Details

sample62.0ms

Algorithm

intervals

Results

39.0ms

699×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	18	29
1	53	27
2	172	26
3	509	26
4	1497	26
5	3573	26
done	5000	26

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (fma a a (* b b)) 2.0)
0.9b	(* (* b b) (+ 3.0 a))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/` `fma-udef`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `associate-l` `pow-exp` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
0.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
2.0ms	(pow (fma a a (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

series282.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
48.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
113.0ms	(pow (fma a a (* b b)) 2.0)
35.0ms	(* (* b b) (+ 3.0 a))

simplify2.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	136	1157
1	320	1101
2	1101	970
3	4265	962
done	5000	962

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series522.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* b b) (+ 3.0 a))
159.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
164.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
163.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: 3 (972.0ms)

Iter	Nodes	Cost
0	109	1189
1	258	1158
2	850	1035
3	3163	1026
done	5000	1026

prune356.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
11.2b	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

2.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
2.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series660.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
164.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
163.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
164.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	91	1292
1	162	1262
2	328	1148
3	790	1136
4	2347	1136
done	5000	1136

prune423.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt (fma a a (* b b)))
16.5b	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt (fma a a (* b b)))
3.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series598.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (fma a a (* b b)))
166.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
160.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
165.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.3s

Counts

74 → 74

Iterations

Useful iterations: 3 (192.0ms)

Iter	Nodes	Cost
0	112	1202
1	210	1189
2	427	1077
3	1007	1065
4	2703	1065
done	5000	1065

prune459.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	18	26
done	18	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

20523×

body

valid