Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

315×

body

valid

simplify348.0ms

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	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

38.0ms	(* (- 1.0 x) y)
39.0ms	(+ (* (- 1.0 x) y) (* x z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- 1.0 x) y)
41.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify2.4s

Counts

39 → 39

Iterations

Useful iterations: 3 (997.0ms)

Iter	Nodes	Cost
0	71	405
1	184	375
2	680	347
3	3077	345
done	5002	345

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

23.0ms	(* x (- z y))
11.0ms	(+ (* y 1.0) (* x (- z y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (- z y))
47.0ms	(+ (* y 1.0) (* x (- z y)))

simplify1.9s

Counts

47 → 47

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	78	459
1	197	431
2	618	397
3	2736	397
done	5000	397

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z y)) (cbrt (- z y)))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

60.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
8.0ms	(cbrt (- z y))
8.0ms	(cbrt (- z y))
9.0ms	(cbrt (- z y))

series745.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
180.0ms	(cbrt (- z y))
191.0ms	(cbrt (- z y))
197.0ms	(cbrt (- z y))

simplify2.9s

Counts

113 → 113

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	617	1223
3	1343	1124
4	3526	1080
done	5001	1032

prune367.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))))

rewrite219.0ms

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:

19.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
19.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
19.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
157.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
289.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
264.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
292.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	157	2828
1	379	2647
2	1006	2470
3	2966	2048
done	5000	1968

prune412.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

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	11	9
done	11	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

769.0ms

10119×

body

valid