Details

sample91.0ms

Algorithm

intervals

Results

23.0ms	28×	body	1280	valid
21.0ms	173×	body	80	valid
15.0ms	27×	body	640	valid
8.0ms	20×	body	320	valid
2.0ms	8×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

12.0ms	(+ x (sin y))
45.0ms	(+ (+ x (sin y)) (* z (cos y)))
15.0ms	(* z (cos y))

series169.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (sin y))
60.0ms	(+ (+ x (sin y)) (* z (cos y)))
64.0ms	(* z (cos y))

simplify2.3s

Counts

65 → 65

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	84	495
1	208	462
2	608	420
3	2223	420
done	5001	420

prune259.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series782.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
174.0ms	(cbrt (cos y))
187.0ms	(cbrt (cos y))
157.0ms	(cbrt (cos y))

simplify2.7s

Counts

93 → 93

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune414.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

34.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
5.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series392.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
133.0ms	(cbrt (cos y))
194.0ms	(cbrt (pow (cos y) 2))

simplify3.1s

Counts

86 → 86

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	112	763
1	238	704
2	720	610
3	3109	590
done	5001	579

prune378.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`pow1` `unpow-prod-down` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 71

Calls

4 calls:

6.0ms	(log (exp (cbrt (cos y))))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series557.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(log (exp (cbrt (cos y))))
26.0ms	(pow (cos y) 2)
158.0ms	(cbrt (cos y))
233.0ms	(cbrt (pow (cos y) 2))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	109	612
1	182	516
2	357	453
3	923	441
done	5000	436

prune432.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	19	18
done	19	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	973×	body	1280	valid
610.0ms	5643×	body	80	valid
335.0ms	805×	body	640	valid
145.0ms	386×	body	320	valid
37.0ms	192×	body	160	valid
2.0ms	1×	body	2560	valid