Details

sample45.0ms

Algorithm

intervals

Results

19.0ms

299×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2777
7	1059
6	442
5	225
4	132
3	72
2	46
1	24
0	13

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

8.0ms	(/ (* y z) 2.0)
15.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
72.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series176.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (* y z) 2.0)
76.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
68.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify738.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1211
1	289
0	110

prune341.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ x (/ 8.0 1.0)) (/ z (/ 2.0 y)))
0.0b	(+ t (- (/ x (/ 8.0 1.0)) (/ z (/ 2.0 y))))
0.2b	(/ z (/ 2.0 y))

rewrite511.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
81×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
45×	`add-cube-cbrt`
13×	`associate-/r*`
10×	`add-log-exp`
9×	`difference-of-squares`
8×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`distribute-lft-out--`
3×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `distribute-lft-out`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `flip3--` `associate-/r/` `frac-sub` `flip-+` `flip--`

Counts

3 → 112

Calls

3 calls:

105.0ms	(- (/ x (/ 8.0 1.0)) (/ z (/ 2.0 y)))
384.0ms	(+ t (- (/ x (/ 8.0 1.0)) (/ z (/ 2.0 y))))
15.0ms	(/ z (/ 2.0 y))

series217.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(- (/ x (/ 8.0 1.0)) (/ z (/ 2.0 y)))
83.0ms	(+ t (- (/ x (/ 8.0 1.0)) (/ z (/ 2.0 y))))
31.0ms	(/ z (/ 2.0 y))

simplify988.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	2225
1	582
0	234

prune742.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* (/ y (sqrt 2.0)) z) (sqrt 2.0))) t)
0.2b	(* (/ y (sqrt 2.0)) z)
0.4b	(/ (* (/ y (sqrt 2.0)) z) (sqrt 2.0))
0.5b	(/ y (sqrt 2.0))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
44×	`times-frac`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
28×	`sqrt-prod`
22×	`associate-l`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
9×	`add-log-exp`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-r` `div-inv` `unswap-sqr`
2×	`associate-+l+` `clear-num` `sum-log` `frac-2neg` `associate-*l/`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `associate-+l-` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 127

Calls

4 calls:

92.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* (/ y (sqrt 2.0)) z) (sqrt 2.0))) t)
34.0ms	(* (/ y (sqrt 2.0)) z)
13.0ms	(/ (* (/ y (sqrt 2.0)) z) (sqrt 2.0))
5.0ms	(/ y (sqrt 2.0))

series625.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* (/ y (sqrt 2.0)) z) (sqrt 2.0))) t)
96.0ms	(* (/ y (sqrt 2.0)) z)
178.0ms	(/ (* (/ y (sqrt 2.0)) z) (sqrt 2.0))
70.0ms	(/ y (sqrt 2.0))

simplify1.0s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	2112
1	442
0	182

prune790.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (sqrt (sqrt 2.0)))
0.2b	(* (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) z)
0.3b	(/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.4b	(/ (* (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) z) (sqrt 2.0))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

1143×	`sqrt-prod`
1125×	`times-frac`
629×	`add-sqr-sqrt`
582×	`*-un-lft-identity` `add-cube-cbrt`
283×	`associate-l`
35×	`associate-/l*`
34×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
23×	`div-inv`
14×	`cbrt-undiv` `div-exp`
13×	`unswap-sqr`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 732

Calls

4 calls:

11.0ms	(/ y (sqrt (sqrt 2.0)))
146.0ms	(* (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) z)
42.0ms	(/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
51.0ms	(/ (* (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) z) (sqrt 2.0))

series482.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ y (sqrt (sqrt 2.0)))
100.0ms	(* (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) z)
68.0ms	(/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
173.0ms	(/ (* (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) z) (sqrt 2.0))

simplify746.0ms

Counts

744 → 744

Iterations

Iter	Nodes
done	5001
1	1388
0	537

prune3.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes494.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	9182×	body	80	valid
1.0ms	2×	body	2560	valid