Details

sample459.0ms

Algorithm

intervals

Results

242.0ms	2044×	body	80	nan
29.0ms	256×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

localize35.0ms

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))

rewrite155.0ms

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:

133.0ms	(- (+ (log (+ x y)) (log z)) t)
0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
13.0ms	(+ (log (+ x y)) (log z))

series533.0ms

Counts

3 → 9

Calls

3 calls:

270.0ms	(- (+ (log (+ x y)) (log z)) t)
152.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
110.0ms	(+ (log (+ x y)) (log z))

simplify881.0ms

Counts

101 → 101

Iterations

Useful iterations: done (876.0ms)

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

prune490.0ms

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)))

rewrite106.0ms

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))
7.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))
80.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (+ x y))
149.0ms	(cbrt (+ x y))
163.0ms	(cbrt (+ x y))
236.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify828.0ms

Counts

115 → 115

Iterations

Useful iterations: done (825.0ms)

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

prune670.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

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)

rewrite41.0ms

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:

18.0ms	(- (log z) (log (+ x y)))
11.0ms	(* (log z) (log z))
4.0ms	(pow (log (+ x y)) 3)
3.0ms	(pow (log z) 3)

series970.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (log z) (log (+ x y)))
200.0ms	(* (log z) (log z))
426.0ms	(pow (log (+ x y)) 3)
259.0ms	(pow (log z) 3)

simplify3.6s

Counts

152 → 152

Iterations

Useful iterations: 2 (866.0ms)

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

prune799.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize32.0ms

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))))

rewrite57.0ms

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:

13.0ms	(+ (log (+ x y)) (log z))
14.0ms	(+ (log (+ x y)) (log z))
14.0ms	(+ (log (+ x y)) (log z))
12.0ms	(* (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))))

series1.7s

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (log (+ x y)) (log z))
89.0ms	(+ (log (+ x y)) (log z))
99.0ms	(+ (log (+ x y)) (log z))
1.4s	(* (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))))

simplify1.8s

Counts

144 → 144

Iterations

Useful iterations: done (1.8s)

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

prune833.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample11.3s

Algorithm

intervals

Results

5.9s	55897×	body	80	nan
1.5s	8043×	body	80	valid