Details

sample129.0ms

Algorithm

intervals

Results

59.0ms	56×	body	1280	valid
21.0ms	141×	body	80	valid
21.0ms	31×	body	640	valid
10.0ms	23×	body	320	valid
2.0ms	5×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 57

Calls

3 calls:

9.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
9.0ms	(* z (cos y))

series178.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* x (sin y)) (* z (cos y)))
41.0ms	(* x (sin y))
49.0ms	(* z (cos y))

simplify920.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2000
3	1987
2	562
1	209
0	90

prune324.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite29.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

21.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series692.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
153.0ms	(cbrt (cos y))
162.0ms	(cbrt (cos y))
138.0ms	(cbrt (cos y))

simplify914.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2024
3	1176
2	391
1	152
0	70

prune557.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 92

Calls

4 calls:

16.0ms	(* x (sin y))
70.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
10.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series304.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (sin y))
49.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
156.0ms	(cbrt (cos y))

simplify887.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
2	1213
1	356
0	146

prune669.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r`
5×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `cos-mult`
2×	`cbrt-div` `pow1/3` `*-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `associate-*r/` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

28.0ms	(* (* (cbrt (cos y)) z) (cbrt (* (cos y) (cos y))))
10.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))
5.0ms	(cbrt (* (cos y) (cos y)))

series903.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (cbrt (cos y)) z) (cbrt (* (cos y) (cos y))))
35.0ms	(* (cos y) (cos y))
130.0ms	(cbrt (cos y))
685.0ms	(cbrt (* (cos y) (cos y)))

simplify724.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2002
2	865
1	306
0	122

prune555.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	15

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.9s	1557×	body	1280	valid
1.3s	4311×	body	80	valid
967.0ms	1179×	body	640	valid
377.0ms	652×	body	320	valid
101.0ms	301×	body	160	valid