Details

sample135.0ms

Algorithm

intervals

Results

47.0ms	42×	body	640	valid
44.0ms	53×	body	1280	valid
13.0ms	127×	body	80	valid
9.0ms	25×	body	320	valid
2.0ms	9×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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)))
7.0ms	(* x (cos y))

series509.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(fma (sin y) z (* x (cos y)))
416.0ms	(* x (cos y))

simplify5.3s

Counts

36 → 36

Iterations

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

prune245.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

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))

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))

series683.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
118.0ms	(cbrt (cos y))
166.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune605.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
0.4b	(cbrt (* (cos y) (cos y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

56.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
15.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
8.0ms	(cbrt (* (cos y) (cos y)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
24.0ms	(* (cos y) (cos y))
135.0ms	(cbrt (cos y))
236.0ms	(cbrt (* (cos y) (cos y)))

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	2026
1	302
0	118

prune675.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
0.4b	(cbrt (* (cos y) (cos y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

36.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
16.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
8.0ms	(cbrt (* (cos y) (cos y)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
20.0ms	(* (cos y) (cos y))
140.0ms	(cbrt (cos y))
241.0ms	(cbrt (* (cos y) (cos y)))

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1572
1	264
0	113

prune749.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes337.0ms

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

sample4.3s

Algorithm

intervals

Results

2.2s	1456×	body	1280	valid
708.0ms	1264×	body	640	valid
574.0ms	4318×	body	80	valid
349.0ms	618×	body	320	valid
139.0ms	344×	body	160	valid