Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
8.0ms	303×	body	80	nan

simplify23.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (111.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `add-log-exp`
15×	`prod-diff`
7×	`distribute-lft-out`
6×	`pow1` `log-prod`
5×	`add-exp-log` `associate-+l+` `diff-log` `add-cbrt-cube`
4×	`fma-neg` `associate-r` `associate-l` `sum-log`
3×	`distribute-rgt-in` `expm1-log1p-u` `fma-def` `distribute-lft-in` `log1p-expm1-u`
2×	`associate-+l-` `sub-neg` `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 → 91

Calls

3 calls:

149.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
24.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
24.0ms	(* (+ y 0.5) (log y))

series341.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
46.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
236.0ms	(* (+ y 0.5) (log y))

simplify930.0ms

Counts

100 → 100

Iterations

Useful iterations: done (926.0ms)

Iter	Nodes	Cost
0	179	1585
1	447	1404
2	1360	1239
done	5000	1140

prune225.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`distribute-lft-out`
4×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `fma-udef` `difference-of-squares`

Counts

2 → 45

Calls

2 calls:

46.0ms	(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
0.0ms	(fma (- (log y)) (+ y 0.5) y)

series328.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
279.0ms	(fma (- (log y)) (+ y 0.5) y)

simplify2.3s

Counts

51 → 51

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	108	1020
1	245	889
2	735	757
3	4513	641
done	5000	640

prune126.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- x (+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))) y)
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`add-log-exp`
13×	`associate-+l+`
12×	`cbrt-prod` `associate-+r+` `log-prod`
9×	`prod-diff`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`fma-def` `flip3-+` `flip-+`
5×	`sum-log`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `associate-r/` `associate-l/` `frac-add` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `pow1/3` `diff-log` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `sub-neg` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

419.0ms	(+ (- x (+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))) y)
34.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (- x (+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))) y)
776.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
178.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	182	2401
1	562	2030
2	2175	1458
done	5001	1381

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`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 → 58

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series870.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (cbrt y))
249.0ms	(cbrt (cbrt y))
185.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	46	374
1	79	356
2	151	328
3	308	316
4	972	316
5	4697	316
done	5001	304

prune319.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes105.0ms

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	12	12
done	12	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

277.0ms	8034×	body	80	valid
220.0ms	8242×	body	80	nan
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid