Details

sample356.0ms

Algorithm

intervals

Results

142.0ms	885×	body	80	nan
42.0ms	306×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	448	18
4	1850	18
done	5000	18

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x (log y)) z) t) a)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`add-log-exp`
22×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt` `sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`distribute-lft-out`
6×	`associate-+r+` `associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

292.0ms	(+ (+ (+ (* x (log y)) z) t) a)
1.2s	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
42.0ms	(* (- b 0.5) (log c))
17.0ms	(* x (log y))

series764.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ (+ (+ (* x (log y)) z) t) a)
433.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
112.0ms	(* (- b 0.5) (log c))
71.0ms	(* x (log y))

simplify2.8s

Counts

124 → 124

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	233	1779
1	618	1594
2	2857	1478
done	5000	1466

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

15.0ms	(* x (log y))
76.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.2s

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (log y))
498.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
352.0ms	(cbrt c)
322.0ms	(cbrt c)

simplify2.6s

Counts

128 → 128

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	244	2056
1	667	1727
2	3098	1290
done	5000	1179

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt c))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `log-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`pow1/3`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

1.0ms	(fma (* 2 (log (cbrt c))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
38.0ms	(* x (log y))
3.0ms	(cbrt c)
3.0ms	(cbrt c)

series1.3s

Counts

4 → 12

Calls

4 calls:

545.0ms	(fma (* 2 (log (cbrt c))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
80.0ms	(* x (log y))
327.0ms	(cbrt c)
338.0ms	(cbrt c)

simplify2.3s

Counts

75 → 75

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	117	627
1	228	604
2	623	478
3	2722	402
done	5001	398

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (pow c 1/3))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
0.3b	(* x (log y))
0.6b	(cbrt c)
5.1b	(pow c 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`add-exp-log`
6×	`log-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `associate-l`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

1.0ms	(fma (* 2 (log (pow c 1/3))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
16.0ms	(* x (log y))
2.0ms	(cbrt c)
5.0ms	(pow c 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

602.0ms	(fma (* 2 (log (pow c 1/3))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
72.0ms	(* x (log y))
360.0ms	(cbrt c)
344.0ms	(pow c 1/3)

simplify2.7s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	156	721
1	345	649
2	952	508
3	4029	454
done	5000	454

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	32
1	36	32
done	36	32

end0.0ms

sample12.7s

Algorithm

intervals

Results

5.3s	27283×	body	80	nan
2.8s	9230×	body	80	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid