Details

sample65.0ms

Algorithm

intervals

Results

38.0ms

459×

body

valid

simplify783.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize18.0ms

Local error

Found 2 expressions with local error:

5.0b	(- (+ (* x x) (* y y)) (* z z))
27.1b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite157.0ms

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:

56.0ms	(- (+ (* x x) (* y y)) (* z z))
98.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series138.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (+ (* x x) (* y y)) (* z z))
92.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify492.0ms

Counts: 47 → 47

prune171.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 8.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
6.6b	(/ (pow x 2) y)
10.4b	(/ (pow z 2) y)

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
49×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
37×	`add-cube-cbrt`
25×	`unpow-prod-down`
16×	`associate-/l*`
13×	`add-exp-log`
9×	`unpow2` `sqr-pow`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `diff-log` `pow-exp` `clear-num` `frac-sub` `div-inv` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 121

Calls

3 calls:

223.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.0ms	(/ (pow x 2) y)
14.0ms	(/ (pow z 2) y)

series113.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
25.0ms	(/ (pow x 2) y)
35.0ms	(/ (pow z 2) y)

simplify627.0ms

Counts: 130 → 130

prune328.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (* (fabs z) (/ (fabs z) y)))
0.1b	(* (fabs z) (/ (fabs z) y))
6.6b	(/ (pow x 2) y)

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r`
12×	`unpow-prod-down`
10×	`add-cbrt-cube`
8×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`div-exp` `unpow2` `sqr-pow`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `pow-prod-down` `pow-exp` `associate--l+` `clear-num` `sum-log` `*-commutative` `flip--` `flip-+`

Counts

3 → 97

Calls

3 calls:

214.0ms	(- (+ y (/ (pow x 2) y)) (* (fabs z) (/ (fabs z) y)))
30.0ms	(* (fabs z) (/ (fabs z) y))
15.0ms	(/ (pow x 2) y)

series102.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (+ y (/ (pow x 2) y)) (* (fabs z) (/ (fabs z) y)))
26.0ms	(* (fabs z) (/ (fabs z) y))
21.0ms	(/ (pow x 2) y)

simplify786.0ms

Counts: 106 → 106

prune433.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* (fabs z) (/ (fabs z) y)))
0.1b	(/ (pow x (/ 2 2)) (/ y x))
0.1b	(* (fabs z) (/ (fabs z) y))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
100×	`add-sqr-sqrt`
95×	`add-cube-cbrt` `*-un-lft-identity`
42×	`unpow-prod-down`
21×	`add-exp-log`
14×	`sqr-pow`
13×	`associate-r` `associate-/r*` `add-cbrt-cube`
10×	`div-exp` `div-inv`
8×	`add-log-exp`
7×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
3×	`associate-r/` `associate-l*`
2×	`pow-to-exp` `diff-log` `pow-exp` `prod-exp` `frac-sub` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `clear-num` `sum-log` `associate-/r/` `*-commutative` `flip--` `flip-+`

Counts

3 → 178

Calls

3 calls:

433.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* (fabs z) (/ (fabs z) y)))
14.0ms	(/ (pow x (/ 2 2)) (/ y x))
19.0ms	(* (fabs z) (/ (fabs z) y))

series100.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* (fabs z) (/ (fabs z) y)))
25.0ms	(/ (pow x (/ 2 2)) (/ y x))
24.0ms	(* (fabs z) (/ (fabs z) y))

simplify1.5s

Counts: 187 → 187

prune708.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.6s

Algorithm

intervals

Results

998.0ms

13756×

body

valid