Details

sample39.0ms

Algorithm

intervals

Results

21.0ms

331×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	10	13
1	27	13
2	63	11
3	151	10
4	291	10
5	356	10
6	420	10
7	532	10
8	696	10
9	944	10
10	1139	10
11	1218	10
12	1219	10
done	1219	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

10.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
8.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series212.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x 3.0) 4.0)
65.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
75.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.9s

Counts

59 → 59

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	100	687
1	214	644
2	505	563
3	1884	555
done	5000	546

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 9.0 (- 12.0))
0.1b	(fma x (fma x 9.0 (- 12.0)) 3.0)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma x 9.0 (- 12.0))
1.0ms	(fma x (fma x 9.0 (- 12.0)) 3.0)

series146.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(fma x 9.0 (- 12.0))
48.0ms	(fma x (fma x 9.0 (- 12.0)) 3.0)

simplify2.0s

Counts

26 → 26

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	35	238
1	55	235
2	120	203
3	387	203
4	1961	203
done	5000	203

prune99.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

19.0ms	(* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
35.0ms	(* (* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
36.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
33.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
53.0ms	(* (* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))

simplify2.7s

Counts

79 → 79

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	112	1430
1	278	1125
2	820	969
3	3063	959
done	5000	956

prune348.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* 3.0 (fabs (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
0.2b	(* (* 3.0 (fabs (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (cbrt (fma x (- (* x 3.0) 4.0) 1.0))))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 78

Calls

4 calls:

96.0ms	(* (* (* 3.0 (fabs (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
24.0ms	(* (* 3.0 (fabs (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (cbrt (fma x (- (* x 3.0) 4.0) 1.0))))
9.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
2.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (* (* 3.0 (fabs (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
296.0ms	(* (* 3.0 (fabs (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))) (sqrt (cbrt (fma x (- (* x 3.0) 4.0) 1.0))))
226.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
265.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	257	3286
1	703	3036
2	2511	2688
done	5002	2608

prune538.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample830.0ms

Algorithm

intervals

Results

620.0ms

10657×

body

valid