Details

sample74.0ms

Algorithm

intervals

Results

32.0ms	287×	body	80	valid
13.0ms	255×	body	80	nan

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

60.0ms	(+ (- 1.0 z) (log z))
1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
139.0ms	(* y (+ (- 1.0 z) (log z)))

series517.0ms

Counts

3 → 9

Calls

3 calls:

292.0ms	(+ (- 1.0 z) (log z))
92.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
132.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	136	897
1	336	826
2	1016	692
done	5001	690

prune338.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.0b	(fma x 0.5 (+ (* (- 1.0 z) y) (* (log z) y)))
0.2b	(+ (* (- 1.0 z) y) (* (log z) y))
0.3b	(* (log z) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

22.0ms	(* (- 1.0 z) y)
0.0ms	(fma x 0.5 (+ (* (- 1.0 z) y) (* (log z) y)))
23.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
8.0ms	(* (log z) y)

series363.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- 1.0 z) y)
98.0ms	(fma x 0.5 (+ (* (- 1.0 z) y) (* (log z) y)))
129.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
87.0ms	(* (log z) y)

simplify1.7s

Counts

82 → 82

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	139	855
1	348	736
2	1169	665
done	5000	659

prune310.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
0.2b	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

32.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
9.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.9s

Counts

4 → 12

Calls

4 calls:

368.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
950.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
342.0ms	(cbrt z)
233.0ms	(cbrt z)

simplify2.8s

Counts

89 → 89

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	122	1064
1	292	1029
2	891	916
3	4044	660
done	5000	660

prune414.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (fma 2/3 (log z) 1.0) z) y)
0.2b	(* (log (cbrt z)) y)
0.4b	(fma 2/3 (log z) 1.0)
0.6b	(cbrt z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`associate-l`
9×	`pow1` `add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`pow1/3` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

34.0ms	(* (- (fma 2/3 (log z) 1.0) z) y)
9.0ms	(* (log (cbrt z)) y)
0.0ms	(fma 2/3 (log z) 1.0)
1.0ms	(cbrt z)

series912.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (- (fma 2/3 (log z) 1.0) z) y)
180.0ms	(* (log (cbrt z)) y)
281.0ms	(fma 2/3 (log z) 1.0)
311.0ms	(cbrt z)

simplify3.1s

Counts

81 → 81

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	138	715
1	293	681
2	843	612
3	3259	598
done	5001	593

prune457.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	15	17
done	15	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	9155×	body	80	valid
695.0ms	9060×	body	80	nan