Details

sample46.0ms

Algorithm

intervals

Results

23.0ms

364×

body

valid

simplify18.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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)
51.0ms	(* (+ (* x y) z) y)

series129.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(+ (* (+ (* x y) z) y) t)
49.0ms	(* (+ (* x y) z) y)

simplify2.0s

Counts

37 → 37

Iterations

Useful iterations: 3 (871.0ms)

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

prune144.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite116.0ms

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:

81.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
11.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))

series714.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
163.0ms	(cbrt (+ (* x y) z))
181.0ms	(cbrt (+ (* x y) z))
164.0ms	(cbrt (+ (* x y) z))

simplify3.5s

Counts

99 → 99

Iterations

Useful iterations: done (3.5s)

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

prune470.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* 1 (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))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

64.0ms	(* (* 1 (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))
10.0ms	(cbrt (+ (* x y) z))
10.0ms	(cbrt (+ (* x y) z))
10.0ms	(cbrt (+ (* x y) z))

series640.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (* 1 (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))
142.0ms	(cbrt (+ (* x y) z))
140.0ms	(cbrt (+ (* x y) z))
182.0ms	(cbrt (+ (* x y) z))

simplify3.6s

Counts

82 → 82

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	119	1347
1	304	1232
2	716	1114
3	1695	1071
4	4061	1055
done	5000	967

prune360.0ms

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

47.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
23.0ms	(cbrt (* (+ (* x y) z) y))
16.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))

series660.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
144.0ms	(cbrt (* (+ (* x y) z) y))
139.0ms	(cbrt (* (+ (* x y) z) y))
161.0ms	(cbrt (* (+ (* x y) z) y))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	152	1616
1	353	1501
2	894	1378
3	2176	1229
done	5001	1171

prune320.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

930.0ms

11297×

body

valid