Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

375×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	32	9
3	57	9
4	58	9
done	58	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

9.0ms

(- (* x x) (* (* y 4.0) z))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(- (* x x) (* (* y 4.0) z))

simplify2.3s

Counts

15 → 15

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	35	220
1	100	213
2	342	185
3	1487	185
done	5000	185

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

62.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
126.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
125.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
149.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	122	2391
1	262	2224
2	764	2000
3	2371	1799
done	5001	1737

prune315.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.9b	(sqrt (- (* x x) (* (* y 4.0) z)))
1.9b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `cbrt-div` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

13.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
13.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
9.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
7.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
74.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
131.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
131.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify2.0s

Counts

68 → 68

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	90	1160
1	206	1076
2	575	976
3	1878	966
done	5000	940

prune331.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
3.1b	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
29.5b	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
25×	`add-sqr-sqrt`
18×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity` `difference-of-squares`
9×	`pow-sqr` `pow-prod-up`
8×	`add-log-exp`
6×	`associate-/l*`
5×	`unpow-prod-down` `sqr-pow`
3×	`pow-plus` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 130

Calls

4 calls:

13.0ms	(+ (* x x) (* (* y 4.0) z))
115.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
15.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
47.0ms	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* x x) (* (* y 4.0) z))
49.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
110.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
139.0ms	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

simplify1.5s

Counts

142 → 142

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	189	3127
1	488	2823
2	1913	2455
done	5000	2256

prune342.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

764.0ms

12167×

body

valid