Details

sample112.0ms

Algorithm

intervals

Results

40.0ms	190×	body	80	valid
29.0ms	30×	body	1280	valid
15.0ms	25×	body	640	valid
4.0ms	9×	body	320	valid
1.0ms	2×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2191
8	773
7	280
6	110
5	51
4	42
3	36
2	28
1	14
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

46.0ms	(- (+ x (cos y)) (* z (sin y)))
17.0ms	(* z (sin y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.5s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	2660
2	526
1	156
0	67

prune178.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))

rewrite34.0ms

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×	`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:

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series650.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
146.0ms	(cbrt (sin y))
185.0ms	(cbrt (sin y))
164.0ms	(cbrt (sin y))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	753
1	177
0	75

prune531.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

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×	`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:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt z) (cbrt z))
298.0ms	(cbrt z)
244.0ms	(cbrt z)
288.0ms	(cbrt z)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune475.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (pow (pow (sin y) 2) 1/3) z) (cbrt (sin y)))
0.3b	(pow (sin y) 2)
0.5b	(cbrt (sin y))
17.2b	(pow (pow (sin y) 2) 1/3)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

78.0ms	(* (* (pow (pow (sin y) 2) 1/3) z) (cbrt (sin y)))
5.0ms	(pow (sin y) 2)
2.0ms	(cbrt (sin y))
10.0ms	(pow (pow (sin y) 2) 1/3)

series426.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (pow (pow (sin y) 2) 1/3) z) (cbrt (sin y)))
40.0ms	(pow (sin y) 2)
155.0ms	(cbrt (sin y))
182.0ms	(pow (pow (sin y) 2) 1/3)

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
2	1991
1	404
0	143

prune453.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes286.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	982×	body	1280	valid
750.0ms	5606×	body	80	valid
466.0ms	785×	body	640	valid
195.0ms	425×	body	320	valid
48.0ms	202×	body	160	valid