Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

305×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	24	6
3	37	6
4	46	6
5	53	6
6	61	6
done	61	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

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 (+ z x) y x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (+ z x) y x)

simplify649.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	19	116
1	30	113
2	63	95
3	216	95
4	994	95
done	5000	95

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
0.6b	(cbrt (fma (+ z x) y x))
0.6b	(cbrt (fma (+ z x) y x))
0.6b	(cbrt (fma (+ z x) y x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
0.0ms	(cbrt (fma (+ z x) y x))
0.0ms	(cbrt (fma (+ z x) y x))
1.0ms	(cbrt (fma (+ z x) y x))

series703.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
148.0ms	(cbrt (fma (+ z x) y x))
157.0ms	(cbrt (fma (+ z x) y x))
155.0ms	(cbrt (fma (+ z x) y x))

simplify904.0ms

Counts

93 → 93

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	100	1442
1	234	1320
2	612	1202
3	1736	1054
done	5000	1029

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

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))
0.3b	(* (sqrt (fma (+ z x) y x)) (sqrt (fma (+ z x) y x)))

rewrite13.0ms

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)
1.0ms	(sqrt (fma (+ z x) y x))
1.0ms	(sqrt (fma (+ z x) y x))
9.0ms	(* (sqrt (fma (+ z x) y x)) (sqrt (fma (+ z x) y x)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma (+ z x) y x)
68.0ms	(sqrt (fma (+ z x) y x))
69.0ms	(sqrt (fma (+ z x) y x))
25.0ms	(* (sqrt (fma (+ z x) y x)) (sqrt (fma (+ z x) y x)))

simplify901.0ms

Counts

103 → 103

Iterations

Useful iterations: done (898.0ms)

Iter	Nodes	Cost
0	89	1524
1	183	1041
2	481	931
3	1768	890
done	5000	880

prune178.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample394.0ms

Algorithm

intervals

Results

196.0ms

10100×

body

valid