Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

328×

body

valid

simplify6.0s

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	93	9
5	121	9
6	139	9
7	159	9
8	192	9
9	249	9
10	278	9
11	313	9
12	349	9
13	374	9
14	390	9
15	477	9
16	568	9
17	818	9
18	1143	9
19	1570	9
20	1655	9
21	1656	9
done	1656	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
3.6b	(* (- y x) (/ z t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

15.0ms	(+ x (* (- y x) (/ z t)))
52.0ms	(* (- y x) (/ z t))

series128.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ x (* (- y x) (/ z t)))
67.0ms	(* (- y x) (/ z t))

simplify3.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	115	669
1	293	627
2	1083	581
3	4484	557
done	5001	557

prune175.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)
102.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series933.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt z)
248.0ms	(cbrt z)
243.0ms	(cbrt z)
196.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	144	1045
1	372	974
2	1507	731
done	5000	702

prune343.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (- y x) (/ z t))
7.8b	(cbrt (* (- y x) (/ z t)))
7.8b	(cbrt (* (- y x) (/ z t)))
7.8b	(cbrt (* (- y x) (/ z t)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

47.0ms	(* (- y x) (/ z t))
11.0ms	(cbrt (* (- y x) (/ z t)))
10.0ms	(cbrt (* (- y x) (/ z t)))
16.0ms	(cbrt (* (- y x) (/ z t)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- y x) (/ z t))
166.0ms	(cbrt (* (- y x) (/ z t)))
174.0ms	(cbrt (* (- y x) (/ z t)))
206.0ms	(cbrt (* (- y x) (/ z t)))

simplify2.8s

Counts

92 → 92

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	162	1292
1	372	1252
2	1260	1150
3	4738	1105
done	5000	1099

prune499.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
4.1b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
66.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series910.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt t)
268.0ms	(cbrt t)
258.0ms	(cbrt t)
117.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	151	1411
1	435	1355
2	1815	1035
done	5000	944

prune379.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes285.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample1.4s

Algorithm

intervals

Results

634.0ms

10578×

body

valid