Details

sample53.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
9.0ms	213×	body	80	nan

simplify918.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (148.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	206	12
4	1068	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`add-log-exp`
18×	`prod-diff`
12×	`log-prod`
7×	`pow1` `fma-neg` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
5×	`associate-+l+`
4×	`expm1-log1p-u` `associate-r` `associate-l` `sum-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def`
2×	`associate-+l-` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

13.0ms	(- x (* (+ y 0.5) (log y)))
231.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
28.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
48.0ms	(* (+ y 0.5) (log y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- x (* (+ y 0.5) (log y)))
71.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
49.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
367.0ms	(* (+ y 0.5) (log y))

simplify2.4s

Counts

129 → 129

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	212	1986
1	565	1753
2	2392	1570
done	5001	1493

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
0.0b	(+ x (fma (- (log y)) (+ y 0.5) y))
0.1b	(fma (- (log y)) (+ y 0.5) y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

62.0ms	(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
6.0ms	(+ x (fma (- (log y)) (+ y 0.5) y))
0.0ms	(fma (- (log y)) (+ y 0.5) y)

series551.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
42.0ms	(+ x (fma (- (log y)) (+ y 0.5) y))
451.0ms	(fma (- (log y)) (+ y 0.5) y)

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	1317
1	319	1131
2	1346	1007
done	5000	912

prune260.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `frac-add` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`associate-+l+` `associate-+r+` `log-pow`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

45.0ms	(* (log (cbrt y)) (+ y 0.5))
41.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.9s

Counts

4 → 12

Calls

4 calls:

677.0ms	(* (log (cbrt y)) (+ y 0.5))
1.7s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
303.0ms	(cbrt y)
287.0ms	(cbrt y)

simplify2.6s

Counts

88 → 88

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	147	1170
1	468	1004
2	2684	838
done	5000	800

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- x (* (log (cbrt y)) (fma 3 y 1.5))) y)
0.1b	(fma 3 y 1.5)
0.3b	(* (log (cbrt y)) (fma 3 y 1.5))
0.6b	(cbrt y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

34.0ms	(+ (- x (* (log (cbrt y)) (fma 3 y 1.5))) y)
1.0ms	(fma 3 y 1.5)
18.0ms	(* (log (cbrt y)) (fma 3 y 1.5))
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (- x (* (log (cbrt y)) (fma 3 y 1.5))) y)
58.0ms	(fma 3 y 1.5)
689.0ms	(* (log (cbrt y)) (fma 3 y 1.5))
281.0ms	(cbrt y)

simplify931.0ms

Counts

83 → 83

Iterations

Useful iterations: done (929.0ms)

Iter	Nodes	Cost
0	123	922
1	293	887
2	1223	779
done	5002	771

prune365.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes188.0ms

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	10	12
1	12	12
done	12	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

731.0ms	8036×	body	80	valid
463.0ms	8118×	body	80	nan
0.0ms	1×	body	640	valid