Details

sample46.0ms

Algorithm

intervals

Results

18.0ms

332×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	58	9
4	101	9
5	158	9
6	207	9
7	389	9
8	992	9
9	3653	9
done	5001	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize22.0ms

Local error

Found 1 expressions with local error:

6.1b	(* (- y x) (/ z t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

71.0ms

(* (- y x) (/ z t))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(* (- y x) (/ z t))

simplify1.3s

Counts

41 → 41

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	96	449
1	249	434
2	1283	392
done	5000	376

prune343.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (cbrt (/ z t)) (cbrt (/ z t))) (- y x))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite124.0ms

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×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*l/`
5×	`associate-r/` `associate-r*`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

98.0ms	(* (* (cbrt (/ z t)) (cbrt (/ z t))) (- y x))
6.0ms	(cbrt (/ z t))
6.0ms	(cbrt (/ z t))
6.0ms	(cbrt (/ z t))

series761.0ms

Counts

4 → 12

Calls

4 calls:

408.0ms	(* (* (cbrt (/ z t)) (cbrt (/ z t))) (- y x))
115.0ms	(cbrt (/ z t))
129.0ms	(cbrt (/ z t))
109.0ms	(cbrt (/ z t))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	169	1476
1	403	1385
2	1556	1276
done	5000	1254

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t)))) (cbrt (/ z t))) (- y x))
3.5b	(cbrt (/ z (cbrt t)))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite400.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
39×	`cbrt-div`
36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`frac-times`
22×	`associate-*l/`
13×	`pow1` `add-exp-log`
11×	`associate-*r/`
9×	`add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow1/3` `div-inv`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

372.0ms	(* (* (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t)))) (cbrt (/ z t))) (- y x))
7.0ms	(cbrt (/ z (cbrt t)))
4.0ms	(cbrt (/ z t))
5.0ms	(cbrt (/ z t))

series960.0ms

Counts

4 → 12

Calls

4 calls:

416.0ms	(* (* (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t)))) (cbrt (/ z t))) (- y x))
307.0ms	(cbrt (/ z (cbrt t)))
123.0ms	(cbrt (/ z t))
114.0ms	(cbrt (/ z t))

simplify3.2s

Counts

137 → 137

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	287	2504
1	733	2386
2	3408	2141
done	5004	2123

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
2.0b	(* (* (cbrt (/ z t)) (cbrt (/ z t))) (- y x))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt z)
104.0ms	(* (* (cbrt (/ z t)) (cbrt (/ z t))) (- y x))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series933.0ms

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt z)
387.0ms	(* (* (cbrt (/ z t)) (cbrt (/ z t))) (- y x))
111.0ms	(cbrt (/ z t))
106.0ms	(cbrt (/ z t))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	184	1304
1	445	1219
2	1782	1096
done	5002	1077

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes842.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

753.0ms

10661×

body

valid