Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

299×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	3088
19	3088
18	3017
17	2650
16	2289
15	2142
14	1984
13	1540
12	1239
11	916
10	533
9	207
8	133
7	105
6	87
5	75
4	71
3	49
2	21
1	11
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp`
3×	`associate-r` `prod-diff`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`sub-neg` `flip3-+` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

11.0ms	(- (* (+ x 1.0) y) x)
16.0ms	(* (+ x 1.0) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- (* (+ x 1.0) y) x)
35.0ms	(* (+ x 1.0) y)

simplify2.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5006
3	1987
2	587
1	211
0	84

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (+ x 1.0) y (- x))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(fma (+ x 1.0) y (- x))

simplify2.1s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	2802
3	403
2	86
1	33
0	20

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

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))

rewrite55.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

34.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
5.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))

series489.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
114.0ms	(cbrt (+ x 1.0))
115.0ms	(cbrt (+ x 1.0))
122.0ms	(cbrt (+ x 1.0))

simplify2.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	5003
3	2238
2	849
1	343
0	143

prune568.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `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 → 80

Calls

4 calls:

19.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
10.0ms	(cbrt (* (+ x 1.0) y))
10.0ms	(cbrt (* (+ x 1.0) y))
7.0ms	(cbrt (* (+ x 1.0) y))

series583.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
154.0ms	(cbrt (* (+ x 1.0) y))
136.0ms	(cbrt (* (+ x 1.0) y))
113.0ms	(cbrt (* (+ x 1.0) y))

simplify2.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	2979
2	1015
1	403
0	158

prune610.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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	7
1	7
0	6

end0.0ms

sample539.0ms

Algorithm

intervals

Results

328.0ms	9154×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid