Details

sample62.0ms

Algorithm

intervals

Results

16.0ms	257×	body	80	valid
15.0ms	293×	body	80	nan
0.0ms	1×	body	640	valid

simplify34.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (164.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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

rewrite360.0ms

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:

265.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
14.0ms	(- x (* (+ y 0.5) (log y)))
33.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
45.0ms	(* (+ y 0.5) (log y))

series660.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
56.0ms	(- x (* (+ y 0.5) (log y)))
71.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
431.0ms	(* (+ y 0.5) (log y))

simplify2.0s

Counts

129 → 129

Iterations

Useful iterations: done (2.0s)

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

prune457.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite89.0ms

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:

8.0ms	(- x (* (+ y 0.5) (log y)))
39.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
38.0ms	(* (+ y 0.5) (log y))

series484.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- x (* (+ y 0.5) (log y)))
98.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
332.0ms	(* (+ y 0.5) (log y))

simplify2.4s

Counts

108 → 108

Iterations

Useful iterations: done (2.4s)

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

prune415.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

36.0ms	(* (log (cbrt y)) (+ y 0.5))
53.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

675.0ms	(* (log (cbrt y)) (+ y 0.5))
151.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
255.0ms	(cbrt y)
298.0ms	(cbrt y)

simplify2.2s

Counts

98 → 98

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	176	1674
1	499	1486
2	2208	1224
done	5001	1177

prune477.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt y)
249.0ms	(cbrt y)
293.0ms	(cbrt y)
288.0ms	(cbrt y)

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	162	232
4	407	232
5	1333	232
done	5000	232

prune390.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	23
1	20	23
done	20	23

end0.0ms

sample1.6s

Algorithm

intervals

Results

577.0ms	8034×	body	80	valid
405.0ms	7956×	body	80	nan
0.0ms	2×	body	640	valid