Details

sample138.0ms

Algorithm

intervals

Results

108.0ms	126×	body	10240	exit
17.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite57.0ms

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:

9.0ms	(+ (exp a) (exp b))
47.0ms	(/ (exp a) (+ (exp a) (exp b)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp a) (exp b))
46.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
4	2675
3	1098
2	493
1	182
0	82

prune516.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(- a (log (+ (exp a) (exp b))))
2.6b	(log (+ (exp a) (exp b)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

15.0ms	(+ (exp a) (exp b))
19.0ms	(- a (log (+ (exp a) (exp b))))
16.0ms	(log (+ (exp a) (exp b)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp a) (exp b))
43.0ms	(- a (log (+ (exp a) (exp b))))
61.0ms	(log (+ (exp a) (exp b)))

simplify2.3s

Counts

81 → 81

Iterations

Iter	Nodes
4	3097
3	1265
2	534
1	255
0	110

prune893.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(expm1 (log1p (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(log1p (/ (exp a) (+ (exp a) (exp b))))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

20.0ms	(+ (exp a) (exp b))
0.0ms	(expm1 (log1p (/ (exp a) (+ (exp a) (exp b)))))
1.0ms	(log1p (/ (exp a) (+ (exp a) (exp b))))
27.0ms	(/ (exp a) (+ (exp a) (exp b)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (exp a) (exp b))
83.0ms	(expm1 (log1p (/ (exp a) (+ (exp a) (exp b)))))
80.0ms	(log1p (/ (exp a) (+ (exp a) (exp b))))
61.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
4	2809
3	1204
2	567
1	228
0	110

prune955.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize27.0ms

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)))

rewrite79.0ms

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:

23.0ms	(- (* 1/2 (- a b)) (log 2))
53.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (* 1/2 (- a b)) (log 2))
88.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
3	2548
2	922
1	406
0	182

prune936.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes214.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.3s	3479×	body	10240	exit
653.0ms	8000×	body	80	valid