Details

sample120.0ms

Algorithm

intervals

Results

41.0ms	46×	body	1280	valid
26.0ms	45×	body	640	valid
23.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	21
1	13
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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))

series191.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(fma (sin y) (- z) (* x (cos y)))
57.0ms	(* x (cos y))

simplify2.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	3094
3	927
2	253
1	95
0	51

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

116.0ms	(* (* (* x (cbrt (cos y))) (cbrt (cos y))) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series481.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (* x (cbrt (cos y))) (cbrt (cos y))) (cbrt (cos y)))
127.0ms	(cbrt (cos y))
144.0ms	(cbrt (cos y))
158.0ms	(cbrt (cos y))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1101
1	179
0	70

prune575.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

rewrite20.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(* (cbrt x) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt x)
325.0ms	(cbrt x)
251.0ms	(cbrt x)
280.0ms	(* (cbrt x) (cbrt x))

simplify958.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	711
1	142
0	65

prune577.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`pow1` `associate-r`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (cos y))
0.0ms	(fma (sin y) (- z) (* (* x (sqrt (cos y))) (sqrt (cos y))))
9.0ms	(* x (sqrt (cos y)))
32.0ms	(* (* x (sqrt (cos y))) (sqrt (cos y)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (cos y))
155.0ms	(fma (sin y) (- z) (* (* x (sqrt (cos y))) (sqrt (cos y))))
94.0ms	(* x (sqrt (cos y)))
64.0ms	(* (* x (sqrt (cos y))) (sqrt (cos y)))

simplify785.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	957
1	202
0	93

prune542.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes285.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.5s	4233×	body	80	valid
1.3s	1527×	body	1280	valid
739.0ms	1289×	body	640	valid
192.0ms	628×	body	320	valid
118.0ms	323×	body	160	valid