Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	91×	body	1280	valid
12.0ms	54×	body	640	valid
6.0ms	16×	body	2560	valid
4.0ms	67×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	11×	body	160	valid

simplify407.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.9b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite96.0ms

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:

9.0ms	(+ (* x y) z)
87.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) z)
72.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.1s

Counts: 35 → 35

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.5b

localize23.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (+ (* x y) z))
8.2b	(cbrt (+ (* x y) z))
8.2b	(cbrt (+ (* x y) z))
35.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite50.0ms

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:

11.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))
15.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (+ (* x y) z))
142.0ms	(cbrt (+ (* x y) z))
185.0ms	(cbrt (+ (* x y) z))
64.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify877.0ms

Counts: 67 → 67

prune510.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 44.3b

localize43.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (+ (* x y) z))
8.2b	(cbrt (+ (* x y) z))
8.2b	(cbrt (+ (* x y) z))
35.3b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite73.0ms

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:

11.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))
20.0ms	(cbrt (+ (* x y) z))
29.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ (* x y) z))
173.0ms	(cbrt (+ (* x y) z))
179.0ms	(cbrt (+ (* x y) z))
77.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify1.1s

Counts: 67 → 67

prune571.0ms

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 44.3b

localize44.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (+ (* x y) z))
8.2b	(cbrt (+ (* x y) z))
8.2b	(cbrt (+ (* x y) z))
35.3b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite37.0ms

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

series633.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (+ (* x y) z))
154.0ms	(cbrt (+ (* x y) z))
190.0ms	(cbrt (+ (* x y) z))
84.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))) (cbrt (cbrt (+ (* x y) z)))))))

simplify1.4s

Counts: 67 → 67

prune501.0ms

Pruning

28 alts after pruning (26 fresh and 2 done)

Merged error: 44.3b

regimes742.0ms

Accuracy

0% (0.7b remaining)

Error of 45.3b against oracle of 44.5b and baseline of 45.3b

bsearch0.0ms

simplify388.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

757.0ms	2675×	body	1280	valid
548.0ms	2070×	body	80	valid
440.0ms	1540×	body	640	valid
167.0ms	610×	body	2560	valid
136.0ms	737×	body	320	valid
32.0ms	368×	body	160	valid