Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	259×	body	80	valid
10.0ms	273×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

150.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
22.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
17.0ms	(* (+ y 0.5) (log y))

series533.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
65.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
396.0ms	(* (+ y 0.5) (log y))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1828
1	475
0	179

prune535.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

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))
33.6b	(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

rewrite51.0ms

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:

12.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
21.0ms	(* (log y) (+ y 0.5))
16.0ms	(* (log y) (+ y 0.5))
0.0ms	(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

series1.3s

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
421.0ms	(* (log y) (+ y 0.5))
413.0ms	(* (log y) (+ y 0.5))
361.0ms	(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1814
1	350
0	120

prune550.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

34.0ms	(- x (- (* (+ y 0.5) (log y)) y))
241.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
11.0ms	(- (* (+ y 0.5) (log y)) y)
17.0ms	(* (+ y 0.5) (log y))

series1.5s

Counts

4 → 12

Calls

4 calls:

68.0ms	(- x (- (* (+ y 0.5) (log y)) y))
86.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
1.0s	(- (* (+ y 0.5) (log y)) y)
335.0ms	(* (+ y 0.5) (log y))

simplify1.7s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
2	3209
1	699
0	256

prune726.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite20.0ms

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:

14.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

326.0ms	(* (cbrt y) (cbrt y))
254.0ms	(cbrt y)
219.0ms	(cbrt y)
274.0ms	(cbrt y)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune534.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes283.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

634.0ms	8031×	body	80	valid
494.0ms	8083×	body	80	nan
2.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid