Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	81×	body	1280	valid
7.0ms	24×	body	2560	valid
7.0ms	34×	body	640	valid
4.0ms	76×	body	80	valid
3.0ms	23×	body	320	valid
2.0ms	18×	body	160	valid

simplify421.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
13.0b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite81.0ms

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:

12.0ms	(+ (* x y) z)
68.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x y) z)
68.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.0s

Counts: 35 → 35

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 42.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
13.0b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite102.0ms

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:

16.0ms	(+ (* x y) z)
84.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify981.0ms

Counts: 35 → 35

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 42.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (pow (- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)))) 3))
3.7b	(- (* (* x y) (* x y)) (* z z))
14.0b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
30.0b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`difference-of-squares`
6×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube` `distribute-lft-out--`
5×	`flip3--` `flip--`
4×	`pow1` `associate-/l*`
3×	`diff-log` `associate-/r*` `distribute-lft-out`
2×	`cube-div` `sub-neg` `cbrt-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `associate-+r-` `frac-2neg` `pow1/3` `unpow3` `div-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `associate--r+` `associate--r-` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

625.0ms	(cbrt (pow (- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)))) 3))
30.0ms	(- (* (* x y) (* x y)) (* z z))
389.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
115.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series376.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (pow (- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)))) 3))
86.0ms	(- (* (* x y) (* x y)) (* z z))
97.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
80.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify1.2s

Counts: 108 → 108

prune550.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 42.3b

localize34.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (pow (+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z))) 3))
12.9b	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
18.2b	(/ (* z z) (- (* x y) z))
18.9b	(/ (* (* x y) (* x y)) (- (* x y) z))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
18×	`cbrt-prod`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
7×	`cbrt-undiv` `div-exp`
6×	`unpow-prod-down` `times-frac` `cube-prod` `associate-/r*` `distribute-lft-out--`
4×	`pow1` `cube-div` `cbrt-div` `flip3--` `associate-/r/` `flip--`
2×	`frac-2neg` `diff-log` `frac-add` `clear-num` `div-inv` `associate-/l*`
1×	`cube-mult` `sub-neg` `flip3-+` `pow1/3` `unpow3` `sum-log` `rem-cbrt-cube` `flip-+` `associate--r+` `difference-of-squares` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

922.0ms	(cbrt (pow (+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z))) 3))
135.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
38.0ms	(/ (* z z) (- (* x y) z))
51.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))

series323.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (pow (+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z))) 3))
97.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
76.0ms	(/ (* z z) (- (* x y) z))
59.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))

simplify1.2s

Counts: 112 → 112

prune445.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 42.3b

regimes447.0ms

Accuracy

0.1% (0.7b remaining)

Error of 45.1b against oracle of 44.3b and baseline of 45.1b

bsearch0.0ms

simplify641.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	2602×	body	1280	valid
466.0ms	1618×	body	640	valid
201.0ms	2107×	body	80	valid
179.0ms	585×	body	2560	valid
144.0ms	727×	body	320	valid
69.0ms	361×	body	160	valid