Details

sample156.0ms

Algorithm

intervals

Results

108.0ms

684×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	19	31
1	55	29
2	179	28
3	594	28
4	2383	28
done	5000	28

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (pow (fma a a (* b b)) 2.0))
0.1b	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (fma a a (* b b)) 2.0)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

1.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (pow (fma a a (* b b)) 2.0))
1.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
70.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
6.0ms	(pow (fma a a (* b b)) 2.0)

series581.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (pow (fma a a (* b b)) 2.0))
93.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
94.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
221.0ms	(pow (fma a a (* b b)) 2.0)

simplify4.8s

Counts

84 → 84

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	160	1452
1	426	1415
2	2503	1221
done	5001	1210

prune807.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

47.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
311.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
306.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
320.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.4s

Counts

129 → 129

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	122	2774
1	241	2629
2	990	2385
done	5001	2243

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
7.8b	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite23.0ms

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:

5.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
5.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
6.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
304.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
315.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
315.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: 3 (367.0ms)

Iter	Nodes	Cost
0	91	1292
1	165	1262
2	371	1148
3	1151	1136
done	5001	1136

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 4 expressions with local error:

17.2b	(cbrt (pow (fma a a (* b b)) 2.0))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))
17.2b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite32.0ms

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:

16.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
321.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
325.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
292.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	58	1188
1	105	1172
2	228	1064
3	656	1052
4	2741	1052
done	5000	1052

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes454.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	28
1	20	28
done	20	28

end0.0ms

sample5.4s

Algorithm

intervals

Results

4.4s

20353×

body

valid