Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	31×	body	1280	valid
12.0ms	182×	body	80	valid
9.0ms	31×	body	640	valid
2.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify1.8s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

46.0ms	(- (+ x (cos y)) (* z (sin y)))
6.0ms	(+ x (cos y))
8.0ms	(* z (sin y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (+ x (cos y)) (* z (sin y)))
27.0ms	(+ x (cos y))
44.0ms	(* z (sin y))

simplify2.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	2864
2	626
1	198
0	82

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
0.2b	(* (* z (sin y)) (* z (sin y)))
33.0b	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

8.0ms	(* z (sin y))
95.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
27.0ms	(* (* z (sin y)) (* z (sin y)))
81.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* z (sin y))
96.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
84.0ms	(* (* z (sin y)) (* z (sin y)))
51.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

simplify1.7s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	1922
1	334
0	114

prune411.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (cos y))
0.1b	(* (sqrt z) (sin y))
0.2b	(* (sqrt z) (* (sqrt z) (sin y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

5.0ms	(+ x (cos y))
14.0ms	(* (sqrt z) (sin y))
35.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (cos y))
81.0ms	(* (sqrt z) (sin y))
61.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

simplify958.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1093
1	278
0	105

prune305.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sin y))
0.0b	(sqrt (sin y))
0.1b	(* z (sqrt (sin y)))
0.2b	(* (* z (sqrt (sin y))) (sqrt (sin y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

1.0ms	(sqrt (sin y))
2.0ms	(sqrt (sin y))
12.0ms	(* z (sqrt (sin y)))
39.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (sin y))
18.0ms	(sqrt (sin y))
73.0ms	(* z (sqrt (sin y)))
49.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify887.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1111
1	219
0	83

prune341.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

711.0ms	840×	body	640	valid
692.0ms	5556×	body	80	valid
586.0ms	996×	body	1280	valid
142.0ms	396×	body	320	valid
113.0ms	210×	body	160	valid
3.0ms	2×	body	2560	valid