Details

sample21.0ms

Algorithm

intervals

Results

10.0ms	326×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	29	8
3	43	8
4	52	8
5	53	8
done	53	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))

simplify610.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	22	146
1	35	140
2	67	121
3	240	121
4	1213	121
done	5001	121

prune33.0ms

Pruning

3 alts after pruning (2 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)))
0.3b	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite11.0ms

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))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
7.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma x (+ y z) (* z 5.0))
121.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
113.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
27.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	94	1850
1	189	1271
2	540	1139
3	2693	1100
done	5001	1094

prune218.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
0.3b	(* (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (fma x (+ y z) (* z 5.0))))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
13.0ms	(* (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (fma x (+ y z) (* z 5.0))))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series787.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0)))))
287.0ms	(* (* (fabs (cbrt (fma x (+ y z) (* z 5.0)))) (sqrt (cbrt (fma x (+ y z) (* z 5.0))))) (sqrt (fma x (+ y z) (* z 5.0))))
144.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
148.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify655.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	195	2491
1	478	2323
2	1508	2034
done	5001	2034

prune311.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) (pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3))
0.4b	(pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-r` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`associate-l`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 144

Calls

4 calls:

1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
21.0ms	(* (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) (pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3))
4.0ms	(pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3)

series540.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
114.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
27.0ms	(* (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) (pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3))
287.0ms	(pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3)

simplify762.0ms

Counts

156 → 156

Iterations

Useful iterations: done (757.0ms)

Iter	Nodes	Cost
0	182	3871
1	464	3358
2	1601	2420
done	5000	2414

prune309.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

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

sample468.0ms

Algorithm

intervals

Results

239.0ms	9845×	body	80	valid
10.0ms	96×	body	1280	valid
10.0ms	115×	body	640	valid
5.0ms	72×	body	320	valid
2.0ms	35×	body	160	valid