Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

316×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	84	9
4	165	9
5	331	9
6	375	9
7	434	9
8	509	9
9	592	9
10	670	9
11	843	9
12	1217	9
13	1336	9
14	1453	9
done	1453	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize15.0ms

Local error

Found 1 expressions with local error:

3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

28.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify1.1s

Counts

27 → 27

Iterations

Useful iterations: 3 (376.0ms)

Iter	Nodes	Cost
0	56	345
1	140	340
2	408	296
3	1641	288
done	5000	288

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
2.1b	(* (* x z) (- y 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

19.0ms	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
37.0ms	(* (* x z) (- y 1.0))

series154.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
71.0ms	(* (* x z) (- y 1.0))

simplify4.3s

Counts

47 → 47

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	89	589
1	255	557
2	994	453
3	4801	451
done	5001	451

prune94.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.5b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.6b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
44×	`associate-*r/`
41×	`pow1`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
36×	`add-exp-log` `frac-times`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
18×	`associate-*l/`
17×	`associate-r`
15×	`add-cube-cbrt`
10×	`swap-sqr` `associate-l`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 159

Calls

4 calls:

4.0ms	(cbrt (- y 1.0))
39.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
227.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
64.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series633.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (- y 1.0))
188.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
110.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
230.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.5s

Counts

171 → 171

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	287	3542
1	763	3336
2	2663	2889
done	5001	2699

prune523.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
6.4b	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
6.4b	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
6.4b	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-div`
40×	`associate-*r/`
24×	`flip3--` `flip--`
16×	`pow1` `add-exp-log` `frac-times`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 81

Calls

4 calls:

71.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
59.0ms	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
52.0ms	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
107.0ms	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
403.0ms	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
450.0ms	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
415.0ms	(cbrt (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	197	2586
1	508	2489
2	1538	2186
done	5000	2047

prune567.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes345.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

358.0ms

10122×

body

valid