Details

sample105.0ms

Algorithm

intervals

Results

19.0ms

331×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	19	6
3	35	6
4	52	6
5	69	6
6	83	6
7	104	6
8	140	6
9	178	6
10	227	6
11	253	6
12	269	6
13	291	6
14	312	6
15	341	6
16	429	6
17	505	6
18	616	6
19	678	6
20	760	6
21	770	6
22	772	6
done	772	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- z x) y x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

4.0ms

(fma (- z x) y x)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(fma (- z x) y x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	19	116
1	32	113
2	67	95
3	243	95
4	1485	95
done	5000	95

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- z x) y x)
0.0b	(sqrt (fma (- z x) y x))
0.0b	(sqrt (fma (- z x) y x))
0.2b	(* (sqrt (fma (- z x) y x)) (sqrt (fma (- z x) y x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (- z x) y x)
6.0ms	(sqrt (fma (- z x) y x))
2.0ms	(sqrt (fma (- z x) y x))
14.0ms	(* (sqrt (fma (- z x) y x)) (sqrt (fma (- z x) y x)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (- z x) y x)
86.0ms	(sqrt (fma (- z x) y x))
109.0ms	(sqrt (fma (- z x) y x))
34.0ms	(* (sqrt (fma (- z x) y x)) (sqrt (fma (- z x) y x)))

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	89	1524
1	181	1041
2	470	931
3	1541	878
done	5001	850

prune325.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt (fma (- z x) y x))) (cbrt (sqrt (fma (- z x) y x))))
0.3b	(cbrt (sqrt (fma (- z x) y x)))
0.3b	(cbrt (sqrt (fma (- z x) y x)))
0.3b	(cbrt (sqrt (fma (- z x) y x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
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 → 106

Calls

4 calls:

33.0ms	(* (cbrt (sqrt (fma (- z x) y x))) (cbrt (sqrt (fma (- z x) y x))))
3.0ms	(cbrt (sqrt (fma (- z x) y x)))
2.0ms	(cbrt (sqrt (fma (- z x) y x)))
2.0ms	(cbrt (sqrt (fma (- z x) y x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (sqrt (fma (- z x) y x))) (cbrt (sqrt (fma (- z x) y x))))
239.0ms	(cbrt (sqrt (fma (- z x) y x)))
274.0ms	(cbrt (sqrt (fma (- z x) y x)))
256.0ms	(cbrt (sqrt (fma (- z x) y x)))

simplify3.9s

Counts

118 → 118

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	111	2240
1	243	2043
2	630	1923
3	1620	1740
4	4417	1627
done	5000	1627

prune528.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (- z x) y x))
0.0b	(sqrt (fma (- z x) y x))
0.2b	(* (sqrt (fma (- z x) y x)) (expm1 (log1p (sqrt (fma (- z x) y x)))))
1.7b	(expm1 (log1p (sqrt (fma (- z x) y x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`sqrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`add-exp-log` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `unswap-sqr`
1×	`expm1-log1p` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 65

Calls

4 calls:

2.0ms	(sqrt (fma (- z x) y x))
2.0ms	(sqrt (fma (- z x) y x))
11.0ms	(* (sqrt (fma (- z x) y x)) (expm1 (log1p (sqrt (fma (- z x) y x)))))
0.0ms	(expm1 (log1p (sqrt (fma (- z x) y x))))

series2.8s

Counts

4 → 12

Calls

4 calls:

119.0ms	(sqrt (fma (- z x) y x))
138.0ms	(sqrt (fma (- z x) y x))
1.6s	(* (sqrt (fma (- z x) y x)) (expm1 (log1p (sqrt (fma (- z x) y x)))))
894.0ms	(expm1 (log1p (sqrt (fma (- z x) y x))))

simplify2.5s

Counts

77 → 77

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	95	1227
1	213	897
2	557	788
3	1605	736
done	5001	717

prune245.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

357.0ms

10090×

body

valid