Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

323×

body

valid

simplify243.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	29	9
4	38	9
5	45	9
6	56	9
7	77	9
8	114	9
9	162	9
10	206	9
11	232	9
12	233	9
done	233	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

6.0ms

(+ (* (- 1.0 x) y) (* x z))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ (* (- 1.0 x) y) (* x z))

simplify612.0ms

Counts

14 → 14

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	33	214
1	112	209
2	360	185
3	1304	183
done	5000	183

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.3b	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

5.0ms	(+ (* (- 1.0 x) y) (* x z))
7.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
7.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
40.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* (- 1.0 x) y) (* x z))
163.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
163.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
34.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

simplify2.7s

Counts

110 → 110

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	118	2542
1	276	1847
2	889	1689
3	4474	1635
done	5001	1629

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

rewrite54.0ms

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:

4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
38.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
178.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
176.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
209.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: 3 (673.0ms)

Iter	Nodes	Cost
0	157	2828
1	379	2647
2	1107	2470
3	4363	2046
done	5001	2046

prune329.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
0.3b	(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
0.3b	(* (* (* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (sqrt (+ (* (- 1.0 x) y) (* x z))))
0.3b	(* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

232×	`sqrt-div`
178×	`cbrt-div`
140×	`frac-times`
116×	`flip3-+` `flip-+`
70×	`associate-*l/`
52×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`associate-*r/`
23×	`add-cube-cbrt`
22×	`pow1` `*-un-lft-identity`
20×	`pow1/3`
15×	`add-exp-log` `associate-r`
12×	`swap-sqr`
10×	`associate-l` `pow-prod-up`
9×	`add-cbrt-cube` `unswap-sqr`
8×	`pow-prod-down`
7×	`prod-exp` `cbrt-unprod`
4×	`pow-sqr` `add-log-exp`
3×	`pow-plus`
2×	`*-commutative`
1×	`pow2`

Counts

4 → 205

Calls

4 calls:

5.0ms	(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
5.0ms	(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
246.0ms	(* (* (* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (sqrt (+ (* (- 1.0 x) y) (* x z))))
46.0ms	(* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
179.0ms	(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
39.0ms	(* (* (* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (sqrt (+ (* (- 1.0 x) y) (* x z))))
181.0ms	(* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))))

simplify768.0ms

Counts

217 → 217

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	346	13486
1	803	12757
2	2255	11878
done	5001	11878

prune584.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample431.0ms

Algorithm

intervals

Results

230.0ms

10052×

body

valid