Details

sample79.0ms

Algorithm

intervals

Results

21.0ms	291×	body	80	nan
20.0ms	291×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3816
6	2185
5	878
4	312
3	107
2	51
1	25
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)))

rewrite134.0ms

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×	`associate-+r+` `add-cbrt-cube` `add-exp-log`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `sum-log` `flip3-+` `associate-l` `flip-+`
2×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

18.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
36.0ms	(+ (- 1.0 z) (log z))
79.0ms	(* y (+ (- 1.0 z) (log z)))

series498.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
307.0ms	(+ (- 1.0 z) (log z))
98.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1672
1	363
0	126

prune413.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) y)
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)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

36.0ms	(* (- 1.0 z) y)
45.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
25.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
20.0ms	(* (log z) y)

series368.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- 1.0 z) y)
95.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
127.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
109.0ms	(* (log z) y)

simplify1.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1715
1	391
0	139

prune514.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- 1.0 z) (+ (log (cbrt z)) (log (cbrt z)))) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
58×	`distribute-lft-out`
31×	`pow1`
27×	`log-pow`
13×	`add-log-exp`
12×	`cbrt-prod`
11×	`sum-log`
10×	`distribute-lft-out--`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`diff-log` `associate-+l-`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 78

Calls

4 calls:

399.0ms	(+ (+ (- 1.0 z) (+ (log (cbrt z)) (log (cbrt z)))) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

490.0ms	(+ (+ (- 1.0 z) (+ (log (cbrt z)) (log (cbrt z)))) (log (cbrt z)))
275.0ms	(cbrt z)
349.0ms	(cbrt z)
262.0ms	(cbrt z)

simplify1.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1332
1	250
0	89

prune480.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* 2/3 (log z)) (+ (- 1.0 z) (log (cbrt (sqrt z)))))
0.4b	(* 2/3 (log z))
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

97.0ms	(+ (* 2/3 (log z)) (+ (- 1.0 z) (log (cbrt (sqrt z)))))
15.0ms	(* 2/3 (log z))
3.0ms	(cbrt (sqrt z))
3.0ms	(cbrt (sqrt z))

series1.3s

Counts

4 → 12

Calls

4 calls:

601.0ms	(+ (* 2/3 (log z)) (+ (- 1.0 z) (log (cbrt (sqrt z)))))
216.0ms	(* 2/3 (log z))
273.0ms	(cbrt (sqrt z))
247.0ms	(cbrt (sqrt z))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1225
1	363
0	147

prune707.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes316.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	9296×	body	80	nan
867.0ms	9204×	body	80	valid