Details

sample98.0ms

Algorithm

intervals

Results

38.0ms	48×	body	1280	valid
20.0ms	46×	body	640	valid
11.0ms	128×	body	80	valid
8.0ms	26×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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 (sin y) z (* x (cos y)))
14.0ms	(* x (cos y))

series232.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(fma (sin y) z (* x (cos y)))
86.0ms	(* x (cos y))

simplify5.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4857
3	1134
2	275
1	91
0	50

prune215.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series612.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
138.0ms	(cbrt (cos y))
126.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune554.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* (cos y) (cos y)) 1/3)
0.2b	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
21×	`pow1`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`associate-r`
6×	`cbrt-prod` `pow-pow` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `swap-sqr` `pow-prod-down`
2×	`pow2` `pow-to-exp` `pow-plus` `unpow1/3` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sqr-cos` `unpow-prod-down` `pow1/3` `cos-mult` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

17.0ms	(pow (* (cos y) (cos y)) 1/3)
36.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
16.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series494.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(pow (* (cos y) (cos y)) 1/3)
47.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
23.0ms	(* (cos y) (cos y))
134.0ms	(cbrt (cos y))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2376
1	369
0	136

prune654.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`cbrt-prod` `swap-sqr` `associate-r` `associate-l`
1×	`pow2` `sqr-cos` `log1p-udef` `expm1-log1p` `pow-plus` `pow1/3` `pow-prod-down` `prod-exp` `log1p-expm1` `pow-sqr` `cos-mult` `*-commutative` `pow-prod-up` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

0.0ms	(log1p (expm1 (cbrt (cos y))))
10.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series793.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(log1p (expm1 (cbrt (cos y))))
32.0ms	(* (cos y) (cos y))
129.0ms	(cbrt (cos y))
312.0ms	(expm1 (cbrt (cos y)))

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1299
1	228
0	98

prune526.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes305.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1515×	body	1280	valid
1.1s	1236×	body	640	valid
602.0ms	4303×	body	80	valid
239.0ms	624×	body	320	valid
67.0ms	322×	body	160	valid