Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

299×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	3220
24	3220
23	3219
22	3167
21	3099
20	3072
19	3053
18	3032
17	2371
16	2069
15	1680
14	1194
13	918
12	691
11	531
10	335
9	174
8	115
7	95
6	77
5	69
4	65
3	43
2	19
1	10
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

11.0ms	(- (* (+ x 1.0) y) x)
20.0ms	(* (+ x 1.0) y)

series64.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (* (+ x 1.0) y) x)
35.0ms	(* (+ x 1.0) y)

simplify1.8s

Counts

39 → 39

Iterations

Iter	Nodes
done	5014
3	2087
2	459
1	154
0	63

prune173.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

37.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series453.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
92.0ms	(cbrt (+ x 1.0))
114.0ms	(cbrt (+ x 1.0))
108.0ms	(cbrt (+ x 1.0))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	2005
2	816
1	330
0	139

prune570.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
0.6b	(cbrt (* (+ x 1.0) y))
0.6b	(cbrt (* (+ x 1.0) y))
0.6b	(cbrt (* (+ x 1.0) y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

30.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
6.0ms	(cbrt (* (+ x 1.0) y))
6.0ms	(cbrt (* (+ x 1.0) y))
6.0ms	(cbrt (* (+ x 1.0) y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
125.0ms	(cbrt (* (+ x 1.0) y))
139.0ms	(cbrt (* (+ x 1.0) y))
143.0ms	(cbrt (* (+ x 1.0) y))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	2764
2	984
1	389
0	154

prune411.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (+ x 1.0)) y)
0.1b	(* (pow (* (+ x 1.0) (+ x 1.0)) 1/3) (* (cbrt (+ x 1.0)) y))
0.2b	(cbrt (+ x 1.0))
11.4b	(pow (* (+ x 1.0) (+ x 1.0)) 1/3)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
16×	`prod-exp`
14×	`add-sqr-sqrt` `pow1` `*-un-lft-identity`
12×	`associate-l`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt`
9×	`cbrt-prod`
7×	`cbrt-unprod`
6×	`cbrt-div` `pow-pow` `pow-exp`
4×	`associate-r` `associate-*l/` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `flip3-+` `unpow1/3` `flip-+`
2×	`unpow-prod-down` `pow-prod-down` `associate-r/` `-commutative` `distribute-lft-out` `unswap-sqr` `sqr-pow`
1×	`pow2` `pow-plus` `pow1/3` `pow-sqr` `pow-prod-up`

Counts

4 → 89

Calls

4 calls:

27.0ms	(* (cbrt (+ x 1.0)) y)
45.0ms	(* (pow (* (+ x 1.0) (+ x 1.0)) 1/3) (* (cbrt (+ x 1.0)) y))
3.0ms	(cbrt (+ x 1.0))
15.0ms	(pow (* (+ x 1.0) (+ x 1.0)) 1/3)

series536.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (+ x 1.0)) y)
40.0ms	(* (pow (* (+ x 1.0) (+ x 1.0)) 1/3) (* (cbrt (+ x 1.0)) y))
104.0ms	(cbrt (+ x 1.0))
128.0ms	(pow (* (+ x 1.0) (+ x 1.0)) 1/3)

simplify3.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5004
3	4963
2	1568
1	559
0	206

prune380.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample637.0ms

Algorithm

intervals

Results

264.0ms	9154×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid