Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	300×	body	80	valid
8.0ms	293×	body	80	nan

simplify885.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	46	12
3	84	12
4	145	12
5	184	12
6	237	12
7	346	12
8	540	12
9	704	12
10	745	12
11	746	12
done	746	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

15.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
45.0ms	(* y (+ (- 1.0 z) (log z)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ (- 1.0 z) (log z))
62.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify535.0ms

Counts

70 → 70

Iterations

Useful iterations: done (533.0ms)

Iter	Nodes	Cost
0	132	839
1	351	775
2	1107	704
done	5000	703

prune153.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-l`
6×	`add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`associate-+r+` `log-prod` `flip3-+` `associate-r` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l+` `associate-*l/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

15.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* (+ (- 1.0 z) (log z)) y))
49.0ms	(* (+ (- 1.0 z) (log z)) y)

series305.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(+ (- 1.0 z) (log z))
63.0ms	(+ (* x 0.5) (* (+ (- 1.0 z) (log z)) y))
77.0ms	(* (+ (- 1.0 z) (log z)) y)

simplify556.0ms

Counts

66 → 66

Iterations

Useful iterations: done (554.0ms)

Iter	Nodes	Cost
0	128	823
1	327	767
2	1098	698
done	5000	695

prune161.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-+r+` `associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

16.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
11.0ms	(* (- 1.0 z) y)
7.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
4.0ms	(* y (log z))

series229.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
29.0ms	(* (- 1.0 z) y)
95.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
39.0ms	(* y (log z))

simplify659.0ms

Counts

89 → 89

Iterations

Useful iterations: done (657.0ms)

Iter	Nodes	Cost
0	165	1062
1	410	954
2	1329	822
done	5000	820

prune220.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`distribute-neg-in`
16×	`*-un-lft-identity` `add-log-exp`
15×	`associate-r`
14×	`add-cube-cbrt`
12×	`log-prod`
10×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-+r+` `sum-log`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+r-`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`+-commutative` `neg-sub0` `flip3-+` `unsub-neg` `pow-prod-down` `neg-log` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`neg-mul-1` `flip3--` `distribute-rgt-neg-out` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

16.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (- (* y (- (log z))))))
10.0ms	(* (- 1.0 z) y)
8.0ms	(+ (* (- 1.0 z) y) (- (* y (- (log z)))))
12.0ms	(* y (- (log z)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (- (* y (- (log z))))))
30.0ms	(* (- 1.0 z) y)
100.0ms	(+ (* (- 1.0 z) y) (- (* y (- (log z)))))
39.0ms	(* y (- (log z)))

simplify1.0s

Counts

106 → 106

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	200	1304
1	519	1148
2	1853	948
done	5000	948

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes142.0ms

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	11	12
1	15	12
done	15	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

341.0ms	9156×	body	80	valid
265.0ms	9113×	body	80	nan