Details

sample87.0ms

Algorithm

intervals

Results

24.0ms	258×	body	80	nan
20.0ms	257×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1080
3	208
2	63
1	21
0	10

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `log1p-expm1-u`
2×	`sum-log` `sub-neg` `diff-log` `fma-udef` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `associate--r+` `difference-of-squares`

Counts

3 → 70

Calls

3 calls:

13.0ms	(+ x (- y (fma (+ 0.5 y) (log y) z)))
8.0ms	(- y (fma (+ 0.5 y) (log y) z))
1.0ms	(fma (+ 0.5 y) (log y) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (- y (fma (+ 0.5 y) (log y) z)))
58.0ms	(- y (fma (+ 0.5 y) (log y) z))
40.0ms	(fma (+ 0.5 y) (log y) z)

simplify1.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	1532
1	339
0	137

prune423.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

44.0ms	(+ x (- (- y (* (log y) (+ y 0.5))) z))
4.0ms	(- y (* (log y) (+ y 0.5)))
28.0ms	(* (log y) (+ y 0.5))

series934.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (- (- y (* (log y) (+ y 0.5))) z))
532.0ms	(- y (* (log y) (+ y 0.5)))
331.0ms	(* (log y) (+ y 0.5))

simplify1.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2186
1	480
0	173

prune562.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (- y (+ (* y (log y)) (* 0.5 (log y)))) z))
0.0b	(+ (* y (log y)) (* 0.5 (log y)))
0.2b	(- y (+ (* y (log y)) (* 0.5 (log y))))
0.3b	(* y (log y))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
39×	`prod-diff`
37×	`associate-+r+`
36×	`add-cube-cbrt`
25×	`add-log-exp`
18×	`log-prod`
14×	`associate--l+`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `sum-log` `distribute-rgt-out` `diff-log` `distribute-lft-out--`
6×	`associate-+l+` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `fma-def` `associate-r` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `fma-neg` `associate-l` `distribute-lft-out`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `associate--r+` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

218.0ms	(+ x (- (- y (+ (* y (log y)) (* 0.5 (log y)))) z))
16.0ms	(+ (* y (log y)) (* 0.5 (log y)))
30.0ms	(- y (+ (* y (log y)) (* 0.5 (log y))))
13.0ms	(* y (log y))

series1.5s

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ x (- (- y (+ (* y (log y)) (* 0.5 (log y)))) z))
579.0ms	(+ (* y (log y)) (* 0.5 (log y)))
606.0ms	(- y (+ (* y (log y)) (* 0.5 (log y))))
243.0ms	(* y (log y))

simplify2.5s

Counts

153 → 153

Iterations

Iter	Nodes
done	5004
2	2426
1	652
0	252

prune826.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* y (log (cbrt y))) (* y (log (cbrt y)))) (* y (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`add-sqr-sqrt` `associate-+r+` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
6×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`sum-log` `pow1/3` `distribute-lft-out`
2×	`count-2`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `flip-+`

Counts

4 → 74

Calls

4 calls:

47.0ms	(+ (+ (* y (log (cbrt y))) (* y (log (cbrt y)))) (* y (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

456.0ms	(+ (+ (* y (log (cbrt y))) (* y (log (cbrt y)))) (* y (log (cbrt y))))
272.0ms	(cbrt y)
266.0ms	(cbrt y)
239.0ms	(cbrt y)

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1169
1	248
0	97

prune540.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

948.0ms	8040×	body	80	valid
401.0ms	7802×	body	80	nan
0.0ms	1×	body	640	valid