Details

sample84.0ms

Algorithm

intervals

Results

39.0ms

540×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	24	15
2	42	15
3	54	15
done	54	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.9b	(/ (* x x) (* y y))
23.8b	(/ (* z z) (* t t))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

45.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
13.0ms	(/ (* x x) (* y y))
22.0ms	(/ (* z z) (* t t))

series214.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
35.0ms	(/ (* x x) (* y y))
41.0ms	(/ (* z z) (* t t))

simplify2.6s

Counts

64 → 64

Iterations

Useful iterations: 2 (578.0ms)

Iter	Nodes	Cost
0	113	909
1	430	884
2	4331	666
done	5000	666

prune285.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
19.9b	(/ (* x x) (* y y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
10×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`div-inv` `add-log-exp`
4×	`unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `associate-/l*`

Counts

3 → 102

Calls

3 calls:

24.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
29.0ms	(* (/ z t) (/ z t))
22.0ms	(/ (* x x) (* y y))

series182.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
32.0ms	(* (/ z t) (/ z t))
31.0ms	(/ (* x x) (* y y))

simplify2.8s

Counts

111 → 111

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	182	1515
1	671	1402
2	4921	1167
done	5000	1167

prune448.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
40×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
17×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`swap-sqr` `associate-r` `associate-l`
5×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r/` `associate-l/` `sum-log` `flip-+`

Counts

3 → 103

Calls

3 calls:

8.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
42.0ms	(* (/ z t) (/ z t))
7.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
29.0ms	(* (/ z t) (/ z t))
9.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

simplify3.2s

Counts

112 → 112

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	155	1544
1	547	1294
2	4337	1083
done	5000	1074

prune415.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ z t) (/ z t))
0.5b	(pow (sqrt (fabs (/ x y))) 3)
9.1b	(sqrt (fabs (/ x y)))
9.1b	(sqrt (fabs (/ x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`times-frac`
39×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
13×	`swap-sqr` `associate-r` `associate-l`
12×	`sqrt-prod`
6×	`unpow-prod-down` `cube-prod`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`rem-sqrt-square`
1×	`pow2` `cube-mult` `frac-times` `pow-to-exp` `pow-plus` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 125

Calls

4 calls:

23.0ms	(* (/ z t) (/ z t))
4.0ms	(pow (sqrt (fabs (/ x y))) 3)
1.0ms	(sqrt (fabs (/ x y)))
1.0ms	(sqrt (fabs (/ x y)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (/ z t) (/ z t))
32.0ms	(pow (sqrt (fabs (/ x y))) 3)
14.0ms	(sqrt (fabs (/ x y)))
14.0ms	(sqrt (fabs (/ x y)))

simplify3.2s

Counts

137 → 137

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	158	1473
1	544	1270
2	3668	1155
done	5001	1134

prune633.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	24
1	15	24
done	15	24

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

15437×

body

valid