Details

sample140.0ms

Algorithm

intervals

Results

86.0ms	123×	body	10240	exit
32.0ms	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: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

11.0ms	(+ (exp a) (exp b))
28.0ms	(/ (exp a) (+ (exp a) (exp b)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (exp a) (exp b))
66.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.2s

Counts

58 → 58

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	82	646
1	184	616
2	636	576
3	3574	575
done	5001	574

prune228.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ (exp a) (* 1 (+ (exp a) (exp b))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

30.0ms	(+ (exp a) (exp b))
37.0ms	(/ (exp a) (* 1 (+ (exp a) (exp b))))

series75.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp a) (exp b))
53.0ms	(/ (exp a) (* 1 (+ (exp a) (exp b))))

simplify1.3s

Counts

49 → 49

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	87	532
1	241	447
2	1572	399
done	5001	394

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (exp a) (exp b)) (exp a))
0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
96×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 142

Calls

3 calls:

37.0ms	(/ (+ (exp a) (exp b)) (exp a))
28.0ms	(+ (exp a) (exp b))
53.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (+ (exp a) (exp b)) (exp a))
28.0ms	(+ (exp a) (exp b))
37.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))

simplify1.6s

Counts

151 → 151

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	183	2369
1	467	2067
2	2766	1952
done	5000	1946

prune400.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (exp a) (exp b)) (exp a))
0.0b	(expm1 (log1p (/ (+ (exp a) (exp b)) (exp a))))
0.0b	(/ 1 (expm1 (log1p (/ (+ (exp a) (exp b)) (exp a)))))
0.3b	(log1p (/ (+ (exp a) (exp b)) (exp a)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r*`
5×	`pow1` `expm1-log1p-u`
4×	`log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv` `associate-/l/`
1×	`rec-exp` `log1p-udef` `expm1-log1p` `pow-flip` `flip3-+` `1-exp` `log1p-expm1` `flip-+` `inv-pow` `expm1-udef`

Counts

4 → 90

Calls

4 calls:

61.0ms	(/ (+ (exp a) (exp b)) (exp a))
0.0ms	(expm1 (log1p (/ (+ (exp a) (exp b)) (exp a))))
9.0ms	(/ 1 (expm1 (log1p (/ (+ (exp a) (exp b)) (exp a)))))
1.0ms	(log1p (/ (+ (exp a) (exp b)) (exp a)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (+ (exp a) (exp b)) (exp a))
79.0ms	(expm1 (log1p (/ (+ (exp a) (exp b)) (exp a))))
105.0ms	(/ 1 (expm1 (log1p (/ (+ (exp a) (exp b)) (exp a)))))
58.0ms	(log1p (/ (+ (exp a) (exp b)) (exp a)))

simplify718.0ms

Counts

102 → 102

Iterations

Useful iterations: done (714.0ms)

Iter	Nodes	Cost
0	142	1457
1	280	1269
2	927	1161
done	5000	1156

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	12	8
2	13	8
done	13	8

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.6s	3364×	body	10240	exit
360.0ms	8000×	body	80	valid