Details

sample51.0ms

Algorithm

intervals

Results

12.0ms	187×	body	80	valid
12.0ms	26×	body	1280	valid
8.0ms	26×	body	640	valid
4.0ms	16×	body	320	valid
1.0ms	1×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	41	9
4	57	9
5	68	9
6	131	9
7	343	9
8	885	9
9	2386	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

59.0ms	(- (+ x (cos y)) (* z (sin y)))
16.0ms	(* z (sin y))

series126.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (+ x (cos y)) (* z (sin y)))
59.0ms	(* z (sin y))

simplify2.8s

Counts

50 → 50

Iterations

Useful iterations: 3 (879.0ms)

Iter	Nodes	Cost
0	82	511
1	188	491
2	622	447
3	4736	432
done	5000	432

prune165.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite19.0ms

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:

13.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series958.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt z) (cbrt z))
275.0ms	(cbrt z)
217.0ms	(cbrt z)
217.0ms	(cbrt z)

simplify985.0ms

Counts

93 → 93

Iterations

Useful iterations: done (982.0ms)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune410.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt z)
272.0ms	(cbrt z)
210.0ms	(cbrt z)
277.0ms	(cbrt z)

simplify976.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	26	284
1	47	268
2	115	244
3	334	232
4	1002	232
done	5001	232

prune327.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (cbrt (+ x (cos y))) 3) (* (sin y) z))
0.1b	(* (sin y) z)
0.4b	(cbrt (+ x (cos y)))
0.5b	(pow (cbrt (+ x (cos y))) 3)

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
28×	`cbrt-prod`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
21×	`unpow-prod-down` `cube-prod`
20×	`fma-neg` `prod-diff`
7×	`pow1` `add-exp-log` `distribute-lft-out`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-r` `associate-l` `sqr-pow`
2×	`cube-div` `pow-pow` `flip3-+` `pow1/3` `flip-+`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

447.0ms	(- (pow (cbrt (+ x (cos y))) 3) (* (sin y) z))
14.0ms	(* (sin y) z)
4.0ms	(cbrt (+ x (cos y)))
10.0ms	(pow (cbrt (+ x (cos y))) 3)

series362.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (pow (cbrt (+ x (cos y))) 3) (* (sin y) z))
43.0ms	(* (sin y) z)
112.0ms	(cbrt (+ x (cos y)))
139.0ms	(pow (cbrt (+ x (cos y))) 3)

simplify2.6s

Counts

138 → 138

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	191	1942
1	558	1528
2	2739	1323
done	5000	1309

prune450.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16
done	14	16

end0.0ms

sample2.7s

Algorithm

intervals

Results

967.0ms	5590×	body	80	valid
733.0ms	988×	body	1280	valid
371.0ms	835×	body	640	valid
232.0ms	376×	body	320	valid
41.0ms	211×	body	160	valid