Details

sample84.0ms

Algorithm

intervals

Results

26.0ms	181×	body	80	valid
24.0ms	30×	body	1280	valid
16.0ms	26×	body	640	valid
6.0ms	15×	body	320	valid
1.0ms	4×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify1.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	5003
4	888
3	174
2	50
1	35
0	23

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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

rewrite19.0ms

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 (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))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
259.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
240.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
290.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1283
1	371
0	137

prune589.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`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 → 59

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series965.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
230.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
251.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
225.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1023
1	297
0	117

prune566.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
11×	`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 → 65

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (cbrt (cbrt (fma (cos y) z (+ x (sin y))))))

series932.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
227.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
210.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
257.0ms	(cbrt (cbrt (cbrt (fma (cos y) z (+ x (sin y))))))

simplify2.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1495
1	426
0	166

prune591.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	951×	body	1280	valid
1.0s	5580×	body	80	valid
609.0ms	859×	body	640	valid
286.0ms	406×	body	320	valid
61.0ms	203×	body	160	valid
2.0ms	1×	body	2560	valid