Details

sample76.0ms

Algorithm

intervals

Results

21.0ms	257×	body	80	valid
16.0ms	255×	body	80	nan

simplify16.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	185	12
4	431	12
5	875	12
6	1528	12
7	1853	12
8	2082	12
9	2098	12
10	2292	12
11	2327	12
12	2386	12
13	2422	12
14	2490	12
15	2494	12
done	2494	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

199.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
24.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
46.0ms	(* (+ y 0.5) (log y))

series516.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
67.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
362.0ms	(* (+ y 0.5) (log y))

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	148	1008
1	374	941
2	1173	864
3	4990	839
done	5000	839

prune229.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

373.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
29.0ms	(- x (- (* (+ y 0.5) (log y)) y))
23.0ms	(- (* (+ y 0.5) (log y)) y)
39.0ms	(* (+ y 0.5) (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
63.0ms	(- x (- (* (+ y 0.5) (log y)) y))
652.0ms	(- (* (+ y 0.5) (log y)) y)
413.0ms	(* (+ y 0.5) (log y))

simplify898.0ms

Counts

103 → 103

Iterations

Useful iterations: done (893.0ms)

Iter	Nodes	Cost
0	180	1399
1	439	1283
2	1340	1202
done	5000	1164

prune305.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt y) (cbrt y))
260.0ms	(cbrt y)
238.0ms	(cbrt y)
259.0ms	(cbrt y)

simplify4.9s

Counts

85 → 85

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune408.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y))
0.1b	(- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y)
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
39×	`distribute-rgt-in` `distribute-lft-in`
29×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`associate--l+`
23×	`add-cube-cbrt`
14×	`sqrt-div` `associate-l` `associate--r+`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
9×	`sqrt-prod`
7×	`flip3-+` `flip-+`
5×	`associate-r`
4×	`frac-times` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `distribute-lft-out` `unswap-sqr`
1×	`log-pow` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

133.0ms	(- x (- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y))
72.0ms	(- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y)
62.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
25.0ms	(* (sqrt (+ y 0.5)) (log y))

series1.5s

Counts

4 → 12

Calls

4 calls:

72.0ms	(- x (- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y))
760.0ms	(- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y)
493.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
130.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify1.3s

Counts

140 → 140

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	260	2599
1	600	1768
2	1725	1593
done	5000	1555

prune456.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	12	12
done	12	12

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8041×	body	80	valid
529.0ms	7960×	body	80	nan
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid