Details

sample109.0ms

Algorithm

intervals

Results

42.0ms	50×	body	1280	valid
21.0ms	38×	body	640	valid
16.0ms	138×	body	80	valid
7.0ms	18×	body	320	valid
3.0ms	12×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

0.0ms	(fma (sin y) z (* x (cos y)))
13.0ms	(* x (cos y))

series176.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(fma (sin y) z (* x (cos y)))
69.0ms	(* x (cos y))

simplify4.0s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	2152
3	621
2	211
1	91
0	50

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite24.0ms

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:

19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series647.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
136.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))
116.0ms	(cbrt (cos y))

simplify4.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4766
3	1197
2	374
1	149
0	68

prune661.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 95

Calls

4 calls:

14.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
59.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
12.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series353.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
52.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
21.0ms	(* (cos y) (cos y))
150.0ms	(cbrt (cos y))

simplify2.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	3686
2	1018
1	347
0	135

prune772.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l` `cos-mult`
5×	`associate-*l/`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow-prod-down`
2×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow3` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`frac-times` `associate-*r/` `rem-cbrt-cube`

Counts

4 → 86

Calls

4 calls:

8.0ms	(* (cos y) (cos y))
15.0ms	(* (cos y) (cos y))
149.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))
2.0ms	(cbrt (cos y))

series248.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cos y) (cos y))
19.0ms	(* (cos y) (cos y))
30.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))
173.0ms	(cbrt (cos y))

simplify4.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
4	4657
3	1531
2	564
1	198
0	87

prune754.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes372.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	1545×	body	1280	valid
892.0ms	4243×	body	80	valid
725.0ms	1234×	body	640	valid
361.0ms	659×	body	320	valid
69.0ms	319×	body	160	valid