Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

420×

body

valid

simplify722.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize18.0ms

Local error

Found 2 expressions with local error:

4.9b	(- (+ (* x x) (* y y)) (* z z))
26.4b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube` `add-log-exp`
4×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
3×	`difference-of-squares`
2×	`pow1` `cbrt-undiv` `flip3--` `diff-log` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `div-sub` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `div-inv`

Counts

2 → 41

Calls

2 calls:

50.0ms	(- (+ (* x x) (* y y)) (* z z))
137.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series141.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (+ (* x x) (* y y)) (* z z))
93.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify438.0ms

Counts: 47 → 47

prune144.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 12.5b

localize18.0ms

Local error

Found 2 expressions with local error:

10.9b	(/ (pow x 2) y)
11.0b	(/ (pow z 2) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
16×	`associate-/l*`
12×	`add-exp-log`
8×	`unpow2` `sqr-pow`
6×	`div-exp` `associate-/r*` `add-cbrt-cube`
2×	`pow1` `cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `add-log-exp`

Counts

2 → 98

Calls

2 calls:

14.0ms	(/ (pow x 2) y)
14.0ms	(/ (pow z 2) y)

series61.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (pow x 2) y)
34.0ms	(/ (pow z 2) y)

simplify1.7s

Counts: 104 → 104

prune348.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (/ x y))
11.0b	(/ (pow z 2) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
32×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`add-exp-log` `unpow-prod-down`
9×	`add-cbrt-cube`
8×	`associate-/l*`
4×	`pow1` `div-exp` `unpow2` `sqr-pow`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`pow-to-exp` `frac-2neg` `associate-r/` `pow-prod-down` `pow-exp` `clear-num` `-commutative`

Counts

2 → 81

Calls

2 calls:

23.0ms	(* x (/ x y))
12.0ms	(/ (pow z 2) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (/ x y))
31.0ms	(/ (pow z 2) y)

simplify562.0ms

Counts: 87 → 87

prune217.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* z (/ z y))
0.2b	(* x (/ x y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`associate-r`
20×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 64

Calls

2 calls:

14.0ms	(* z (/ z y))
20.0ms	(* x (/ x y))

series55.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* z (/ z y))
28.0ms	(* x (/ x y))

simplify1.1s

Counts: 70 → 70

prune185.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes106.0ms

Accuracy

74.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.6s

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

13522×

body

valid