Details

sample35.0ms

Algorithm

intervals

Results

16.0ms	337×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	12	285
1	30	245
2	89	245
3	286	245
4	875	245
5	1929	245
6	4790	245
done	5000	245

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))
0.0b	(* (+ (+ (+ y z) (+ y z)) t) x)

rewrite705.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
13×	`distribute-lft-out`
8×	`associate-l`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

150.0ms	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))
553.0ms	(* (+ (+ (+ y z) (+ y z)) t) x)

series134.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))
66.0ms	(* (+ (+ (+ y z) (+ y z)) t) x)

simplify1.6s

Counts

42 → 42

Iterations

Useful iterations: 2 (281.0ms)

Iter	Nodes	Cost
0	75	11265
1	216	10522
2	1210	10442
done	5001	10442

prune271.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* t x) (* 2 (* x y)))
0.0b	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))
0.0b	(* 2 (* x y))
0.0b	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`+-commutative` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+r+`
1×	`associate-r` `*-commutative`

Counts

4 → 56

Calls

4 calls:

13.0ms	(+ (* t x) (* 2 (* x y)))
71.0ms	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))
12.0ms	(* 2 (* x y))
29.0ms	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* t x) (* 2 (* x y)))
78.0ms	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))
36.0ms	(* 2 (* x y))
86.0ms	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 2 (428.0ms)

Iter	Nodes	Cost
0	112	20636
1	353	17583
2	1713	16342
done	5000	16342

prune443.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ y z) (+ y z)) t)) (cbrt (+ (+ (+ y z) (+ y z)) t)))
0.6b	(cbrt (+ (+ (+ y z) (+ y z)) t))
0.6b	(cbrt (+ (+ (+ y z) (+ y z)) t))
0.6b	(cbrt (+ (+ (+ y z) (+ y z)) t))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

331×	`*-un-lft-identity`
221×	`distribute-lft-out`
120×	`cbrt-prod`
41×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 147

Calls

4 calls:

1.0s	(* (cbrt (+ (+ (+ y z) (+ y z)) t)) (cbrt (+ (+ (+ y z) (+ y z)) t)))
97.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
122.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
122.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))

series1.4s

Counts

4 → 12

Calls

4 calls:

426.0ms	(* (cbrt (+ (+ (+ y z) (+ y z)) t)) (cbrt (+ (+ (+ y z) (+ y z)) t)))
349.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
304.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))
367.0ms	(cbrt (+ (+ (+ y z) (+ y z)) t))

simplify1.2s

Counts

159 → 159

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	123	60812
1	288	49463
2	1191	49223
done	5000	48303

prune781.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
0.5b	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
0.5b	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
0.6b	(* (cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

4.0ms	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
4.0ms	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
4.0ms	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
73.0ms	(* (cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))))

series3.2s

Counts

4 → 12

Calls

4 calls:

561.0ms	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
593.0ms	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
555.0ms	(cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x)))
1.5s	(* (cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))))

simplify1.8s

Counts

99 → 99

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	184	56651
1	463	52915
2	1488	52716
done	5001	51679

prune728.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes408.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	366
1	24	366
done	24	366

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	10706×	body	80	valid
23.0ms	90×	body	1280	valid
20.0ms	88×	body	640	valid
9.0ms	58×	body	320	valid
3.0ms	31×	body	160	valid