Details

sample97.0ms

Algorithm

intervals

Results

35.0ms	49×	body	1280	valid
21.0ms	39×	body	640	valid
15.0ms	137×	body	80	valid
12.0ms	23×	body	320	valid
2.0ms	8×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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

series225.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* x (cos y)) (* z (sin y)))
61.0ms	(* z (sin y))
62.0ms	(* x (cos y))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	1791
2	524
1	204
0	94

prune390.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

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` `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:

14.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series591.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
131.0ms	(cbrt (sin y))
133.0ms	(cbrt (sin y))
155.0ms	(cbrt (sin y))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	1352
2	474
1	182
0	81

prune515.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite22.0ms

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:

16.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt z) (cbrt z))
274.0ms	(cbrt z)
276.0ms	(cbrt z)
285.0ms	(cbrt z)

simplify3.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4657
3	1110
2	364
1	141
0	67

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.4b	(cbrt (* z (sin y)))
7.4b	(cbrt (* z (sin y)))
7.4b	(cbrt (* z (sin y)))

rewrite64.0ms

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:

38.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
175.0ms	(cbrt (* z (sin y)))
173.0ms	(cbrt (* z (sin y)))
163.0ms	(cbrt (* z (sin y)))

simplify3.0s

Counts

82 → 82

Iterations

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

prune555.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes213.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	1481×	body	1280	valid
1.3s	1252×	body	640	valid
1.0s	4324×	body	80	valid
358.0ms	629×	body	320	valid
119.0ms	314×	body	160	valid