Details

sample160.0ms

Algorithm

intervals

Results

120.0ms	128×	body	10240	exit
13.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

15.0ms	(+ (exp a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (exp a) (exp b))
64.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.7s

Counts

58 → 58

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	82	646
1	184	616
2	626	578
3	3653	577
done	5001	574

prune286.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.7b	(- a (log (+ (exp a) (exp b))))
3.4b	(log (+ (exp a) (exp b)))

rewrite59.0ms

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` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

4 → 106

Calls

4 calls:

17.0ms	(+ (exp a) (exp b))
17.0ms	(exp (- a (log (+ (exp a) (exp b)))))
13.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (exp a) (exp b))
79.0ms	(exp (- a (log (+ (exp a) (exp b)))))
51.0ms	(- a (log (+ (exp a) (exp b))))
45.0ms	(log (+ (exp a) (exp b)))

simplify969.0ms

Counts

118 → 118

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	149	2147
1	328	1620
2	1235	1279
done	5001	1063

prune466.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1/2 (- a b)) (log 2))
0.0b	(exp (- (* 1/2 (- a b)) (log 2)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

44×	`prod-diff` `associate--l+`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`exp-sum`
22×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg`
5×	`add-log-exp`
4×	`pow1`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`expm1-log1p-u` `add-cbrt-cube` `diff-log` `add-exp-log` `log-pow` `log1p-expm1-u` `rem-exp-log`
1×	`flip3--` `exp-diff` `fma-neg` `flip--`

Counts

2 → 87

Calls

2 calls:

32.0ms	(- (* 1/2 (- a b)) (log 2))
62.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* 1/2 (- a b)) (log 2))
82.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	182	1650
1	419	1251
2	1646	982
done	5000	904

prune412.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (exp a) (exp b))
0.9b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
1.2b	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
4.4b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
55×	`times-frac`
41×	`add-sqr-sqrt`
36×	`associate-l`
35×	`distribute-lft-out`
34×	`add-cube-cbrt`
28×	`unpow-prod-down` `cube-prod`
13×	`add-cbrt-cube`
9×	`associate-/r*` `add-exp-log`
8×	`pow1`
7×	`sum-cubes`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `exp-prod` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `prod-diff` `associate-*l/` `pow-prod-up` `flip--`

Counts

4 → 153

Calls

4 calls:

28.0ms	(* (exp a) (exp b))
54.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
347.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
27.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (exp a) (exp b))
104.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
255.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
61.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify534.0ms

Counts

165 → 165

Iterations

Useful iterations: done (522.0ms)

Iter	Nodes	Cost
0	223	3863
1	760	3287
done	5000	3004

prune990.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes203.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.7s	3344×	body	10240	exit
382.0ms	8000×	body	80	valid