Details

sample73.0ms

Algorithm

intervals

Results

21.0ms	31×	body	1280	valid
18.0ms	182×	body	80	valid
13.0ms	31×	body	640	valid
3.0ms	9×	body	320	valid
1.0ms	3×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2320
8	879
7	342
6	130
5	67
4	56
3	40
2	28
1	14
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u` `distribute-lft-out`
2×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

48.0ms	(- (+ x (cos y)) (* z (sin y)))
5.0ms	(+ x (cos y))
7.0ms	(* z (sin y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (+ x (cos y)) (* z (sin y)))
28.0ms	(+ x (cos y))
67.0ms	(* z (sin y))

simplify596.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	719
1	228
0	95

prune313.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cos y))
0.1b	(* z (sin y))
0.2b	(pow (* z (sin y)) 3)
33.0b	(cbrt (pow (* z (sin y)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `associate-r` `associate-l`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow1/3` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(+ x (cos y))
14.0ms	(* z (sin y))
5.0ms	(pow (* z (sin y)) 3)
3.0ms	(cbrt (pow (* z (sin y)) 3))

series486.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (cos y))
40.0ms	(* z (sin y))
360.0ms	(pow (* z (sin y)) 3)
56.0ms	(cbrt (pow (* z (sin y)) 3))

simplify691.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1254
1	289
0	116

prune497.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-l` `add-cube-cbrt`
7×	`associate-r` `sqrt-prod`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

7.0ms	(+ x (cos y))
14.0ms	(* (sin y) (sqrt z))
29.0ms	(* (sqrt z) (* (sin y) (sqrt z)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (cos y))
74.0ms	(* (sin y) (sqrt z))
59.0ms	(* (sqrt z) (* (sin y) (sqrt z)))

simplify557.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1048
1	296
0	116

prune323.0ms

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

rewrite47.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(sqrt (sin y))
2.0ms	(sqrt (sin y))
13.0ms	(* z (sqrt (sin y)))
27.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (sin y))
17.0ms	(sqrt (sin y))
67.0ms	(* z (sqrt (sin y)))
52.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify632.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1126
1	228
0	89

prune415.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes248.0ms

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

sample2.4s

Algorithm

intervals

Results

871.0ms	5556×	body	80	valid
624.0ms	996×	body	1280	valid
495.0ms	840×	body	640	valid
147.0ms	396×	body	320	valid
36.0ms	210×	body	160	valid
3.0ms	2×	body	2560	valid