Details

sample132.0ms

Algorithm

intervals

Results

48.0ms	172×	body	80	valid
38.0ms	43×	body	1280	valid
13.0ms	22×	body	640	valid
4.0ms	10×	body	320	valid
3.0ms	9×	body	160	valid

simplify2.0s

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

22.0ms	(+ (cos y) (- x (* z (sin y))))
9.0ms	(- x (* z (sin y)))
21.0ms	(* z (sin y))

series214.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (cos y) (- x (* z (sin y))))
67.0ms	(- x (* z (sin y)))
67.0ms	(* z (sin y))

simplify2.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	3535
2	640
1	202
0	84

prune334.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (sin y) z))) (cbrt (- x (* (sin y) z))))
0.5b	(cbrt (- x (* (sin y) z)))
0.5b	(cbrt (- x (* (sin y) z)))
0.5b	(cbrt (- x (* (sin y) z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

34.0ms	(* (cbrt (- x (* (sin y) z))) (cbrt (- x (* (sin y) z))))
3.0ms	(cbrt (- x (* (sin y) z)))
3.0ms	(cbrt (- x (* (sin y) z)))
3.0ms	(cbrt (- x (* (sin y) z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt (- x (* (sin y) z))) (cbrt (- x (* (sin y) z))))
265.0ms	(cbrt (- x (* (sin y) z)))
283.0ms	(cbrt (- x (* (sin y) z)))
337.0ms	(cbrt (- x (* (sin y) z)))

simplify1.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1138
1	325
0	134

prune740.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (sqrt z) (* (sqrt z) (sin y))))
0.0b	(+ (cos y) (- x (* (sqrt z) (* (sqrt z) (sin y)))))
0.2b	(* (sqrt z) (sin y))
0.2b	(* (sqrt z) (* (sqrt z) (sin y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(- x (* (sqrt z) (* (sqrt z) (sin y))))
14.0ms	(+ (cos y) (- x (* (sqrt z) (* (sqrt z) (sin y)))))
10.0ms	(* (sqrt z) (sin y))
43.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- x (* (sqrt z) (* (sqrt z) (sin y))))
85.0ms	(+ (cos y) (- x (* (sqrt z) (* (sqrt z) (sin y)))))
150.0ms	(* (sqrt z) (sin y))
76.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

simplify825.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1576
1	363
0	134

prune440.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (cos y) x) (* z (sin y)))
0.1b	(* z (sin y))
0.2b	(pow (- (+ (cos y) x) (* z (sin y))) 3)
27.0b	(cbrt (pow (- (+ (cos y) x) (* z (sin y))) 3))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`unpow-prod-down` `cube-prod`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `associate-l` `flip--`
2×	`cube-mult` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sum-log` `sub-neg` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `associate--l+` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

55.0ms	(- (+ (cos y) x) (* z (sin y)))
8.0ms	(* z (sin y))
44.0ms	(pow (- (+ (cos y) x) (* z (sin y))) 3)
39.0ms	(cbrt (pow (- (+ (cos y) x) (* z (sin y))) 3))

series420.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (+ (cos y) x) (* z (sin y)))
62.0ms	(* z (sin y))
198.0ms	(pow (- (+ (cos y) x) (* z (sin y))) 3)
86.0ms	(cbrt (pow (- (+ (cos y) x) (* z (sin y))) 3))

simplify1.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2148
1	376
0	132

prune524.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes181.0ms

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

sample3.2s

Algorithm

intervals

Results

1.4s	5528×	body	80	valid
701.0ms	1001×	body	1280	valid
508.0ms	850×	body	640	valid
167.0ms	409×	body	320	valid
45.0ms	212×	body	160	valid