Details

sample296.0ms

Algorithm

intervals

Results

87.0ms	889×	body	80	nan
57.0ms	294×	body	80	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3746
4	1256
3	332
2	107
1	39
0	20

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
0.1b	(fma (- b 0.5) (log c) (fma y i a))
0.2b	(fma (log y) x z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `sum-log` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 41

Calls

3 calls:

27.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
0.0ms	(fma (- b 0.5) (log c) (fma y i a))
0.0ms	(fma (log y) x z)

series1.6s

Counts

3 → 9

Calls

3 calls:

1.3s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
171.0ms	(fma (- b 0.5) (log c) (fma y i a))
102.0ms	(fma (log y) x z)

simplify2.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	4611
2	764
1	220
0	97

prune501.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (fma (log y) x z) t) (fma (- b 0.5) (log c) (fma y i a)))
0.1b	(fma (- b 0.5) (log c) (fma y i a))
0.2b	(fma (log y) x z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `distribute-lft-out`
3×	`expm1-log1p-u` `pow1` `sum-log` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 42

Calls

3 calls:

23.0ms	(+ (+ (fma (log y) x z) t) (fma (- b 0.5) (log c) (fma y i a)))
0.0ms	(fma (- b 0.5) (log c) (fma y i a))
0.0ms	(fma (log y) x z)

series945.0ms

Counts

3 → 9

Calls

3 calls:

718.0ms	(+ (+ (fma (log y) x z) t) (fma (- b 0.5) (log c) (fma y i a)))
142.0ms	(fma (- b 0.5) (log c) (fma y i a))
85.0ms	(fma (log y) x z)

simplify3.4s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	4290
2	710
1	212
0	96

prune613.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

16.0ms	(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))

series1.3s

Counts

4 → 12

Calls

4 calls:

487.0ms	(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
263.0ms	(cbrt (fma (log y) x z))
290.0ms	(cbrt (fma (log y) x z))
266.0ms	(cbrt (fma (log y) x z))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	2657
2	795
1	283
0	117

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (fma (log y) x z))
292.0ms	(cbrt (fma (log y) x z))
284.0ms	(cbrt (fma (log y) x z))
279.0ms	(cbrt (fma (log y) x z))

simplify3.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
4	4185
3	1090
2	328
1	128
0	61

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	17

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.7s	27281×	body	80	nan
1.6s	9209×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid