Details

sample129.0ms

Algorithm

intervals

Results

97.0ms	128×	body	10240	exit
12.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

8.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (exp a) (exp b))
46.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3653
2	626
1	184
0	82

prune345.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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:

23.0ms	(+ (exp b) (exp a))
31.0ms	(exp (- a (log (+ (exp b) (exp a)))))
12.0ms	(- a (log (+ (exp b) (exp a))))
7.0ms	(log (+ (exp b) (exp a)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp b) (exp a))
72.0ms	(exp (- a (log (+ (exp b) (exp a)))))
36.0ms	(- a (log (+ (exp b) (exp a))))
61.0ms	(log (+ (exp b) (exp a)))

simplify1.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1199
1	322
0	145

prune478.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize20.0ms

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)))

rewrite77.0ms

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:

20.0ms	(- (* 1/2 (- a b)) (log 2))
53.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* 1/2 (- a b)) (log 2))
78.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1646
1	419
0	182

prune420.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite486.0ms

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))
50.0ms	(/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3)))
378.0ms	(* (/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
19.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (exp a) (exp b))
100.0ms	(/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3)))
211.0ms	(* (/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
67.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify463.0ms

Counts

165 → 165

Iterations

Iter	Nodes
done	5001
1	765
0	223

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes252.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.5s	3344×	body	10240	exit
599.0ms	8000×	body	80	valid