Details

sample78.0ms

Algorithm

intervals

Results

51.0ms

661×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

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))))
0.3b	(pow (fma a a (* b b)) 2.0)
0.8b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite49.0ms

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:

0.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (pow (fma a a (* b b)) 2.0))
0.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
3.0ms	(pow (fma a a (* b b)) 2.0)
43.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (pow (fma a a (* b b)) 2.0))
71.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
153.0ms	(pow (fma a a (* b b)) 2.0)
64.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	160	1452
1	429	1415
2	2544	1221
done	5001	1210

prune529.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (- 1.0 (* 3.0 a)))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

41.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
12.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series674.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
182.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
207.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
215.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	131	1430
1	329	1413
2	1913	1248
done	5000	1230

prune596.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

9.2b	(cbrt (pow (hypot a b) 2.0))
9.2b	(cbrt (pow (hypot a b) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite17.0ms

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 (hypot a b) 2.0))
9.0ms	(cbrt (pow (hypot a 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))

series810.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (pow (hypot a b) 2.0))
190.0ms	(cbrt (pow (hypot a b) 2.0))
190.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
198.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify736.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (261.0ms)

Iter	Nodes	Cost
0	98	1032
1	177	1016
2	397	936
3	1213	924
done	5000	924

prune820.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite11.0ms

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:

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

series813.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
194.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
205.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
204.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: 3 (179.0ms)

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

prune811.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.1s

20258×

body

valid