Details

sample81.0ms

Algorithm

intervals

Results

30.0ms	58×	body	1280	valid
16.0ms	46×	body	640	valid
10.0ms	113×	body	80	valid
7.0ms	28×	body	320	valid
2.0ms	11×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune50.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x (cos y) (* z (sin y)))
20.0ms	(* z (sin y))

series195.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(fma x (cos y) (* z (sin y)))
75.0ms	(* z (sin y))

simplify3.5s

Counts

36 → 36

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	49	269
1	83	264
2	165	232
3	321	232
4	755	232
5	3025	232
done	5000	232

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite17.0ms

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:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

327.0ms	(* (cbrt z) (cbrt z))
293.0ms	(cbrt z)
295.0ms	(cbrt z)
327.0ms	(cbrt z)

simplify4.6s

Counts

93 → 93

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune434.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite8.0ms

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

series1.1s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt z)
270.0ms	(cbrt z)
256.0ms	(cbrt z)
276.0ms	(cbrt z)

simplify2.2s

Counts

64 → 64

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	162	232
4	407	232
5	1333	232
done	5000	232

prune443.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt z) (sin y))
0.3b	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
0.7b	(cbrt z)
30.5b	(cbrt (* z z))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log`
10×	`associate-l`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

12.0ms	(* (cbrt z) (sin y))
48.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z z))

series831.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt z) (sin y))
57.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
318.0ms	(cbrt z)
309.0ms	(cbrt (* z z))

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: 3 (759.0ms)

Iter	Nodes	Cost
0	97	621
1	192	594
2	562	542
3	2035	526
done	5000	526

prune451.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.2s	1451×	body	1280	valid
1.2s	1281×	body	640	valid
676.0ms	658×	body	320	valid
613.0ms	4300×	body	80	valid
120.0ms	310×	body	160	valid