	80	valid
13.0ms	31×	body	320	valid
3.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

34.0ms	(+ (* x (sin y)) (* z (cos y)))
18.0ms	(* x (sin y))
17.0ms	(* z (cos y))

series233.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* x (sin y)) (* z (cos y)))
78.0ms	(* x (sin y))
49.0ms	(* z (cos y))

simplify3.3s

Counts

56 → 56

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	82	458
1	186	430
2	458	396
3	1054	396
4	2739	396
done	5000	396

prune298.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series671.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
130.0ms	(cbrt (cos y))
149.0ms	(cbrt (cos y))
147.0ms	(cbrt (cos y))

simplify6.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.7s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune398.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

24.0ms	(* z (pow (pow (cos y) 2) 1/3))
75.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series397.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* z (pow (pow (cos y) 2) 1/3))
60.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
37.0ms	(pow (cos y) 2)
164.0ms	(cbrt (cos y))

simplify3.9s

Counts

102 → 102

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	133	1081
1	301	889
2	849	792
3	3619	728
done	5001	720

prune479.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 1 (* (cbrt (pow (cos y) 2)) z)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`pow1` `cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp`
9×	`add-cbrt-cube`
6×	`unpow-prod-down` `associate-r` `pow-prod-down` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `1-exp` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 71

Calls

4 calls:

87.0ms	(* (* 1 (* (cbrt (pow (cos y) 2)) z)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series479.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* 1 (* (cbrt (pow (cos y) 2)) z)) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
151.0ms	(cbrt (cos y))
237.0ms	(cbrt (pow (cos y) 2))

simplify3.6s

Counts

83 → 83

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	126	864
1	262	738
2	788	631
3	3106	606
done	5000	598

prune343.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	18
1	22	16
done	22	16

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	1520×	body	1280	valid
838.0ms	1200×	body	640	valid
733.0ms	598×	body	320	valid
710.0ms	4363×	body	80	valid
69.0ms	319×	body	160	valid