Details

sample372.0ms

Algorithm

intervals

Results

196.0ms	1909×	body	80	nan
24.0ms	257×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1804
4	471
3	157
2	61
1	27
0	15

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `prod-diff`
22×	`add-cube-cbrt`
17×	`pow1` `associate-+r+`
14×	`log-pow`
10×	`log-prod`
7×	`distribute-lft-out`
6×	`associate--l+` `distribute-lft-out--` `add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`log-div` `sum-log` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r-` `flip3--` `fma-udef` `flip--` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

8.0ms	(- (log z) t)
0.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
50.0ms	(+ (log (+ y x)) (- (log z) t))

series461.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (log z) t)
138.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
231.0ms	(+ (log (+ y x)) (- (log z) t))

simplify741.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1450
1	440
0	185

prune739.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (log t) (- a 0.5) (+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t)))
0.5b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `fma-udef`

Counts

4 → 46

Calls

4 calls:

0.0ms	(fma (log t) (- a 0.5) (+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t)))
0.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

250.0ms	(fma (log t) (- a 0.5) (+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t)))
229.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
261.0ms	(cbrt z)
264.0ms	(cbrt z)

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	2770
2	622
1	227
0	106

prune668.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t))
0.5b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`associate-+r+`
17×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`prod-diff`
9×	`cbrt-prod`
8×	`pow1` `add-log-exp`
7×	`log-pow`
6×	`log-prod` `associate--l+`
5×	`pow1/3`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out`
2×	`sum-log` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `associate-+l+` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 81

Calls

4 calls:

23.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t))
0.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

500.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t))
184.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
275.0ms	(cbrt z)
276.0ms	(cbrt z)

simplify594.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1093
1	319
0	146

prune944.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))
0.5b	(cbrt (log (+ y x)))
0.5b	(cbrt (log (+ y x)))
0.5b	(cbrt (log (+ y x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`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 → 89

Calls

4 calls:

14.0ms	(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))
2.0ms	(cbrt (log (+ y x)))
2.0ms	(cbrt (log (+ y x)))
2.0ms	(cbrt (log (+ y x)))

series4.0s

Counts

4 → 12

Calls

4 calls:

1.8s	(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))
740.0ms	(cbrt (log (+ y x)))
735.0ms	(cbrt (log (+ y x)))
726.0ms	(cbrt (log (+ y x)))

simplify3.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
3	3323
2	541
1	158
0	69

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes1.2s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.3s	57606×	body	80	nan
1.7s	8032×	body	80	valid