Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	314×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	50	8
4	60	8
5	61	8
done	61	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

rewrite1.0ms

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:

0.0ms

(fma x (+ y z) (* z 5.0))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma x (+ y z) (* z 5.0))

simplify942.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	22	146
1	36	140
2	69	121
3	265	121
4	1668	121
done	5000	121

prune32.0ms

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 x (+ y z) (* z 5.0))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite20.0ms

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 x (+ y z) (* z 5.0))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
14.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma x (+ y z) (* z 5.0))
131.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
127.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
34.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	94	1850
1	191	1271
2	489	1139
3	1563	1082
done	5002	1046

prune471.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma x (+ y z) (* 5.0 z)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z))))) (sqrt (fma x (+ y z) (* z 5.0))))
0.3b	(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

76×	`sqrt-prod`
54×	`add-sqr-sqrt`
37×	`pow1` `sqrt-pow1`
21×	`pow1/2`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`swap-sqr` `associate-r`
12×	`pow-prod-down`
11×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
10×	`associate-l`
9×	`pow-prod-up`
5×	`pow-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 135

Calls

4 calls:

2.0ms	(sqrt (fma x (+ y z) (* 5.0 z)))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
62.0ms	(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z))))) (sqrt (fma x (+ y z) (* z 5.0))))
23.0ms	(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt (fma x (+ y z) (* 5.0 z)))
129.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
33.0ms	(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z))))) (sqrt (fma x (+ y z) (* z 5.0))))
127.0ms	(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))))

simplify1.7s

Counts

147 → 147

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	150	3735
1	296	1991
2	765	1794
3	2525	1716
done	5002	1657

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* 5.0 z))))))) (sqrt (fma x (+ y z) (* z 5.0))))
0.3b	(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* 5.0 z)))))))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.5b	(cbrt (fma x (+ y z) (* 5.0 z)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

110.0ms	(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* 5.0 z))))))) (sqrt (fma x (+ y z) (* z 5.0))))
34.0ms	(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* 5.0 z)))))))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* 5.0 z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

673.0ms	(* (* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* 5.0 z))))))) (sqrt (fma x (+ y z) (* z 5.0))))
268.0ms	(* (sqrt (sqrt (fma x (+ y z) (* 5.0 z)))) (sqrt (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* 5.0 z)))))))
177.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
188.0ms	(cbrt (fma x (+ y z) (* 5.0 z)))

simplify2.7s

Counts

98 → 98

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	203	3571
1	467	3301
2	1383	2848
3	4899	2764
done	5000	2762

prune493.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.0b 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
1	9	8
done	9	8

end0.0ms

sample523.0ms

Algorithm

intervals

Results

211.0ms	9754×	body	80	valid
9.0ms	102×	body	1280	valid
9.0ms	116×	body	640	valid
4.0ms	76×	body	320	valid
1.0ms	28×	body	160	valid