Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

334×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	53	9
5	64	9
6	75	9
7	96	9
8	136	9
9	377	9
10	1759	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

16.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify975.0ms

Counts

14 → 14

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	33	214
1	112	209
2	386	185
3	1637	183
done	5002	183

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite167.0ms

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:

129.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
11.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
11.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
11.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

362.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
246.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
254.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
287.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify762.0ms

Counts

99 → 99

Iterations

Useful iterations: done (757.0ms)

Iter	Nodes	Cost
0	157	2828
1	403	2647
2	1415	2470
done	5000	2211

prune437.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.1b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.1b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.3b	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

rewrite179.0ms

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:

15.0ms	(+ (* (- 1.0 x) y) (* x z))
16.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
17.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
125.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

series539.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (- 1.0 x) y) (* x z))
188.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
218.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
79.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	118	2542
1	307	1859
2	1430	1689
done	5001	1650

prune268.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.1b	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
39.5b	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

15.0ms	(+ (* (- 1.0 x) y) (* x z))
21.0ms	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
23.0ms	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

series257.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* (- 1.0 x) y) (* x z))
156.0ms	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
43.0ms	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

simplify2.0s

Counts

68 → 68

Iterations

Useful iterations: 2 (589.0ms)

Iter	Nodes	Cost
0	102	1342
1	350	1161
2	2127	1021
done	5000	1021

prune213.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample843.0ms

Algorithm

intervals

Results

333.0ms

10063×

body

valid