Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

357×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
15	4637
14	3604
13	1771
12	909
11	592
10	461
9	348
8	266
7	202
6	169
5	138
4	96
3	56
2	25
1	14
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.3b	(* (- y x) (/ z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

8.0ms	(+ x (* (- y x) (/ z t)))
24.0ms	(* (- y x) (/ z t))

series154.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ x (* (- y x) (/ z t)))
86.0ms	(* (- y x) (/ z t))

simplify3.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	4818
2	1043
1	308
0	115

prune452.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* (- y x) (/ z t)))
6.3b	(* (- y x) (/ z t))
6.3b	(* (- y x) (/ z t))
6.3b	(* (- y x) (/ z t))

rewrite124.0ms

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-cbrt-cube` `add-exp-log`
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:

9.0ms	(cbrt (* (- y x) (/ z t)))
48.0ms	(* (- y x) (/ z t))
40.0ms	(* (- y x) (/ z t))
23.0ms	(* (- y x) (/ z t))

series369.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (* (- y x) (/ z t)))
77.0ms	(* (- y x) (/ z t))
58.0ms	(* (- y x) (/ z t))
53.0ms	(* (- y x) (/ z t))

simplify2.6s

Counts

140 → 140

Iterations

Iter	Nodes
done	5002
3	4462
2	1083
1	387
0	162

prune924.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* (- y x) (/ z t)))
5.7b	(cbrt (* (- y x) (/ z t)))
6.3b	(* (- y x) (/ z t))
6.3b	(* (- y x) (/ z t))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`associate-r`
24×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-div` `associate-l`
8×	`frac-times` `pow1` `flip3--` `associate-*l/` `flip--`
4×	`prod-exp` `associate-*r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-prod` `cbrt-undiv` `pow1/3` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

8.0ms	(cbrt (* (- y x) (/ z t)))
9.0ms	(cbrt (* (- y x) (/ z t)))
23.0ms	(* (- y x) (/ z t))
36.0ms	(* (- y x) (/ z t))

series494.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (* (- y x) (/ z t)))
169.0ms	(cbrt (* (- y x) (/ z t)))
77.0ms	(* (- y x) (/ z t))
62.0ms	(* (- y x) (/ z t))

simplify2.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	5002
3	4462
2	1083
1	387
0	162

prune978.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
3.1b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
3.3b	(* (cbrt (- y x)) (/ z t))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`prod-exp` `add-cube-cbrt` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

6.0ms	(cbrt (- y x))
6.0ms	(cbrt (- y x))
96.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
30.0ms	(* (cbrt (- y x)) (/ z t))

series788.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- y x))
220.0ms	(cbrt (- y x))
68.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
265.0ms	(* (cbrt (- y x)) (/ z t))

simplify2.6s

Counts

164 → 164

Iterations

Iter	Nodes
done	5008
2	2232
1	838
0	275

prune910.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes713.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

544.0ms

10655×

body

valid