Details

sample83.0ms

Algorithm

intervals

Results

31.0ms	293×	body	80	nan
22.0ms	257×	body	80	valid
0.0ms	1×	body	640	valid

simplify36.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (212.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	203	12
4	476	11
5	1030	11
6	1721	11
7	2404	11
8	2731	11
9	2785	11
10	3029	11
11	3277	11
12	3518	11
13	3822	11
14	4176	11
15	4222	11
16	4242	11
done	4242	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`add-log-exp`
18×	`prod-diff`
12×	`log-prod`
7×	`pow1` `fma-neg` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
5×	`associate-+l+`
4×	`expm1-log1p-u` `associate-r` `associate-l` `sum-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def`
2×	`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 → 117

Calls

4 calls:

246.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
15.0ms	(- x (* (+ y 0.5) (log y)))
49.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
59.0ms	(* (+ y 0.5) (log y))

series623.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
65.0ms	(- x (* (+ y 0.5) (log y)))
74.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
385.0ms	(* (+ y 0.5) (log y))

simplify2.2s

Counts

129 → 129

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	212	1986
1	537	1749
2	1734	1552
done	5001	1466

prune410.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

7.0ms	(- x (* (+ y 0.5) (log y)))
67.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
39.0ms	(* (+ y 0.5) (log y))

series536.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- x (* (+ y 0.5) (log y)))
96.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
388.0ms	(* (+ y 0.5) (log y))

simplify2.6s

Counts

108 → 108

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	215	1707
1	613	1534
2	2207	1392
done	5000	1369

prune493.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.2b	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`cbrt-prod`
12×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
9×	`add-log-exp`
7×	`pow1`
6×	`add-exp-log` `prod-diff` `associate-*l/` `add-cbrt-cube`
5×	`associate-r` `associate--l+`
4×	`expm1-log1p-u` `associate-l` `frac-sub` `log1p-expm1-u`
3×	`flip3--` `flip3-+` `fma-neg` `pow1/3` `diff-log` `flip--` `flip-+`
2×	`sub-neg` `log-pow`
1×	`associate--l-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

36.0ms	(* (+ y 0.5) (log (cbrt y)))
52.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

704.0ms	(* (+ y 0.5) (log (cbrt y)))
135.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
331.0ms	(cbrt y)
315.0ms	(cbrt y)

simplify3.1s

Counts

118 → 118

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	203	2063
1	586	1913
2	2421	1567
done	5000	1504

prune561.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
30×	`log-prod`
29×	`add-cube-cbrt`
27×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-log-exp`
15×	`prod-diff`
14×	`sqrt-div` `associate-l`
12×	`pow1` `associate--r+`
11×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
10×	`associate-*l/`
9×	`sqrt-prod`
8×	`flip3-+` `flip-+`
5×	`associate-+l+` `flip3--` `diff-log` `associate-r` `flip--`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out`
3×	`sub-neg` `fma-def` `fma-neg`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `associate-+r-` `log-pow` `distribute-lft-out--`

Counts

4 → 153

Calls

4 calls:

19.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
46.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) (- y z))
43.0ms	(* (sqrt (+ y 0.5)) (log y))
77.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series675.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
71.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) (- y z))
98.0ms	(* (sqrt (+ y 0.5)) (log y))
439.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify2.6s

Counts

165 → 165

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	327	3552
1	862	2353
2	2788	2123
done	5000	2085

prune671.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes163.0ms

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	11	12
done	11	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

719.0ms	8034×	body	80	valid
616.0ms	7956×	body	80	nan
0.0ms	2×	body	640	valid