Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

350×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	31	9
3	57	9
4	95	9
5	130	9
6	161	9
7	186	9
8	398	9
9	1054	9
10	4992	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 1 expressions with local error:

7.9b	(* (/ x y) (- z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

47.0ms

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

series104.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

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

simplify1.0s

Counts

45 → 45

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	99	475
1	262	466
2	1193	422
done	5000	422

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.3b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
8×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
5×	`associate-l`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
157.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series855.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt x)
267.0ms	(cbrt x)
291.0ms	(cbrt x)
63.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify2.4s

Counts

110 → 110

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	168	2312
1	622	2242
2	3635	1256
done	5000	845

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (* (- z t) (/ x y)))
7.9b	(* (- z t) (/ x y))
7.9b	(* (- z t) (/ x y))
7.9b	(* (- z t) (/ x y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

10.0ms	(cbrt (* (- z t) (/ x y)))
29.0ms	(* (- z t) (/ x y))
31.0ms	(* (- z t) (/ x y))
29.0ms	(* (- z t) (/ x y))

series309.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (* (- z t) (/ x y)))
53.0ms	(* (- z t) (/ x y))
51.0ms	(* (- z t) (/ x y))
59.0ms	(* (- z t) (/ x y))

simplify956.0ms

Counts

140 → 140

Iterations

Useful iterations: done (952.0ms)

Iter	Nodes	Cost
0	161	1628
1	387	1576
2	1759	1430
done	5002	1407

prune528.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.4b	(* (/ (cbrt x) y) (- z t))
4.4b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
51.0ms	(* (/ (cbrt x) y) (- z t))
102.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series881.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt x)
269.0ms	(cbrt x)
231.0ms	(* (/ (cbrt x) y) (- z t))
121.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify485.0ms

Counts

147 → 147

Iterations

Useful iterations: done (479.0ms)

Iter	Nodes	Cost
0	224	2272
1	743	2025
done	5000	1542

prune460.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

475.0ms

10752×

body

valid