Details

sample303.0ms

Algorithm

intervals

Results

150.0ms	919×	body	80	nan
52.0ms	302×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	1256
3	332
2	107
1	39
0	20

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
5×	`fma-udef`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+`

Counts

4 → 61

Calls

4 calls:

10.0ms	(+ a (fma x (log y) t))
9.0ms	(+ (fma (- b 0.5) (log c) z) (fma y i (+ a (fma x (log y) t))))
0.0ms	(fma (- b 0.5) (log c) z)
1.0ms	(fma x (log y) t)

series1.2s

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ a (fma x (log y) t))
984.0ms	(+ (fma (- b 0.5) (log c) z) (fma y i (+ a (fma x (log y) t))))
105.0ms	(fma (- b 0.5) (log c) z)
100.0ms	(fma x (log y) t)

simplify639.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	2000
2	879
1	295
0	131

prune539.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(* (cbrt (fma (- b 0.5) (log c) z)) (cbrt (fma (- b 0.5) (log c) z)))

rewrite11.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

1.0ms	(cbrt (fma (- b 0.5) (log c) z))
1.0ms	(cbrt (fma (- b 0.5) (log c) z))
1.0ms	(cbrt (fma (- b 0.5) (log c) z))
8.0ms	(* (cbrt (fma (- b 0.5) (log c) z)) (cbrt (fma (- b 0.5) (log c) z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt (fma (- b 0.5) (log c) z))
269.0ms	(cbrt (fma (- b 0.5) (log c) z))
258.0ms	(cbrt (fma (- b 0.5) (log c) z))
352.0ms	(* (cbrt (fma (- b 0.5) (log c) z)) (cbrt (fma (- b 0.5) (log c) z)))

simplify703.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
2	813
1	350
0	146

prune914.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(* (cbrt (fma (- b 0.5) (log c) z)) (cbrt (fma (- b 0.5) (log c) 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` `insert-posit16` `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 → 85

Calls

4 calls:

1.0ms	(cbrt (fma (- b 0.5) (log c) z))
1.0ms	(cbrt (fma (- b 0.5) (log c) z))
1.0ms	(cbrt (fma (- b 0.5) (log c) z))
16.0ms	(* (cbrt (fma (- b 0.5) (log c) z)) (cbrt (fma (- b 0.5) (log c) z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt (fma (- b 0.5) (log c) z))
291.0ms	(cbrt (fma (- b 0.5) (log c) z))
291.0ms	(cbrt (fma (- b 0.5) (log c) z))
325.0ms	(* (cbrt (fma (- b 0.5) (log c) z)) (cbrt (fma (- b 0.5) (log c) z)))

simplify819.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
2	813
1	350
0	146

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(cbrt (fma (- b 0.5) (log c) z))
0.6b	(cbrt (fma (- b 0.5) (log c) z))
25.7b	(cbrt (* (fma (- b 0.5) (log c) z) (fma (- b 0.5) (log c) z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (fma (- b 0.5) (log c) z))
1.0ms	(cbrt (fma (- b 0.5) (log c) z))
1.0ms	(cbrt (fma (- b 0.5) (log c) z))
14.0ms	(cbrt (* (fma (- b 0.5) (log c) z) (fma (- b 0.5) (log c) z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt (fma (- b 0.5) (log c) z))
315.0ms	(cbrt (fma (- b 0.5) (log c) z))
305.0ms	(cbrt (fma (- b 0.5) (log c) z))
367.0ms	(cbrt (* (fma (- b 0.5) (log c) z) (fma (- b 0.5) (log c) z)))

simplify983.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2000
3	1910
2	668
1	283
0	127

prune825.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

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

sample10.5s

Algorithm

intervals

Results

5.9s	28066×	body	80	nan
1.8s	9246×	body	80	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	valid
1.0ms	2×	body	320	valid