Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	257×	body	80	valid
11.0ms	258×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (151.0ms)

Iter	Nodes	Cost
0	10	274
1	21	274
2	63	274
3	208	274
4	1080	249
done	5000	249

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
25.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

series469.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- x (* (+ y 0.5) (log y)))
62.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
346.0ms	(* (+ y 0.5) (log y))

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	155	26032
1	425	23927
2	1820	22760
done	5001	22598

prune519.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
0.2b	(* (log y) (+ y 0.5))
0.2b	(* (log y) (+ y 0.5))
34.3b	(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

21.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
32.0ms	(* (log y) (+ y 0.5))
32.0ms	(* (log y) (+ y 0.5))
1.0ms	(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

series1.1s

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
322.0ms	(* (log y) (+ y 0.5))
336.0ms	(* (log y) (+ y 0.5))
327.0ms	(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

simplify2.2s

Counts

95 → 95

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	120	27525
1	350	25630
2	1814	23647
done	5001	23254

prune719.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

20.0ms	(+ x (- y (* (log y) (+ y 0.5))))
9.0ms	(- y (* (log y) (+ y 0.5)))
24.0ms	(* (log y) (+ y 0.5))

series1.2s

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ x (- y (* (log y) (+ y 0.5))))
673.0ms	(- y (* (log y) (+ y 0.5)))
431.0ms	(* (log y) (+ y 0.5))

simplify2.7s

Counts

81 → 81

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	136	22586
1	393	20778
2	1867	20046
done	5001	19871

prune586.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 81

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt y) (cbrt y))
222.0ms	(cbrt y)
246.0ms	(cbrt y)
266.0ms	(cbrt y)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	65	18502
1	142	15989
2	725	15714
done	5001	15034

prune682.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	274
1	13	274
done	13	274

end0.0ms

sample1.7s

Algorithm

intervals

Results

722.0ms	8040×	body	80	valid
449.0ms	7802×	body	80	nan
0.0ms	1×	body	640	valid