Details

sample35.0ms

Algorithm

intervals

Results

18.0ms

487×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	49	13
3	136	13
4	287	13
5	418	13
6	500	13
7	573	13
8	722	13
9	1023	13
done	1023	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.3b	(* (* y 4.0) (- (* z z) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r*` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* z z) t)
3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))

series158.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (* z z) t)
76.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify549.0ms

Counts

63 → 63

Iterations

Useful iterations: done (547.0ms)

Iter	Nodes	Cost
0	103	843
1	289	802
2	1111	696
done	5000	692

prune150.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (* z z)))
0.0b	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
8.1b	(* (* y 4.0) (* z z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`diff-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `associate-l` `*-commutative`

Counts

3 → 50

Calls

3 calls:

3.0ms	(- (* x x) (* (* y 4.0) (* z z)))
20.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
10.0ms	(* (* y 4.0) (* z z))

series166.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x x) (* (* y 4.0) (* z z)))
75.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
29.0ms	(* (* y 4.0) (* z z))

simplify795.0ms

Counts

59 → 59

Iterations

Useful iterations: done (793.0ms)

Iter	Nodes	Cost
0	100	988
1	285	925
2	1067	741
done	5001	713

prune137.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* (* y 4.0) z) z))
0.0b	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
0.2b	(* (* (* y 4.0) z) z)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-l` `*-commutative`

Counts

3 → 49

Calls

3 calls:

2.0ms	(- (* x x) (* (* (* y 4.0) z) z))
17.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
20.0ms	(* (* (* y 4.0) z) z)

series164.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (* x x) (* (* (* y 4.0) z) z))
73.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
31.0ms	(* (* (* y 4.0) z) z)

simplify607.0ms

Counts

58 → 58

Iterations

Useful iterations: done (605.0ms)

Iter	Nodes	Cost
0	106	967
1	302	904
2	1251	736
done	5001	716

prune164.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
21.5b	(cbrt (* (* (* y 4.0) z) z))
21.5b	(cbrt (* (* (* y 4.0) z) z))
21.5b	(cbrt (* (* (* y 4.0) z) z))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

24.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
19.0ms	(cbrt (* (* (* y 4.0) z) z))
21.0ms	(cbrt (* (* (* y 4.0) z) z))
18.0ms	(cbrt (* (* (* y 4.0) z) z))

series475.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
111.0ms	(cbrt (* (* (* y 4.0) z) z))
108.0ms	(cbrt (* (* (* y 4.0) z) z))
119.0ms	(cbrt (* (* (* y 4.0) z) z))

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (968.0ms)

Iter	Nodes	Cost
0	95	1062
1	219	963
2	531	840
3	1521	713
4	4231	689
done	5000	689

prune214.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes468.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	19	18
2	22	18
3	29	18
done	29	18

end0.0ms

sample881.0ms

Algorithm

intervals

Results

488.0ms

15841×

body

valid