Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

332×

body

valid

simplify7.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	25	164
3	56	164
4	96	164
5	138	164
6	169	164
7	202	164
8	266	164
9	348	164
10	461	164
11	592	164
12	909	164
13	1771	164
14	3604	164
15	4637	164
done	5001	164

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.1b	(* (- y x) (/ z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

10.0ms	(+ x (* (- y x) (/ z t)))
25.0ms	(* (- y x) (/ z t))

series144.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ x (* (- y x) (/ z t)))
83.0ms	(* (- y x) (/ z t))

simplify3.6s

Counts

55 → 55

Iterations

Useful iterations: 2 (319.0ms)

Iter	Nodes	Cost
0	115	13541
1	308	12154
2	1043	11832
3	4818	11832
done	5000	11832

prune350.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.5b	(cbrt (/ z t))
12.5b	(cbrt (/ z t))
12.5b	(cbrt (/ z t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`frac-times` `pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

56.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series423.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
84.0ms	(cbrt (/ z t))
71.0ms	(cbrt (/ z t))
80.0ms	(cbrt (/ z t))

simplify3.0s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	162	37275
1	337	34801
2	833	34238
3	2926	33478
done	5000	33478

prune823.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
3.0b	(* (- y x) (* (/ (cbrt z) (cbrt t)) (cbrt (/ z t))))
12.5b	(cbrt (/ z t))
12.5b	(cbrt (/ z t))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`times-frac`
13×	`add-exp-log`
9×	`frac-times` `pow1` `add-cbrt-cube`
8×	`cbrt-div`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/` `prod-exp` `cbrt-unprod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`div-inv`
1×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt z)
62.0ms	(* (- y x) (* (/ (cbrt z) (cbrt t)) (cbrt (/ z t))))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series636.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt z)
176.0ms	(* (- y x) (* (/ (cbrt z) (cbrt t)) (cbrt (/ z t))))
80.0ms	(cbrt (/ z t))
113.0ms	(cbrt (/ z t))

simplify2.0s

Counts

100 → 100

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	186	37050
1	420	34277
2	1290	33755
done	5000	33115

prune821.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
3.0b	(* (- y x) (* (* (cbrt z) (cbrt (/ 1 t))) (cbrt (/ z t))))
12.5b	(cbrt (/ z t))
12.5b	(cbrt (/ z t))

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`times-frac`
14×	`cbrt-div`
13×	`pow1` `add-exp-log`
12×	`associate-*r/`
9×	`frac-times` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt z)
485.0ms	(* (- y x) (* (* (cbrt z) (cbrt (/ 1 t))) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series697.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt z)
255.0ms	(* (- y x) (* (* (cbrt z) (cbrt (/ 1 t))) (cbrt (/ z t))))
80.0ms	(cbrt (/ z t))
102.0ms	(cbrt (/ z t))

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	193	39737
1	450	36314
2	1481	35425
done	5000	34865

prune791.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes712.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	10	164
done	10	164

end0.0ms

sample1.0s

Algorithm

intervals

Results

518.0ms

10693×

body

valid