Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

411×

body

valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	15	15
1	27	14
2	60	12
3	107	12
4	126	12
5	128	12
done	128	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a b (fma x y (* z t)))
0.0b	(fma c i (fma a b (fma x y (* z t))))
0.0b	(fma x y (* z t))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

0.0ms	(fma a b (fma x y (* z t)))
0.0ms	(fma c i (fma a b (fma x y (* z t))))
1.0ms	(fma x y (* z t))

series343.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(fma a b (fma x y (* z t)))
225.0ms	(fma c i (fma a b (fma x y (* z t))))
59.0ms	(fma x y (* z t))

simplify1.0s

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	47	430
1	63	420
2	131	366
3	508	366
4	2885	366
done	5000	366

prune143.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
0.3b	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.0b	(sqrt (fma x y (* z t)))
1.0b	(sqrt (fma x y (* z t)))

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 t))
6.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.0ms	(sqrt (fma x y (* z t)))
1.0ms	(sqrt (fma x y (* z t)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma x y (* z t))
38.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
75.0ms	(sqrt (fma x y (* z t)))
78.0ms	(sqrt (fma x y (* z t)))

simplify709.0ms

Counts

103 → 103

Iterations

Useful iterations: done (706.0ms)

Iter	Nodes	Cost
0	82	1472
1	149	995
2	426	901
3	1589	844
done	5001	840

prune294.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (fma x y (* z t)))) (sqrt (sqrt (fma x y (* z t)))))
1.0b	(sqrt (fma x y (* z t)))
1.0b	(sqrt (fma x y (* z t)))
1.0b	(sqrt (fma x y (* z t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

11.0ms	(* (sqrt (sqrt (fma x y (* z t)))) (sqrt (sqrt (fma x y (* z t)))))
1.0ms	(sqrt (fma x y (* z t)))
1.0ms	(sqrt (fma x y (* z t)))
1.0ms	(sqrt (fma x y (* z t)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (sqrt (sqrt (fma x y (* z t)))) (sqrt (sqrt (fma x y (* z t)))))
73.0ms	(sqrt (fma x y (* z t)))
75.0ms	(sqrt (fma x y (* z t)))
75.0ms	(sqrt (fma x y (* z t)))

simplify781.0ms

Counts

134 → 134

Iterations

Useful iterations: done (777.0ms)

Iter	Nodes	Cost
0	100	2362
1	178	1437
2	459	1336
3	1619	1256
done	5000	1248

prune549.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (fma x y (* z t))) (fabs (cbrt (fma x y (* z t))))) (sqrt (cbrt (fma x y (* z t)))))
1.0b	(sqrt (fma x y (* z t)))
1.5b	(cbrt (fma x y (* z t)))
1.5b	(cbrt (fma x y (* z t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

12.0ms	(* (* (sqrt (fma x y (* z t))) (fabs (cbrt (fma x y (* z t))))) (sqrt (cbrt (fma x y (* z t)))))
1.0ms	(sqrt (fma x y (* z t)))
0.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (* (sqrt (fma x y (* z t))) (fabs (cbrt (fma x y (* z t))))) (sqrt (cbrt (fma x y (* z t)))))
75.0ms	(sqrt (fma x y (* z t)))
104.0ms	(cbrt (fma x y (* z t)))
106.0ms	(cbrt (fma x y (* z t)))

simplify1.9s

Counts

79 → 79

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	151	1520
1	382	1393
2	1152	1229
3	4204	1202
done	5001	1200

prune401.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes247.0ms

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	12	12
1	13	12
done	13	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

522.0ms

13464×

body

valid