Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

355×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	9
3	48	9
4	72	9
5	94	9
6	113	9
7	135	9
8	181	9
9	247	9
10	330	9
11	360	9
12	413	9
13	452	9
14	468	9
15	504	9
16	592	9
17	819	9
18	1096	9
19	1646	9
20	2135	9
21	2198	9
done	2198	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.4b	(* (/ x y) (- z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
15.0ms	(* (/ x y) (- z t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
53.0ms	(* (/ x y) (- z t))

simplify1.7s

Counts

63 → 63

Iterations

Useful iterations: 3 (723.0ms)

Iter	Nodes	Cost
0	120	727
1	313	701
2	1007	625
3	3813	619
done	5000	619

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (/ x y) (- z t))
8.5b	(cbrt (* (/ x y) (- z t)))
8.5b	(cbrt (* (/ x y) (- z t)))
8.5b	(cbrt (* (/ x y) (- z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 84

Calls

4 calls:

15.0ms	(* (/ x y) (- z t))
5.0ms	(cbrt (* (/ x y) (- z t)))
7.0ms	(cbrt (* (/ x y) (- z t)))
5.0ms	(cbrt (* (/ x y) (- z t)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ x y) (- z t))
121.0ms	(cbrt (* (/ x y) (- z t)))
116.0ms	(cbrt (* (/ x y) (- z t)))
117.0ms	(cbrt (* (/ x y) (- z t)))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 3 (666.0ms)

Iter	Nodes	Cost
0	143	1186
1	336	1156
2	1073	1046
3	3729	1019
done	5001	1019

prune322.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (/ x y) (- z t))
8.5b	(cbrt (* (/ x y) (- z t)))
8.5b	(cbrt (* (/ x y) (- z t)))
10.1b	(cbrt (/ x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

15.0ms	(* (/ x y) (- z t))
5.0ms	(cbrt (* (/ x y) (- z t)))
5.0ms	(cbrt (* (/ x y) (- z t)))
2.0ms	(cbrt (/ x y))

series354.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (/ x y) (- z t))
119.0ms	(cbrt (* (/ x y) (- z t)))
117.0ms	(cbrt (* (/ x y) (- z t)))
64.0ms	(cbrt (/ x y))

simplify2.0s

Counts

104 → 104

Iterations

Useful iterations: 3 (970.0ms)

Iter	Nodes	Cost
0	188	1186
1	403	1152
2	1212	1041
3	4089	1017
done	5001	1017

prune395.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (* (/ x y) (- z t)))
10.1b	(cbrt (/ x y))
10.1b	(cbrt (/ x y))
10.1b	(cbrt (/ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`div-inv`
2×	`frac-times` `flip3--` `associate-*r/` `flip--`
1×	`associate-*l/`

Counts

4 → 80

Calls

4 calls:

5.0ms	(cbrt (* (/ x y) (- z t)))
1.0ms	(cbrt (/ x y))
1.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series302.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (* (/ x y) (- z t)))
58.0ms	(cbrt (/ x y))
62.0ms	(cbrt (/ x y))
62.0ms	(cbrt (/ x y))

simplify1.9s

Counts

92 → 92

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	136	948
1	248	911
2	572	862
3	1547	837
4	4702	777
done	5000	777

prune389.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (2.0b 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	9
1	10	9
done	10	9

end0.0ms

sample522.0ms

Algorithm

intervals

Results

262.0ms

10668×

body

valid