Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

505×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
18.9b	(/ (* x x) (* y y))
21.7b	(/ (* z z) (* t t))

rewrite21.0ms

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:

10.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms	(/ (* x x) (* y y))
5.0ms	(/ (* z z) (* t t))

series146.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
26.0ms	(/ (* x x) (* y y))
26.0ms	(/ (* z z) (* t t))

simplify506.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	113	909
1	356	856
2	1537	664
done	5000	664

prune148.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.4b	(* (/ z t) (/ z t))
18.9b	(/ (* x x) (* y y))

rewrite30.0ms

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:

8.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
13.0ms	(* (/ z t) (/ z t))
5.0ms	(/ (* x x) (* y y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
30.0ms	(* (/ z t) (/ z t))
26.0ms	(/ (* x x) (* y y))

simplify1.0s

Counts

111 → 111

Iterations

Useful iterations: 2 (531.0ms)

Iter	Nodes	Cost
0	182	1515
1	573	1368
2	2249	1129
done	5001	1129

prune238.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))
0.4b	(* (/ z t) (/ z t))

rewrite23.0ms

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:

3.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
14.0ms	(* (/ z t) (/ z t))

series103.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
8.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
28.0ms	(* (/ z t) (/ z t))

simplify730.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	155	1544
1	456	1247
2	1694	1059
done	5001	1059

prune280.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ z t) (/ z t))
0.5b	(pow (sqrt (fabs (/ x y))) 3)
10.2b	(sqrt (fabs (/ x y)))
10.2b	(sqrt (fabs (/ x y)))

rewrite21.0ms

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:

14.0ms	(* (/ z t) (/ z t))
2.0ms	(pow (sqrt (fabs (/ x y))) 3)
1.0ms	(sqrt (fabs (/ x y)))
1.0ms	(sqrt (fabs (/ x y)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (/ z t) (/ z t))
22.0ms	(pow (sqrt (fabs (/ x y))) 3)
8.0ms	(sqrt (fabs (/ x y)))
8.0ms	(sqrt (fabs (/ x y)))

simplify663.0ms

Counts

137 → 137

Iterations

Useful iterations: 2 (259.0ms)

Iter	Nodes	Cost
0	158	1473
1	446	1243
2	1561	1101
done	5000	1101

prune318.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	29
1	20	29
done	20	29

end0.0ms

sample898.0ms

Algorithm

intervals

Results

522.0ms

15534×

body

valid