Details

sample245.0ms

Algorithm

intervals

Results

78.0ms	960×	body	80	nan
28.0ms	293×	body	80	valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	424	18
4	1400	18
5	3582	18
done	5000	18

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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` `log1p-expm1-u`
3×	`fma-def` `sum-log` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 50

Calls

4 calls:

28.0ms	(+ a (+ (fma x (log y) z) t))
1.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
1.0ms	(fma x (log y) z)

series2.1s

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ a (+ (fma x (log y) z) t))
1.4s	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
468.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
90.0ms	(fma x (log y) z)

simplify1.8s

Counts

62 → 62

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	102	864
1	217	842
2	605	739
3	2919	728
done	5001	713

prune438.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt a) (cbrt a))
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite23.0ms

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:

16.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series1.1s

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt a) (cbrt a))
242.0ms	(cbrt a)
292.0ms	(cbrt a)
240.0ms	(cbrt a)

simplify5.0s

Counts

93 → 93

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune705.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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

series1.2s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
314.0ms	(cbrt (fma x (log y) z))
306.0ms	(cbrt (fma x (log y) z))
286.0ms	(cbrt (fma x (log y) z))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	118	1361
1	258	1253
2	698	1154
3	2398	1021
done	5000	994

prune685.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma x (log y) z)))
2.0ms	(cbrt (cbrt (fma x (log y) z)))
2.0ms	(cbrt (cbrt (fma x (log y) z)))
29.0ms	(* (cbrt (cbrt (fma x (log y) z))) (cbrt (cbrt (fma x (log y) z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt (cbrt (fma x (log y) z)))
236.0ms	(cbrt (cbrt (fma x (log y) z)))
226.0ms	(cbrt (cbrt (fma x (log y) z)))
275.0ms	(* (cbrt (cbrt (fma x (log y) z))) (cbrt (cbrt (fma x (log y) z))))

simplify1.8s

Counts

116 → 116

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	141	2031
1	284	1911
2	754	1797
3	2542	1606
done	5000	1578

prune833.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes850.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	24
1	20	24
done	20	24

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.0s	27179×	body	80	nan
760.0ms	9181×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid