Details

sample148.0ms

Algorithm

intervals

Results

73.0ms	1622×	body	80	nan
14.0ms	256×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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	2241	15
8	2436	15
9	2443	15
done	2443	15

prune10.0ms

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))

series163.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
73.0ms	(+ (log (+ x y)) (log z))

simplify679.0ms

Counts

46 → 46

Iterations

Useful iterations: done (677.0ms)

Iter	Nodes	Cost
0	114	567
1	263	548
2	638	490
3	2187	479
done	5000	476

prune191.0ms

Pruning

8 alts after pruning (8 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))

rewrite10.0ms

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))
8.0ms	(+ (log (+ x y)) (log z))

series162.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
70.0ms	(+ (log (+ x y)) (log z))

simplify677.0ms

Counts

46 → 46

Iterations

Useful iterations: done (676.0ms)

Iter	Nodes	Cost
0	114	567
1	263	548
2	638	490
3	2187	479
done	5000	476

prune212.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

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)

series840.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(fma (log z) (log z) (* (log (+ x y)) (- (log (+ x y)) (log z))))
76.0ms	(- (log (+ x y)) (log z))
180.0ms	(pow (log z) 3)
307.0ms	(pow (log (+ x y)) 3)

simplify806.0ms

Counts

124 → 124

Iterations

Useful iterations: done (802.0ms)

Iter	Nodes	Cost
0	181	1621
1	408	1248
2	1670	1115
done	5001	1096

prune730.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (- (log (+ x y)) (log z)) 3))
0.7b	(pow (log z) 3)
0.7b	(pow (- (log (+ x y)) (log z)) 3)
0.7b	(pow (log (+ x y)) 3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
27×	`pow1`
24×	`add-sqr-sqrt` `unpow-prod-down` `cube-prod`
22×	`cbrt-prod`
20×	`log-pow`
16×	`add-cube-cbrt` `distribute-lft-out--`
9×	`pow-unpow`
7×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `sqr-pow`
3×	`pow-to-exp` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-div` `flip3--` `flip--`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 126

Calls

4 calls:

7.0ms	(cbrt (pow (- (log (+ x y)) (log z)) 3))
2.0ms	(pow (log z) 3)
7.0ms	(pow (- (log (+ x y)) (log z)) 3)
2.0ms	(pow (log (+ x y)) 3)

series878.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (pow (- (log (+ x y)) (log z)) 3))
177.0ms	(pow (log z) 3)
314.0ms	(pow (- (log (+ x y)) (log z)) 3)
310.0ms	(pow (log (+ x y)) 3)

simplify562.0ms

Counts

138 → 138

Iterations

Useful iterations: done (558.0ms)

Iter	Nodes	Cost
0	150	1732
1	364	1386
2	1379	1266
done	5001	1264

prune554.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes431.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	25	42
1	30	40
done	30	40

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	55100×	body	80	nan
441.0ms	8032×	body	80	valid