Details

sample164.0ms

Algorithm

intervals

Results

85.0ms	1622×	body	80	nan
16.0ms	256×	body	80	valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	60	15
3	130	15
4	330	15
5	805	15
6	1457	15
7	2238	15
8	2435	15
9	2442	15
done	2442	15

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`pow1` `log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `log-pow` `distribute-lft-out`
4×	`associate-+l+` `fma-def`
3×	`associate-+r+`
2×	`add-exp-log` `expm1-log1p-u` `associate-+l-` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
7.0ms	(+ (log (+ x y)) (log z))

series166.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
75.0ms	(+ (log (+ x y)) (log z))

simplify877.0ms

Counts

46 → 46

Iterations

Useful iterations: done (875.0ms)

Iter	Nodes	Cost
0	114	567
1	263	548
2	638	490
3	2175	479
done	5000	476

prune204.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`pow1` `log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `log-pow` `distribute-lft-out`
4×	`associate-+l+` `fma-def`
3×	`associate-+r+`
2×	`add-exp-log` `expm1-log1p-u` `associate-+l-` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
6.0ms	(+ (log (+ x y)) (log z))

series159.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
71.0ms	(+ (log (+ x y)) (log z))

simplify1.1s

Counts

46 → 46

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	114	567
1	263	548
2	638	490
3	2175	479
done	5000	476

prune211.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (log z) (log z) (* (log (+ x y)) (- (log (+ x y)) (log z))))
0.5b	(- (log (+ x y)) (log z))
0.7b	(pow (log z) 3)
0.7b	(pow (log (+ x y)) 3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
23×	`pow1` `add-sqr-sqrt`
21×	`add-cube-cbrt`
17×	`log-pow`
16×	`prod-diff`
8×	`unpow-prod-down` `cube-prod`
7×	`log-prod`
6×	`add-exp-log` `pow-unpow` `add-cbrt-cube`
4×	`expm1-log1p-u` `fma-neg` `associate--l+` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`associate--r+`
2×	`associate--l-` `cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

0.0ms	(fma (log z) (log z) (* (log (+ x y)) (- (log (+ x y)) (log z))))
7.0ms	(- (log (+ x y)) (log z))
2.0ms	(pow (log z) 3)
2.0ms	(pow (log (+ x y)) 3)

series815.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(fma (log z) (log z) (* (log (+ x y)) (- (log (+ x y)) (log z))))
69.0ms	(- (log (+ x y)) (log z))
173.0ms	(pow (log z) 3)
307.0ms	(pow (log (+ x y)) 3)

simplify792.0ms

Counts

124 → 124

Iterations

Useful iterations: done (789.0ms)

Iter	Nodes	Cost
0	181	1621
1	408	1248
2	1554	1117
done	5000	1098

prune521.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))

rewrite29.0ms

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:

5.0ms	(* (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))))
7.0ms	(+ (log (+ x y)) (log z))
6.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))

series1.3s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (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))))
72.0ms	(+ (log (+ x y)) (log z))
71.0ms	(+ (log (+ x y)) (log z))
75.0ms	(+ (log (+ x y)) (log z))

simplify883.0ms

Counts

144 → 144

Iterations

Useful iterations: done (878.0ms)

Iter	Nodes	Cost
0	285	3590
1	832	3330
2	3257	3054
done	5001	3053

prune643.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes651.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	23	39
1	28	37
done	28	37

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.8s	55100×	body	80	nan
518.0ms	8032×	body	80	valid