Details

sample108.0ms

Algorithm

intervals

Results

42.0ms	31×	body	1280	valid
19.0ms	182×	body	80	valid
16.0ms	31×	body	640	valid
3.0ms	9×	body	320	valid
1.0ms	3×	body	160	valid

simplify3.0s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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))

rewrite82.0ms

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:

51.0ms	(- (+ x (cos y)) (* z (sin y)))
14.0ms	(+ x (cos y))
14.0ms	(* z (sin y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (+ x (cos y)) (* z (sin y)))
36.0ms	(+ x (cos y))
48.0ms	(* z (sin y))

simplify1.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	719
1	228
0	95

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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)))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

173×	`pow1`
78×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
34×	`pow-prod-up`
12×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `pow-plus` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `*-commutative`
2×	`cube-unmult`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

12.0ms	(* z (sin y))
98.0ms	(* (* z (sin y)) (* (* z (sin y)) (* z (sin y))))
52.0ms	(* (* z (sin y)) (* z (sin y)))
94.0ms	(cbrt (* (* z (sin y)) (* (* z (sin y)) (* z (sin y)))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* z (sin y))
105.0ms	(* (* z (sin y)) (* (* z (sin y)) (* z (sin y))))
90.0ms	(* (* z (sin y)) (* z (sin y)))
74.0ms	(cbrt (* (* z (sin y)) (* (* z (sin y)) (* z (sin y)))))

simplify1.8s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	2317
1	361
0	125

prune565.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
11×	`*-un-lft-identity`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
7×	`sqrt-prod`
5×	`add-log-exp`
4×	`associate-r` `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:

13.0ms	(+ x (cos y))
16.0ms	(* (sqrt z) (sin y))
39.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (cos y))
94.0ms	(* (sqrt z) (sin y))
62.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

simplify960.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1136
1	290
0	111

prune328.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize52.0ms

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)))

rewrite49.0ms

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))
9.0ms	(* z (sqrt (sin y)))
35.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (sin y))
28.0ms	(sqrt (sin y))
79.0ms	(* z (sqrt (sin y)))
47.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify1.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1126
1	228
0	89

prune438.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes250.0ms

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

704.0ms	996×	body	1280	valid
639.0ms	5556×	body	80	valid
419.0ms	840×	body	640	valid
409.0ms	396×	body	320	valid
44.0ms	210×	body	160	valid
2.0ms	2×	body	2560	valid