Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	39×	body	1280	valid
9.0ms	168×	body	80	valid
8.0ms	32×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify134.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	37	9
4	53	9
5	64	9
6	77	9
7	90	9
8	107	9
9	121	9
10	144	9
11	164	9
done	164	9

prune2.0ms

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)))
0.2b	(* z (sin y))

rewrite30.0ms

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:

25.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))

simplify1.2s

Counts

50 → 50

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	82	511
1	177	491
2	470	461
3	1720	432
done	5000	428

prune152.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite10.0ms

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:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series761.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (cbrt z) (cbrt z))
186.0ms	(cbrt z)
179.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify3.2s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune293.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
3.0ms	(pow (cbrt (cbrt z)) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (cbrt z))
250.0ms	(cbrt (cbrt z))
248.0ms	(cbrt (cbrt z))
304.0ms	(pow (cbrt (cbrt z)) 4)

simplify1.8s

Counts

86 → 86

Iterations

Useful iterations: 4 (480.0ms)

Iter	Nodes	Cost
0	74	605
1	147	549
2	282	545
3	662	519
4	2449	505
done	5000	505

prune364.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (sin y) (- z) (pow (cbrt (+ x (cos y))) 3))
0.4b	(cbrt (+ x (cos y)))
0.6b	(pow (cbrt (+ x (cos y))) 3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `cbrt-div`
3×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`cube-div` `pow-pow` `flip3-+` `pow1/3` `flip-+`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `fma-udef` `rem-cube-cbrt` `sqr-pow`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma (sin y) (- z) (pow (cbrt (+ x (cos y))) 3))
2.0ms	(cbrt (+ x (cos y)))
6.0ms	(pow (cbrt (+ x (cos y))) 3)

series272.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(fma (sin y) (- z) (pow (cbrt (+ x (cos y))) 3))
77.0ms	(cbrt (+ x (cos y)))
91.0ms	(pow (cbrt (+ x (cos y))) 3)

simplify556.0ms

Counts

71 → 71

Iterations

Useful iterations: done (554.0ms)

Iter	Nodes	Cost
0	138	973
1	349	768
2	1069	707
done	5000	684

prune228.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

402.0ms	971×	body	1280	valid
276.0ms	5546×	body	80	valid
219.0ms	875×	body	640	valid
72.0ms	402×	body	320	valid
24.0ms	206×	body	160	valid