Details

sample49.0ms

Algorithm

intervals

Results

13.0ms	285×	body	80	valid
10.0ms	280×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	124	11
4	355	11
5	1056	11
6	2596	11
7	4834	11
done	5000	11

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

62.0ms	(+ (- 1.0 z) (log z))
21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
115.0ms	(* y (+ (- 1.0 z) (log z)))

series470.0ms

Counts

3 → 9

Calls

3 calls:

271.0ms	(+ (- 1.0 z) (log z))
81.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
118.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	149	1029
1	436	920
2	1903	805
done	5002	802

prune425.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 0.5 (* y (- 1.0 z)))
0.0b	(* y (- 1.0 z))
0.1b	(+ (fma x 0.5 (* y (- 1.0 z))) (* y (log z)))
0.3b	(* y (log z))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

1.0ms	(fma x 0.5 (* y (- 1.0 z)))
48.0ms	(* y (- 1.0 z))
15.0ms	(+ (fma x 0.5 (* y (- 1.0 z))) (* y (log z)))
18.0ms	(* y (log z))

series257.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma x 0.5 (* y (- 1.0 z)))
50.0ms	(* y (- 1.0 z))
86.0ms	(+ (fma x 0.5 (* y (- 1.0 z))) (* y (log z)))
58.0ms	(* y (log z))

simplify1.5s

Counts

118 → 118

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	202	1514
1	468	1288
2	1689	1104
done	5001	1069

prune617.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* 2 (log (cbrt z))) (fma x 0.5 (* y (- 1.0 z))))
0.2b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma y (* 2 (log (cbrt z))) (fma x 0.5 (* y (- 1.0 z))))
13.0ms	(* (log (cbrt z)) y)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series923.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(fma y (* 2 (log (cbrt z))) (fma x 0.5 (* y (- 1.0 z))))
167.0ms	(* (log (cbrt z)) y)
322.0ms	(cbrt z)
289.0ms	(cbrt z)

simplify838.0ms

Counts

70 → 70

Iterations

Useful iterations: done (834.0ms)

Iter	Nodes	Cost
0	97	594
1	205	569
2	774	490
done	5001	477

prune485.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* 2 (log (cbrt z))) (fma x 0.5 (* y (- 1.0 z))))
0.2b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(fma y (* 2 (log (cbrt z))) (fma x 0.5 (* y (- 1.0 z))))
14.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
4.0ms	(pow z 1/3)

series806.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(fma y (* 2 (log (cbrt z))) (fma x 0.5 (* y (- 1.0 z))))
117.0ms	(* (log (pow z 1/3)) y)
294.0ms	(cbrt z)
281.0ms	(pow z 1/3)

simplify546.0ms

Counts

76 → 76

Iterations

Useful iterations: done (543.0ms)

Iter	Nodes	Cost
0	126	669
1	289	589
2	902	516
done	5000	496

prune539.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

947.0ms	9171×	body	80	nan
667.0ms	9169×	body	80	valid