Details

sample55.0ms

Algorithm

intervals

Results

14.0ms	281×	body	80	valid
11.0ms	269×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	108	12
4	322	12
5	921	12
6	2246	12
7	3825	12
done	5001	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite253.0ms

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:

30.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
51.0ms	(+ (- 1.0 z) (log z))
168.0ms	(* y (+ (- 1.0 z) (log z)))

series577.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
313.0ms	(+ (- 1.0 z) (log z))
150.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	132	839
1	376	780
2	1790	706
done	5000	704

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
0.1b	(+ (* (- 1.0 z) y) (* (log z) y))
0.3b	(* (log z) y)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

58.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
30.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
17.0ms	(* (log z) y)

series739.0ms

Counts

3 → 9

Calls

3 calls:

485.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
141.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
113.0ms	(* (log z) y)

simplify898.0ms

Counts

53 → 53

Iterations

Useful iterations: done (889.0ms)

Iter	Nodes	Cost
0	113	746
1	333	613
2	1414	567
done	5001	558

prune173.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 z) (log z))
0.6b	(* (log z) (log z))
3.0b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
10.2b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
25×	`pow1` `add-sqr-sqrt`
18×	`distribute-lft-out--`
15×	`add-cube-cbrt`
13×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
12×	`log-pow`
10×	`associate--l+`
9×	`log-prod`
8×	`sub-neg` `times-frac` `associate-r` `associate-/r*`
7×	`associate-l` `add-log-exp`
6×	`swap-sqr`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`diff-log` `prod-exp` `cbrt-unprod` `associate--r+`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`associate--l-` `pow2` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 128

Calls

4 calls:

75.0ms	(- (- 1.0 z) (log z))
20.0ms	(* (log z) (log z))
139.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
148.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series968.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(- (- 1.0 z) (log z))
240.0ms	(* (log z) (log z))
126.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
288.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify3.4s

Counts

140 → 140

Iterations

Useful iterations: 2 (817.0ms)

Iter	Nodes	Cost
0	249	2451
1	759	2227
2	4821	1952
done	5001	1952

prune481.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (- 1.0 z) (log z)))
0.6b	(* (log z) (log z))
3.0b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
10.2b	(* (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (/ 1 (- (- 1.0 z) (log z))))

rewrite431.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
48×	`times-frac`
42×	`distribute-lft-out--`
39×	`pow1`
38×	`associate-r`
37×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`log-pow`
14×	`prod-exp`
13×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-l` `associate--l+` `associate-/r*` `cbrt-unprod` `difference-of-squares`
7×	`associate-*r/`
6×	`sub-neg` `log-prod` `swap-sqr` `div-exp`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `-commutative` `associate-/l`
2×	`frac-times` `associate-*l/` `div-inv` `unswap-sqr`
1×	`pow2` `pow-flip` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `un-div-inv` `pow-prod-up` `inv-pow`

Counts

4 → 181

Calls

4 calls:

42.0ms	(/ 1 (- (- 1.0 z) (log z)))
10.0ms	(* (log z) (log z))
96.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
268.0ms	(* (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (/ 1 (- (- 1.0 z) (log z))))

series690.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (- (- 1.0 z) (log z)))
210.0ms	(* (log z) (log z))
121.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
320.0ms	(* (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (/ 1 (- (- 1.0 z) (log z))))

simplify695.0ms

Counts

193 → 193

Iterations

Useful iterations: done (687.0ms)

Iter	Nodes	Cost
0	322	3836
1	980	3340
done	5001	2900

prune640.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	9107×	body	80	valid
599.0ms	8871×	body	80	nan