Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

265×

body

valid

simplify34.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

8.0ms	(- (* t z) x)
8.0ms	(- (* y z) x)
129.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
29.0ms	(/ (- (* y z) x) (- (* t z) x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* t z) x)
24.0ms	(- (* y z) x)
132.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
61.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify39.0ms

Counts: 109 → 109

prune274.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0)) (/ (/ x (- (* t z) x)) (+ x 1.0)))
0.3b	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
3.3b	(/ x (- (* t z) x))
13.4b	(/ (* y z) (- (* t z) x))

rewrite508.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
61×	`times-frac`
49×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
24×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
10×	`associate-/r*` `associate-/r/`
8×	`associate-/l*`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`flip3--` `distribute-rgt-out--` `frac-2neg` `clear-num` `flip--`
2×	`associate-/l/`
1×	`sub-neg` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 128

Calls

4 calls:

374.0ms	(- (/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0)) (/ (/ x (- (* t z) x)) (+ x 1.0)))
96.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
14.0ms	(/ x (- (* t z) x))
19.0ms	(/ (* y z) (- (* t z) x))

series376.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(- (/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0)) (/ (/ x (- (* t z) x)) (+ x 1.0)))
91.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
64.0ms	(/ x (- (* t z) x))
38.0ms	(/ (* y z) (- (* t z) x))

simplify52.0ms

Counts: 140 → 140

prune355.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
2.6b	(/ y (/ (- (* t z) x) z))
3.3b	(/ x (- (* t z) x))
9.7b	(/ (- (* t z) x) z)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

109×	`times-frac`
92×	`*-un-lft-identity`
72×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
10×	`distribute-lft-out`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`div-sub`

Counts

4 → 169

Calls

4 calls:

109.0ms	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
20.0ms	(/ y (/ (- (* t z) x) z))
14.0ms	(/ x (- (* t z) x))
19.0ms	(/ (- (* t z) x) z)

series241.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
41.0ms	(/ y (/ (- (* t z) x) z))
67.0ms	(/ x (- (* t z) x))
39.0ms	(/ (- (* t z) x) z)

simplify71.0ms

Counts: 181 → 181

prune555.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ x (/ y (- (/ t 1) (/ x z)))) (+ x 1.0)) (/ (/ x (- (* t z) x)) (+ x 1.0)))
0.3b	(/ (+ x (/ y (- (/ t 1) (/ x z)))) (+ x 1.0))
2.6b	(/ y (- (/ t 1) (/ x z)))
3.3b	(/ x (- (* t z) x))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
131×	`add-sqr-sqrt`
127×	`times-frac`
42×	`add-cube-cbrt`
30×	`difference-of-squares`
24×	`distribute-lft-out`
21×	`distribute-lft-out--`
18×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`add-log-exp`
5×	`div-inv`
4×	`pow1` `flip3-+` `flip-+`
3×	`cbrt-undiv` `flip3--` `distribute-rgt-out--` `frac-2neg` `div-exp` `clear-num` `flip--`
2×	`frac-sub` `associate-/l/`
1×	`sub-neg` `diff-log` `sub-div`

Counts

4 → 167

Calls

4 calls:

854.0ms	(- (/ (+ x (/ y (- (/ t 1) (/ x z)))) (+ x 1.0)) (/ (/ x (- (* t z) x)) (+ x 1.0)))
229.0ms	(/ (+ x (/ y (- (/ t 1) (/ x z)))) (+ x 1.0))
47.0ms	(/ y (- (/ t 1) (/ x z)))
14.0ms	(/ x (- (* t z) x))

series365.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(- (/ (+ x (/ y (- (/ t 1) (/ x z)))) (+ x 1.0)) (/ (/ x (- (* t z) x)) (+ x 1.0)))
86.0ms	(/ (+ x (/ y (- (/ t 1) (/ x z)))) (+ x 1.0))
40.0ms	(/ y (- (/ t 1) (/ x z)))
61.0ms	(/ x (- (* t z) x))

simplify76.0ms

Counts: 179 → 179

prune480.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes122.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample990.0ms

Algorithm

intervals

Results

631.0ms

8343×

body

valid