Details

sample127.0ms

Algorithm

intervals

Results

56.0ms	46×	body	1280	valid
25.0ms	45×	body	640	valid
17.0ms	144×	body	80	valid
5.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

8.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
7.0ms	(* z (sin y))

series238.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(- (* x (cos y)) (* z (sin y)))
41.0ms	(* x (cos y))
76.0ms	(* z (sin y))

simplify2.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	3626
2	639
1	202
0	91

prune387.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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))

rewrite14.0ms

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)
10.0ms	(* (cbrt x) (cbrt x))

series1.3s

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt x)
287.0ms	(cbrt x)
310.0ms	(cbrt x)
347.0ms	(* (cbrt x) (cbrt x))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	711
1	142
0	65

prune674.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

16.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
3.0ms	(cbrt (* x (cos y)))
3.0ms	(cbrt (* x (cos y)))
3.0ms	(cbrt (* x (cos y)))

series758.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
161.0ms	(cbrt (* x (cos y)))
174.0ms	(cbrt (* x (cos y)))
191.0ms	(cbrt (* x (cos y)))

simplify915.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	819
1	205
0	85

prune586.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
0.2b	(* (* z (sin y)) (* z (sin y)))
33.0b	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

8.0ms	(* z (sin y))
114.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
26.0ms	(* (* z (sin y)) (* z (sin y)))
108.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* z (sin y))
121.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
85.0ms	(* (* z (sin y)) (* z (sin y)))
54.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

simplify1.8s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	2054
1	351
0	122

prune647.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes522.0ms

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	10
1	10
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	1527×	body	1280	valid
1.0s	4233×	body	80	valid
590.0ms	1289×	body	640	valid
259.0ms	628×	body	320	valid
141.0ms	323×	body	160	valid