Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	74×	body	1280	valid
7.0ms	58×	body	640	valid
4.0ms	19×	body	2560	valid
3.0ms	29×	body	320	valid
3.0ms	69×	body	80	valid
0.0ms	7×	body	160	valid

simplify431.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

8.0ms	(+ (* x y) z)
80.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x y) z)
46.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.0s

Counts: 35 → 35

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.6b

localize30.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (+ (* x y) z))
6.3b	(cbrt (+ (* x y) z))
6.3b	(cbrt (+ (* x y) z))
33.1b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
14.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (+ (* x y) z))
151.0ms	(cbrt (+ (* x y) z))
179.0ms	(cbrt (+ (* x y) z))
57.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.0s

Counts: 67 → 67

prune445.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 44.4b

localize61.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (+ (* x y) z))
33.1b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
33.1b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
33.1b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
11×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`diff-log`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-prod` `sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 61

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) z))
25.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
27.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
35.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (+ (* x y) z))
66.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
64.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
57.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify918.0ms

Counts: 73 → 73

prune592.0ms

Pruning

23 alts after pruning (20 fresh and 3 done)

Merged error: 44.4b

localize61.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (+ (* x y) z))
6.3b	(cbrt (+ (* x y) z))
6.3b	(cbrt (+ (* x y) z))
32.7b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
27.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series618.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (+ (* x y) z))
194.0ms	(cbrt (+ (* x y) z))
172.0ms	(cbrt (+ (* x y) z))
71.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify1.3s

Counts: 67 → 67

prune375.0ms

Pruning

27 alts after pruning (24 fresh and 3 done)

Merged error: 44.4b

regimes741.0ms

Accuracy

0% (0.7b remaining)

Error of 45.2b against oracle of 44.5b and baseline of 45.2b

bsearch0.0ms

simplify421.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	2631×	body	1280	valid
338.0ms	1579×	body	640	valid
260.0ms	2088×	body	80	valid
254.0ms	609×	body	2560	valid
100.0ms	745×	body	320	valid
33.0ms	348×	body	160	valid