Details

sample88.0ms

Algorithm

intervals

Results

33.0ms	45×	body	1280	valid
17.0ms	138×	body	80	valid
16.0ms	39×	body	640	valid
7.0ms	21×	body	320	valid
3.0ms	13×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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))

rewrite53.0ms

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×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 59

Calls

3 calls:

10.0ms	(- (* x (cos y)) (* z (sin y)))
26.0ms	(* x (cos y))
15.0ms	(* z (sin y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* x (cos y)) (* z (sin y)))
52.0ms	(* x (cos y))
48.0ms	(* z (sin y))

simplify1.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5004
3	1654
2	470
1	203
0	94

prune397.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`neg-sub0` `+-commutative` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 61

Calls

3 calls:

17.0ms	(+ (* x (cos y)) (- (* z (sin y))))
9.0ms	(* x (cos y))
11.0ms	(* z (sin y))

series186.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* x (cos y)) (- (* z (sin y))))
41.0ms	(* x (cos y))
59.0ms	(* z (sin y))

simplify4.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	2798
2	737
1	234
0	96

prune387.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

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))

rewrite26.0ms

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:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
8.0ms	(cbrt (cos y))

series650.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
148.0ms	(cbrt (cos y))
149.0ms	(cbrt (cos y))
115.0ms	(cbrt (cos y))

simplify3.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4560
3	1176
2	391
1	152
0	70

prune505.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite45.0ms

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` `insert-posit16` `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 → 70

Calls

4 calls:

28.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
145.0ms	(cbrt (* z (sin y)))
153.0ms	(cbrt (* z (sin y)))
164.0ms	(cbrt (* z (sin y)))

simplify2.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	4664
3	1514
2	545
1	217
0	93

prune472.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
2	22
1	20
0	12

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s	1487×	body	1280	valid
542.0ms	1246×	body	640	valid
525.0ms	4301×	body	80	valid
261.0ms	620×	body	320	valid
110.0ms	346×	body	160	valid