Details

sample505.0ms

Algorithm

intervals

Results

278.0ms	2044×	body	80	nan
29.0ms	256×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	157	15
4	459	15
5	1725	15
done	5001	15

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.5b	(+ (log (+ x y)) (log z))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

95.0ms	(- (+ (log (+ x y)) (log z)) t)
0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
21.0ms	(+ (log (+ x y)) (log z))

series531.0ms

Counts

3 → 9

Calls

3 calls:

287.0ms	(- (+ (log (+ x y)) (log z)) t)
152.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
92.0ms	(+ (log (+ x y)) (log z))

simplify1.0s

Counts

101 → 101

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	170	1568
1	405	1344
2	1394	1147
done	5001	1084

prune481.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

7.0ms	(cbrt (+ x y))
15.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
48.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series795.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (+ x y))
177.0ms	(cbrt (+ x y))
190.0ms	(cbrt (+ x y))
233.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify941.0ms

Counts

115 → 115

Iterations

Useful iterations: done (938.0ms)

Iter	Nodes	Cost
0	120	1316
1	288	1186
2	1176	1128
done	5001	1104

prune873.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (log z) (log (+ x y)))
0.6b	(* (log z) (log z))
0.7b	(pow (log (+ x y)) 3)
0.8b	(pow (log z) 3)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
35×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
23×	`log-pow`
16×	`prod-diff`
13×	`log-prod`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `associate-l` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `difference-of-squares` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

36.0ms	(- (log z) (log (+ x y)))
11.0ms	(* (log z) (log z))
4.0ms	(pow (log (+ x y)) 3)
4.0ms	(pow (log z) 3)

series1.1s

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (log z) (log (+ x y)))
245.0ms	(* (log z) (log z))
448.0ms	(pow (log (+ x y)) 3)
290.0ms	(pow (log z) 3)

simplify4.5s

Counts

152 → 152

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	184	1771
1	520	1259
2	3601	1087
done	5000	1087

prune824.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(* (cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`pow1`
21×	`add-cube-cbrt` `log-prod`
16×	`cbrt-prod`
15×	`log-pow` `distribute-lft-out`
12×	`associate-+l+` `fma-def`
9×	`associate-+r+`
6×	`add-exp-log` `associate-+l-` `log-div` `flip3-+` `pow1/3` `swap-sqr` `associate-r` `associate-l` `flip-+`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`+-commutative` `sum-log`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

26.0ms	(+ (log (+ x y)) (log z))
39.0ms	(+ (log (+ x y)) (log z))
28.0ms	(+ (log (+ x y)) (log z))
16.0ms	(* (cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))))

series2.2s

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (log (+ x y)) (log z))
139.0ms	(+ (log (+ x y)) (log z))
107.0ms	(+ (log (+ x y)) (log z))
1.9s	(* (cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))))

simplify2.6s

Counts

144 → 144

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	285	3590
1	875	3330
2	4417	3033
done	5000	3026

prune999.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	27
1	21	27
done	21	27

end0.0ms

sample12.8s

Algorithm

intervals

Results

6.7s	55897×	body	80	nan
1.8s	8043×	body	80	valid