Details

sample132.0ms

Algorithm

intervals

Results

45.0ms	846×	body	80	nan
17.0ms	291×	body	80	valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8
done	5001	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

0.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
15.0ms	(+ (fma x (log y) z) (+ t a))
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

681.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
86.0ms	(+ (fma x (log y) z) (+ t a))
358.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
54.0ms	(fma x (log y) z)

simplify73.0ms

Counts

63 → 63

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346
done	5001	346

prune273.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

0.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
5.0ms	(+ (fma x (log y) (+ t z)) a)
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.0ms	(fma x (log y) (+ t z))

series1.2s

Counts

4 → 12

Calls

4 calls:

696.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
86.0ms	(+ (fma x (log y) (+ t z)) a)
353.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
45.0ms	(fma x (log y) (+ t z))

simplify65.0ms

Counts

60 → 60

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	184	400
1	547	354
2	2741	348
3	5001	347
done	5001	347

prune266.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))

rewrite16.0ms

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:

11.0ms	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
554.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
553.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
555.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))

simplify48.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	378	1678
1	1348	1552
2	5001	1427
done	5001	1427

prune495.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.6b	(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
5.0ms	(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))))

series2.8s

Counts

4 → 12

Calls

4 calls:

545.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
552.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
562.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.2s	(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))))

simplify123.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	342	1128
1	1097	1035
2	4936	997
3	5001	997
done	5001	997

prune427.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes772.0ms

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	19	8
1	19	8
done	19	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	27129×	body	80	nan
547.0ms	9175×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid