Details

sample99.0ms

Algorithm

intervals

Results

34.0ms	291×	body	80	valid
19.0ms	291×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4526
6	2495
5	1087
4	364
3	123
2	57
1	26
0	11

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

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×	`associate-+r+` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `sum-log` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

30.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
32.0ms	(+ (- 1.0 z) (log z))
71.0ms	(* y (+ (- 1.0 z) (log z)))

series473.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
278.0ms	(+ (- 1.0 z) (log z))
114.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1846
1	418
0	143

prune546.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

24.0ms	(* y (- 1.0 z))
24.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
18.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms	(* y (log z))

series325.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* y (- 1.0 z))
92.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
129.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
62.0ms	(* y (log z))

simplify2.3s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	2524
1	610
0	225

prune764.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* y (log (cbrt z))))
0.2b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

11.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* y (log (cbrt z))))
8.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

398.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* y (log (cbrt z))))
140.0ms	(* y (log (cbrt z)))
243.0ms	(cbrt z)
286.0ms	(cbrt z)

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1554
1	372
0	140

prune810.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* y (log (pow z 1/3))))
0.2b	(* y (log (pow z 1/3)))
0.6b	(cbrt z)
5.1b	(pow z 1/3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `associate-l`
2×	`associate-+l+` `fma-udef`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

17.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* y (log (pow z 1/3))))
15.0ms	(* y (log (pow z 1/3)))
1.0ms	(cbrt z)
10.0ms	(pow z 1/3)

series993.0ms

Counts

4 → 12

Calls

4 calls:

348.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* y (log (pow z 1/3))))
115.0ms	(* y (log (pow z 1/3)))
280.0ms	(cbrt z)
249.0ms	(pow z 1/3)

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
2	1801
1	493
0	184

prune901.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes328.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	9296×	body	80	nan
760.0ms	9204×	body	80	valid