Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

360×

body

valid

simplify4.2s

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	467	9
14	483	9
15	519	9
16	633	9
17	863	9
18	1173	9
19	1772	9
20	2373	9
21	2433	9
done	2433	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
3.7b	(* (/ x y) (- z t))

rewrite28.0ms

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)
19.0ms	(* (/ x y) (- z t))

series84.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ x y) (- z t)) t)
50.0ms	(* (/ x y) (- z t))

simplify2.3s

Counts

63 → 63

Iterations

Useful iterations: 3 (982.0ms)

Iter	Nodes	Cost
0	120	727
1	313	701
2	1010	625
3	3823	619
done	5000	619

prune125.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite67.0ms

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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
62.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
173.0ms	(cbrt x)
176.0ms	(cbrt x)
54.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify928.0ms

Counts

110 → 110

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	168	2312
1	585	2242
2	2645	1212
done	5000	1208

prune288.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.1b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `sqrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`rem-sqrt-square` `times-frac`
1×	`sqrt-pow1` `pow1/2` `sqrt-div` `div-inv`

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
7.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series613.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt x)
181.0ms	(cbrt x)
182.0ms	(cbrt x)
65.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify1.7s

Counts

62 → 62

Iterations

Useful iterations: 4 (511.0ms)

Iter	Nodes	Cost
0	67	477
1	116	424
2	243	324
3	587	312
4	1790	303
done	5000	303

prune238.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (pow (cbrt x) 3))
0.7b	(pow (cbrt x) 3)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (pow (cbrt x) 3)) (cbrt y)) (- z t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
33×	`cbrt-prod`
17×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1`
9×	`frac-times` `associate-*r/`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-l`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`pow-unpow` `pow1/3` `pow-prod-down` `associate-*l/`
2×	`cube-mult` `pow-pow` `unpow3` `sqr-pow`
1×	`pow-to-exp` `times-frac` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 133

Calls

4 calls:

0.0ms	(cbrt x)
2.0ms	(cbrt (pow (cbrt x) 3))
2.0ms	(pow (cbrt x) 3)
75.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (pow (cbrt x) 3)) (cbrt y)) (- z t)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
182.0ms	(cbrt (pow (cbrt x) 3))
240.0ms	(pow (cbrt x) 3)
55.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (pow (cbrt x) 3)) (cbrt y)) (- z t)))

simplify1.2s

Counts

145 → 145

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	212	2992
1	689	2265
2	3064	1290
done	5000	1235

prune288.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	21	31
done	21	31

end0.0ms

sample530.0ms

Algorithm

intervals

Results

274.0ms

10676×

body

valid