Details

sample55.0ms

Algorithm

intervals

Results

23.0ms	85×	body	1280	valid
6.0ms	42×	body	640	valid
5.0ms	21×	body	2560	valid
3.0ms	26×	body	320	valid
3.0ms	70×	body	80	valid
1.0ms	12×	body	160	valid

simplify359.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
14.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`*-un-lft-identity`
6×	`sum-log`
4×	`add-sqr-sqrt`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

2 → 32

Calls

2 calls:

22.0ms	(+ 1.0 (+ (* x y) z))
104.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ 1.0 (+ (* x y) z))
57.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.1s

Counts: 38 → 38

prune131.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
14.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
14.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
14.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
21×	`*-un-lft-identity`
12×	`sum-log`
10×	`add-sqr-sqrt`
9×	`diff-log`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out`
3×	`sub-neg` `flip3--` `flip--` `associate--r+` `difference-of-squares`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 68

Calls

4 calls:

29.0ms	(+ 1.0 (+ (* x y) z))
87.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
77.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
69.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ 1.0 (+ (* x y) z))
77.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
50.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
55.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.2s

Counts: 80 → 80

prune385.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.5b

localize22.0ms

Local error

Found 4 expressions with local error:

11.1b	(cbrt (+ 1.0 (+ (* x y) z)))
11.1b	(cbrt (+ 1.0 (+ (* x y) z)))
11.1b	(cbrt (+ 1.0 (+ (* x y) z)))
35.0b	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

27.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
16.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
22.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
10.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

series806.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
241.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
277.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
46.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

simplify1.3s

Counts: 66 → 66

prune462.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 44.4b

localize47.0ms

Local error

Found 4 expressions with local error:

11.1b	(cbrt (+ 1.0 (+ (* x y) z)))
35.0b	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))
35.0b	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))
35.0b	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 50

Calls

4 calls:

24.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
5.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))
5.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))
11.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

series448.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
50.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))
78.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))
71.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

simplify1.2s

Counts: 62 → 62

prune359.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 44.4b

regimes585.0ms

Accuracy

-0.5% (0.7b remaining)

Error of 45.5b against oracle of 44.8b and baseline of 45.5b

bsearch0.0ms

simplify824.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2702×	body	1280	valid
487.0ms	1531×	body	640	valid
273.0ms	602×	body	2560	valid
154.0ms	755×	body	320	valid
109.0ms	2060×	body	80	valid
34.0ms	350×	body	160	valid