Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	258×	body	80	valid
15.0ms	236×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3919
5	1752
4	591
3	184
2	61
1	21
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `diff-log` `add-exp-log` `associate--r+`
4×	`sum-log` `associate-r` `associate-l` `insert-posit16`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `flip3--` `associate-*l/` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
149.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
15.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
28.0ms	(* (+ y 0.5) (log y))

series588.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- x (* (+ y 0.5) (log y)))
71.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
65.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
402.0ms	(* (+ y 0.5) (log y))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1386
1	465
0	177

prune436.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-log-exp`
18×	`log-prod`
16×	`add-sqr-sqrt`
12×	`associate--l+` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l+`
7×	`pow1`
6×	`add-cbrt-cube` `diff-log` `add-exp-log`
4×	`sum-log` `associate-r` `associate-l` `insert-posit16`
3×	`sub-neg` `distribute-lft-out`
2×	`flip3-+` `flip3--` `associate-*l/` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`
1×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `associate--r+` `associate--r-` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

59.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
74.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
15.0ms	(* (+ y 0.5) (log y))
15.0ms	(- (* (+ y 0.5) (log y)) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
72.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
416.0ms	(* (+ y 0.5) (log y))
574.0ms	(- (* (+ y 0.5) (log y)) y)

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1353
1	487
0	183

prune416.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (log (sqrt y)) (+ y 0.5)) y))
0.1b	(* (log (sqrt y)) (+ y 0.5))
0.1b	(* (log (sqrt y)) (+ y 0.5))
0.1b	(- (* (log (sqrt y)) (+ y 0.5)) y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `associate-l*`
11×	`add-log-exp`
8×	`add-cbrt-cube` `associate-r` `associate-*r/` `add-exp-log` `add-cube-cbrt`
6×	`log-pow`
5×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
4×	`associate-+r+` `frac-add` `associate--l+` `insert-posit16`
3×	`flip3--` `flip--`
2×	`associate-+l+` `sum-log` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `associate-+r-`

Counts

4 → 93

Calls

4 calls:

27.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (log (sqrt y)) (+ y 0.5)) y))
19.0ms	(* (log (sqrt y)) (+ y 0.5))
15.0ms	(* (log (sqrt y)) (+ y 0.5))
10.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)

series548.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (log (sqrt y)) (+ y 0.5)) y))
119.0ms	(* (log (sqrt y)) (+ y 0.5))
96.0ms	(* (log (sqrt y)) (+ y 0.5))
161.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)

simplify1.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	1970
1	474
0	149

prune537.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite14.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt y) (cbrt y))
270.0ms	(cbrt y)
263.0ms	(cbrt y)
275.0ms	(cbrt y)

simplify2.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune436.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample2.2s

Algorithm

intervals

Results

877.0ms	8042×	body	80	valid
609.0ms	8234×	body	80	nan
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid