Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

359×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	6	123
1	9	123
2	11	123
3	13	98
4	14	98
done	14	98

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y z) y x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma (/ y z) y x)

simplify2.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	19	2506
1	28	1993
2	78	1918
3	328	1918
4	3265	1918
done	5000	1918

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

13.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series420.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
101.0ms	(cbrt (fma (/ y z) y x))
109.0ms	(cbrt (fma (/ y z) y x))
116.0ms	(cbrt (fma (/ y z) y x))

simplify4.6s

Counts

93 → 93

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	85	27594
1	174	25942
2	578	25892
3	3781	24801
done	5000	24544

prune495.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
7.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (fma (/ y z) y x))
104.0ms	(cbrt (fma (/ y z) y x))
123.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
124.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify2.3s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	82	21828
1	143	21162
2	317	21112
3	988	20061
4	4399	19766
done	5000	19766

prune447.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (fma (/ y z) y x))
148.0ms	(cbrt (cbrt (fma (/ y z) y x)))
131.0ms	(cbrt (cbrt (fma (/ y z) y x)))
108.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify2.0s

Counts

73 → 73

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	61	27213
1	104	26278
2	219	26278
3	695	25218
4	3117	25041
done	5001	24537

prune543.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes506.0ms

Accuracy

0% (0.1b 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	5	98
done	5	98

end0.0ms

sample718.0ms

Algorithm

intervals

Results

367.0ms

10658×

body

valid