Details

sample234.0ms

Algorithm

intervals

Results

95.0ms	846×	body	80	nan
55.0ms	186×	body	80	valid
15.0ms	11×	body	1280	valid
13.0ms	30×	body	320	valid
9.0ms	15×	body	640	valid
4.0ms	15×	body	160	valid

simplify718.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	618
7	187
6	90
5	59
4	44
3	38
2	30
1	21
0	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
5.0b	(log (- 1.0 y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+r+`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-r`
6×	`associate-+l+` `associate-l` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`insert-posit16`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `rem-log-exp` `flip-+` `flip--`

Counts

4 → 101

Calls

4 calls:

17.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
18.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series334.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
105.0ms	(* z (log (- 1.0 y)))
59.0ms	(* x (log y))
47.0ms	(log (- 1.0 y))

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1494
1	490
0	212

prune785.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))))
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
0.3b	(* x (log y))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
21×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
12×	`associate--l+`
10×	`associate-+r+` `associate-r`
9×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+l+` `associate-l`
5×	`add-log-exp`
4×	`sub-neg`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `associate-r/` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

24.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))))
67.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
7.0ms	(* x (log y))

series350.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))))
136.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
51.0ms	(* x (log y))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1302
1	409
0	175

prune618.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod` `add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`log-prod`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`pow1/3` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

7.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series898.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* x (log (cbrt y)))
247.0ms	(cbrt y)
264.0ms	(cbrt y)
278.0ms	(cbrt y)

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	2583
2	532
1	168
0	83

prune585.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series1.1s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt y)
254.0ms	(cbrt y)
313.0ms	(cbrt (cbrt y))
306.0ms	(cbrt (cbrt y))

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
4	2273
3	651
2	189
1	79
0	44

prune584.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes377.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.5s	24709×	body	80	nan
819.0ms	5596×	body	80	valid
545.0ms	878×	body	640	valid
423.0ms	399×	body	1280	valid
317.0ms	726×	body	320	valid
106.0ms	448×	body	160	valid