Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	304×	body	80	nan
9.0ms	256×	body	80	valid
0.0ms	1×	body	160	valid

simplify11.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	60	12
3	163	12
4	484	12
5	874	12
6	1423	12
7	1988	12
8	2158	12
9	2260	12
10	2457	12
11	2553	12
12	2653	12
13	2791	12
14	2901	12
15	2905	12
done	2905	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)
0.2b	(* (+ y 0.5) (log y))

rewrite87.0ms

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×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
17.0ms	(* (+ y 0.5) (log y))

series411.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- x (* (+ y 0.5) (log y)))
61.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
47.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
262.0ms	(* (+ y 0.5) (log y))

simplify867.0ms

Counts

93 → 93

Iterations

Useful iterations: done (864.0ms)

Iter	Nodes	Cost
0	172	1294
1	439	1175
2	1336	1094
done	5000	1063

prune254.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-log-exp`
18×	`log-prod`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `associate--l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l+`
7×	`pow1`
6×	`add-exp-log` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `flip3--` `flip3-+` `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 → 87

Calls

4 calls:

44.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
29.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
6.0ms	(- (* (+ y 0.5) (log y)) y)
11.0ms	(* (+ y 0.5) (log y))

series845.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
64.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
460.0ms	(- (* (+ y 0.5) (log y)) y)
259.0ms	(* (+ y 0.5) (log y))

simplify630.0ms

Counts

99 → 99

Iterations

Useful iterations: done (627.0ms)

Iter	Nodes	Cost
0	177	1351
1	451	1235
2	1366	1159
done	5001	1132

prune287.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (+ y 0.5) (log (sqrt y))) y)
0.2b	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (+ y 0.5) (log (sqrt y))) y))
0.2b	(* (log (sqrt y)) (+ y 0.5))
0.2b	(* (+ y 0.5) (log (sqrt y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

7.0ms	(- (* (+ y 0.5) (log (sqrt y))) y)
20.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (+ y 0.5) (log (sqrt y))) y))
15.0ms	(* (log (sqrt y)) (+ y 0.5))
13.0ms	(* (+ y 0.5) (log (sqrt y)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(- (* (+ y 0.5) (log (sqrt y))) y)
186.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (+ y 0.5) (log (sqrt y))) y))
98.0ms	(* (log (sqrt y)) (+ y 0.5))
100.0ms	(* (+ y 0.5) (log (sqrt y)))

simplify1.0s

Counts

131 → 131

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	219	2211
1	604	1991
2	2127	1741
done	5001	1739

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (log (sqrt y)) (log (fabs (cbrt y))))
0.3b	(+ (* (+ y 0.5) (+ (log (sqrt y)) (log (fabs (cbrt y))))) (- (* (+ y 0.5) (log (sqrt (cbrt y)))) y))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
23×	`associate-+r+`
19×	`*-un-lft-identity`
18×	`associate--l+`
16×	`frac-add`
15×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod`
14×	`flip3-+` `flip-+`
12×	`cbrt-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-log-exp`
8×	`pow1` `frac-times` `associate-+l+` `flip3--` `flip--`
4×	`add-exp-log` `associate-r/` `associate-l/` `log-pow` `add-cbrt-cube` `distribute-lft-out`
3×	`sum-log`
2×	`+-commutative` `pow1/3`
1×	`associate-+r-` `sub-neg` `diff-log`

Counts

4 → 97

Calls

4 calls:

6.0ms	(+ (log (sqrt y)) (log (fabs (cbrt y))))
27.0ms	(+ (* (+ y 0.5) (+ (log (sqrt y)) (log (fabs (cbrt y))))) (- (* (+ y 0.5) (log (sqrt (cbrt y)))) y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series823.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (log (sqrt y)) (log (fabs (cbrt y))))
316.0ms	(+ (* (+ y 0.5) (+ (log (sqrt y)) (log (fabs (cbrt y))))) (- (* (+ y 0.5) (log (sqrt (cbrt y)))) y))
202.0ms	(cbrt y)
211.0ms	(cbrt y)

simplify1.4s

Counts

109 → 109

Iterations

Useful iterations: 2 (448.0ms)

Iter	Nodes	Cost
0	316	3555
1	1080	3228
2	4201	3084
done	5000	3084

prune606.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample855.0ms

Algorithm

intervals

Results

287.0ms	8035×	body	80	valid
226.0ms	8186×	body	80	nan