Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

325×

body

valid

simplify135.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.5b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

13.0ms	(/ t (- 1.0 z))
57.0ms	(- (/ y z) (/ t (- 1.0 z)))
209.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series153.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ t (- 1.0 z))
39.0ms	(- (/ y z) (/ t (- 1.0 z)))
70.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify641.0ms

Counts: 98 → 98

prune292.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.7b	(/ 1 (/ (- 1.0 z) t))
4.5b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite562.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-sqr-sqrt`
170×	`times-frac`
126×	`*-un-lft-identity`
72×	`add-cube-cbrt`
36×	`difference-of-squares`
22×	`associate-/r*` `distribute-lft-out--`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
8×	`div-exp` `div-inv` `associate-/l*`
7×	`pow1`
6×	`add-log-exp`
4×	`cbrt-undiv`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l*` `flip--`
2×	`distribute-rgt-in` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `clear-num` `frac-sub` `associate-/l/`
1×	`pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 202

Calls

4 calls:

28.0ms	(/ (- 1.0 z) t)
104.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
21.0ms	(/ 1 (/ (- 1.0 z) t))
389.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- 1.0 z) t)
38.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
37.0ms	(/ 1 (/ (- 1.0 z) t))
74.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify1.2s

Counts: 214 → 214

prune575.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
5.4b	(/ (* x y) z)
6.1b	(/ (* t x) z)
13.2b	(/ (* t x) (pow z 2))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-cbrt-cube`
14×	`times-frac` `associate-/r*`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`div-exp`
6×	`cbrt-undiv` `unpow-prod-down` `add-log-exp`
5×	`prod-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`
1×	`+-commutative` `flip3-+` `associate-*r/` `frac-add` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

39.0ms	(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
11.0ms	(/ (* x y) z)
11.0ms	(/ (* t x) z)
19.0ms	(/ (* t x) (pow z 2))

series215.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
24.0ms	(/ (* x y) z)
35.0ms	(/ (* t x) z)
43.0ms	(/ (* t x) (pow z 2))

simplify881.0ms

Counts: 101 → 101

prune380.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
6.1b	(/ (* t x) z)
6.9b	(/ x (/ z y))
13.2b	(/ (* t x) (pow z 2))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log`
24×	`associate-/r*`
19×	`add-cbrt-cube`
11×	`div-exp`
7×	`cbrt-undiv` `div-inv`
6×	`unpow-prod-down` `add-log-exp`
5×	`associate-/l*`
4×	`pow1` `prod-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-to-exp` `pow-exp` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`+-commutative` `flip3-+` `associate-*r/` `frac-add` `sum-log` `associate-/r/` `flip-+`

Counts

4 → 138

Calls

4 calls:

39.0ms	(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
16.0ms	(/ (* t x) z)
10.0ms	(/ x (/ z y))
20.0ms	(/ (* t x) (pow z 2))

series239.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
36.0ms	(/ (* t x) z)
38.0ms	(/ x (/ z y))
45.0ms	(/ (* t x) (pow z 2))

simplify1.3s

Counts: 150 → 150

prune561.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

87.9% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 4.7b

bsearch2.0ms

simplify1.5s

end0.0ms

sample1.3s

Algorithm

intervals

Results

664.0ms

10070×

body

valid