Details

sample60.0ms

Algorithm

intervals

Results

16.0ms	34×	body	1280	valid
12.0ms	178×	body	80	valid
8.0ms	25×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	8×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	21
1	13
0	8

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

21.0ms	(+ x (sin y))
2.0ms	(fma (cos y) z (+ x (sin y)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (sin y))
105.0ms	(fma (cos y) z (+ x (sin y)))

simplify3.5s

Counts

35 → 35

Iterations

Iter	Nodes
done	5021
4	2039
3	562
2	225
1	103
0	48

prune581.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite25.0ms

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:

17.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series2.3s

Counts

4 → 12

Calls

4 calls:

613.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
580.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
553.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
585.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify3.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1270
1	370
0	137

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize410.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
3.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
3.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
4.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series2.5s

Counts

4 → 12

Calls

4 calls:

603.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
637.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
597.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
660.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify4.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5020
3	2729
2	573
1	177
0	71

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (* (sin y) (sin y)))
0.2b	(* (sin y) (sin y))
0.2b	(* (sin y) (sin y))
27.6b	(/ (fma x (* x x) (* (sin y) (* (sin y) (sin y)))) (+ (* x x) (- (* (sin y) (sin y)) (* x (sin y)))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac` `associate-l`
7×	`associate-r` `pow-prod-up`
6×	`swap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `associate-/r` `pow-plus` `pow-sqr` `-commutative` `sin-mult` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `sqr-sin`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `cube-unmult` `div-exp` `associate-*r/` `flip-+` `div-inv`

Counts

4 → 120

Calls

4 calls:

53.0ms	(* (sin y) (* (sin y) (sin y)))
18.0ms	(* (sin y) (sin y))
19.0ms	(* (sin y) (sin y))
61.0ms	(/ (fma x (* x x) (* (sin y) (* (sin y) (sin y)))) (+ (* x x) (- (* (sin y) (sin y)) (* x (sin y)))))

series372.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (sin y) (* (sin y) (sin y)))
37.0ms	(* (sin y) (sin y))
55.0ms	(* (sin y) (sin y))
207.0ms	(/ (fma x (* x x) (* (sin y) (* (sin y) (sin y)))) (+ (* x x) (- (* (sin y) (sin y)) (* x (sin y)))))

simplify5.0s

Counts

132 → 132

Iterations

Iter	Nodes
done	5012
3	3407
2	1057
1	349
0	151

prune1.4s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes565.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	5567×	body	80	valid
830.0ms	992×	body	1280	valid
502.0ms	829×	body	640	valid
166.0ms	403×	body	320	valid
45.0ms	209×	body	160	valid