Details

sample184.0ms

Algorithm

intervals

Results

64.0ms	808×	body	80	nan
24.0ms	257×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2214
4	521
3	129
2	52
1	21
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

81.0ms	(- (- (* x (log y)) y) z)
213.0ms	(+ (- (- (* x (log y)) y) z) (log t))
12.0ms	(- (* x (log y)) y)
14.0ms	(* x (log y))

series236.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (- (* x (log y)) y) z)
59.0ms	(+ (- (- (* x (log y)) y) z) (log t))
75.0ms	(- (* x (log y)) y)
60.0ms	(* x (log y))

simplify1.8s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	2173
1	573
0	220

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) (- (+ y z) (log t))))
0.2b	(* (log (sqrt y)) x)
0.2b	(* (log (sqrt y)) x)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(log (sqrt y))
145.0ms	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) (- (+ y z) (log t))))
9.0ms	(* (log (sqrt y)) x)
15.0ms	(* (log (sqrt y)) x)

series511.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(log (sqrt y))
121.0ms	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) (- (+ y z) (log t))))
144.0ms	(* (log (sqrt y)) x)
168.0ms	(* (log (sqrt y)) x)

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5002
2	1766
1	426
0	162

prune814.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`associate-+l+` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-+r+`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

8.0ms	(* x (log (cbrt y)))
27.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series795.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* x (log (cbrt y)))
132.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
328.0ms	(cbrt y)
226.0ms	(cbrt y)

simplify1.3s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1964
1	463
0	163

prune975.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.2b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
13.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

235.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
110.0ms	(* x (log (cbrt y)))
188.0ms	(cbrt y)
502.0ms	(cbrt y)

simplify1.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	2999
2	650
1	201
0	102

prune595.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes363.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.7s	24128×	body	80	nan
595.0ms	8013×	body	80	valid
1.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid