Details

sample72.0ms

Algorithm

intervals

Results

50.0ms	117×	body	10240	exit
8.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

27.0ms	(+ (exp a) (exp b))
22.0ms	(/ (exp a) (+ (exp a) (exp b)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp a) (exp b))
69.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.5s

Counts

58 → 58

Iterations

Useful iterations: 4 (843.0ms)

Iter	Nodes	Cost
0	82	646
1	172	616
2	403	576
3	798	575
4	2080	574
done	5000	574

prune218.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.3b	(- a (log (+ (exp a) (exp b))))
2.1b	(log (+ (exp a) (exp b)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `rem-exp-log` `difference-of-squares`
1×	`+-commutative` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 106

Calls

4 calls:

23.0ms	(+ (exp a) (exp b))
43.0ms	(exp (- a (log (+ (exp a) (exp b)))))
31.0ms	(- a (log (+ (exp a) (exp b))))
25.0ms	(log (+ (exp a) (exp b)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp a) (exp b))
78.0ms	(exp (- a (log (+ (exp a) (exp b)))))
38.0ms	(- a (log (+ (exp a) (exp b))))
44.0ms	(log (+ (exp a) (exp b)))

simplify2.6s

Counts

118 → 118

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	149	2147
1	310	1610
2	691	1278
3	1850	1056
done	5001	1030

prune348.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (exp b) (- (exp b) (exp a)) (exp (+ a a)))
1.9b	(log (+ (pow (exp a) 3) (pow (exp b) 3)))
3.0b	(- (exp b) (exp a))
5.2b	(log (fma (exp b) (- (exp b) (exp a)) (exp (+ a a))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`log-prod`
9×	`prod-diff`
6×	`pow1` `add-exp-log` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg`
2×	`log-div` `rem-log-exp` `log-pow`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `sum-cubes` `flip--` `flip-+` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

1.0ms	(fma (exp b) (- (exp b) (exp a)) (exp (+ a a)))
46.0ms	(log (+ (pow (exp a) 3) (pow (exp b) 3)))
28.0ms	(- (exp b) (exp a))
2.0ms	(log (fma (exp b) (- (exp b) (exp a)) (exp (+ a a))))

series393.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma (exp b) (- (exp b) (exp a)) (exp (+ a a)))
86.0ms	(log (+ (pow (exp a) 3) (pow (exp b) 3)))
45.0ms	(- (exp b) (exp a))
181.0ms	(log (fma (exp b) (- (exp b) (exp a)) (exp (+ a a))))

simplify3.7s

Counts

86 → 86

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	147	1365
1	288	1192
2	734	1019
3	3629	974
done	5000	972

prune588.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/4 (- a b) 1/2)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/4 (- a b) 1/2)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma 1/4 (- a b) 1/2)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	20	116
1	33	113
2	69	95
3	242	95
4	1473	95
done	5000	95

prune56.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes129.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s	3357×	body	10240	exit
393.0ms	8000×	body	80	valid