Details

sample51.0ms

Algorithm

intervals

Results

20.0ms

364×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	20	9
3	39	9
4	43	9
done	43	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

15.0ms	(+ (* (+ (* x y) z) y) t)
37.0ms	(* (+ (* x y) z) y)

series127.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(+ (* (+ (* x y) z) y) t)
39.0ms	(* (+ (* x y) z) y)

simplify1.8s

Counts

37 → 37

Iterations

Useful iterations: 3 (759.0ms)

Iter	Nodes	Cost
0	70	445
1	187	425
2	606	383
3	2125	377
done	5000	377

prune148.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

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:

93.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))

series713.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
170.0ms	(cbrt (+ (* x y) z))
164.0ms	(cbrt (+ (* x y) z))
177.0ms	(cbrt (+ (* x y) z))

simplify3.7s

Counts

99 → 99

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	115	1590
1	267	1472
2	677	1378
3	1633	1255
4	4133	1231
done	5000	1158

prune457.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt 1) (pow (cbrt (+ (* x y) z)) 2)) (* (cbrt (+ (* x y) z)) y))
0.5b	(pow (cbrt (+ (* x y) z)) 2)
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
18×	`prod-exp`
12×	`add-cbrt-cube`
10×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-unprod`
6×	`unpow-prod-down` `cbrt-div`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-unpow` `flip3-+` `pow1/3` `pow-prod-down` `pow-exp` `flip-+`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`associate-r` `associate-l` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

173.0ms	(* (* (cbrt 1) (pow (cbrt (+ (* x y) z)) 2)) (* (cbrt (+ (* x y) z)) y))
25.0ms	(pow (cbrt (+ (* x y) z)) 2)
11.0ms	(cbrt (+ (* x y) z))
12.0ms	(cbrt (+ (* x y) z))

series527.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (cbrt 1) (pow (cbrt (+ (* x y) z)) 2)) (* (cbrt (+ (* x y) z)) y))
183.0ms	(pow (cbrt (+ (* x y) z)) 2)
154.0ms	(cbrt (+ (* x y) z))
144.0ms	(cbrt (+ (* x y) z))

simplify4.2s

Counts

86 → 86

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	138	1468
1	368	1255
2	960	935
3	3366	823
done	5001	810

prune427.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
7.3b	(cbrt (* y (+ (* x y) z)))
7.3b	(cbrt (* y (+ (* x y) z)))
7.3b	(cbrt (* y (+ (* x y) z)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

51.0ms	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
19.0ms	(cbrt (* y (+ (* x y) z)))
15.0ms	(cbrt (* y (+ (* x y) z)))
10.0ms	(cbrt (* y (+ (* x y) z)))

series973.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
245.0ms	(cbrt (* y (+ (* x y) z)))
197.0ms	(cbrt (* y (+ (* x y) z)))
196.0ms	(cbrt (* y (+ (* x y) z)))

simplify4.0s

Counts

84 → 84

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	116	1474
1	278	1359
2	717	1236
3	1695	1108
4	4492	1074
done	5001	1030

prune412.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes317.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

11297×

body

valid