Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

360×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	12	164
2	20	164
3	41	164
4	57	164
5	60	164
done	60	164

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

19.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(+ (* x y) z)
24.0ms	(* (+ (* x y) z) y)

series178.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(+ (* (+ (* x y) z) y) t)
38.0ms	(+ (* x y) z)
45.0ms	(* (+ (* x y) z) y)

simplify925.0ms

Counts

51 → 51

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	80	11852
1	212	9883
2	904	9803
done	5001	9803

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

10.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
47.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (+ (* x y) z))
135.0ms	(cbrt (+ (* x y) z))
112.0ms	(cbrt (+ (* x y) z))
162.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	115	36323
1	291	31073
2	1083	30831
done	5001	30271

prune640.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt y) (cbrt y))
258.0ms	(cbrt y)
262.0ms	(cbrt y)
246.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune472.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
9.3b	(cbrt (* (+ (* x y) z) y))
9.3b	(cbrt (* (+ (* x y) z) y))
9.3b	(cbrt (* (+ (* x y) z) y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

40.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
10.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))

series741.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
174.0ms	(cbrt (* (+ (* x y) z) y))
174.0ms	(cbrt (* (+ (* x y) z) y))
165.0ms	(cbrt (* (+ (* x y) z) y))

simplify1.0s

Counts

84 → 84

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	152	34685
1	377	30620
2	1204	30377
done	5000	29538

prune532.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes371.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	324
1	16	324
done	16	324

end0.0ms

sample1.2s

Algorithm

intervals

Results

782.0ms

11299×

body

valid