Details

sample220.0ms

Algorithm

intervals

Results

111.0ms	881×	body	80	nan
28.0ms	292×	body	80	valid

simplify4.8s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (log y) x z) t)
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))
0.1b	(fma (log y) x z)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

18.0ms	(+ (fma (log y) x z) t)
25.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
1.0ms	(fma (- b 0.5) (log c) (fma y i a))
1.0ms	(fma (log y) x z)

series1.6s

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (fma (log y) x z) t)
1.2s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
168.0ms	(fma (- b 0.5) (log c) (fma y i a))
119.0ms	(fma (log y) x z)

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1070
1	280
0	119

prune824.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

65.0ms	(* (cbrt (+ (fma (log y) x z) t)) (cbrt (+ (fma (log y) x z) t)))
4.0ms	(cbrt (+ (fma (log y) x z) t))
3.0ms	(cbrt (+ (fma (log y) x z) t))
3.0ms	(cbrt (+ (fma (log y) x z) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (cbrt (+ (fma (log y) x z) t)) (cbrt (+ (fma (log y) x z) t)))
232.0ms	(cbrt (+ (fma (log y) x z) t))
222.0ms	(cbrt (+ (fma (log y) x z) t))
227.0ms	(cbrt (+ (fma (log y) x z) t))

simplify2.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
3	2390
2	792
1	307
0	134

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize124.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (+ (fma (log y) x z) t))
6.0ms	(cbrt (+ (fma (log y) x z) t))
6.0ms	(cbrt (+ (fma (log y) x z) t))
6.0ms	(cbrt (+ (fma (log y) x z) t))

series973.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (+ (fma (log y) x z) t))
240.0ms	(cbrt (+ (fma (log y) x z) t))
256.0ms	(cbrt (+ (fma (log y) x z) t))
249.0ms	(cbrt (+ (fma (log y) x z) t))

simplify2.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5003
4	3048
3	918
2	333
1	148
0	70

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

3.0ms	(cbrt (+ (fma (log y) x z) t))
3.0ms	(cbrt (+ (fma (log y) x z) t))
3.0ms	(cbrt (+ (fma (log y) x z) t))
3.0ms	(cbrt (+ (fma (log y) x z) t))

series921.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (+ (fma (log y) x z) t))
225.0ms	(cbrt (+ (fma (log y) x z) t))
221.0ms	(cbrt (+ (fma (log y) x z) t))
266.0ms	(cbrt (+ (fma (log y) x z) t))

simplify2.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5003
4	3048
3	918
2	333
1	148
0	70

prune991.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes1.5s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	17

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.2s	27779×	body	80	nan
1.4s	9272×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid