Details

sample110.0ms

Algorithm

intervals

Results

41.0ms	51×	body	1280	valid
28.0ms	47×	body	640	valid
14.0ms	127×	body	80	valid
8.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify8.0ms

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

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (sin y) (- z) (* x (cos y)))
14.0ms	(* x (cos y))

series215.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(fma (sin y) (- z) (* x (cos y)))
96.0ms	(* x (cos y))

simplify2.1s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	3094
3	927
2	253
1	95
0	51

prune247.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

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` `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:

17.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt x) (cbrt x))
256.0ms	(cbrt x)
277.0ms	(cbrt x)
340.0ms	(cbrt x)

simplify1.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune551.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt x)
378.0ms	(cbrt (cbrt x))
365.0ms	(cbrt (cbrt x))
377.0ms	(cbrt (cbrt x))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	2403
3	656
2	193
1	81
0	46

prune673.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:

9.0ms	(* (cbrt (fma (- (sin y)) z (* x (cos y)))) (cbrt (fma (- (sin y)) z (* x (cos y)))))
1.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
1.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
1.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (cbrt (fma (- (sin y)) z (* x (cos y)))) (cbrt (fma (- (sin y)) z (* x (cos y)))))
279.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
236.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
276.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))

simplify864.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	914
1	240
0	102

prune844.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1474×	body	1280	valid
1.1s	4319×	body	80	valid
688.0ms	1304×	body	640	valid
237.0ms	606×	body	320	valid
115.0ms	297×	body	160	valid