Details

sample94.0ms

Algorithm

intervals

Results

56.0ms	84×	body	10240	exit
27.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-inv`

Counts

2 → 55

Calls

2 calls:

22.0ms	(+ (exp a) (exp b))
39.0ms	(/ (exp a) (+ (exp a) (exp b)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp a) (exp b))
49.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
4	2466
3	1098
2	499
1	188
0	86

prune217.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.0b	(- a (log (+ (exp a) (exp b))))
4.2b	(log (+ (exp a) (exp b)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`prod-diff` `add-cube-cbrt`
16×	`exp-sum`
13×	`pow1` `add-log-exp`
12×	`log-prod`
9×	`log-pow`
8×	`associate--r+`
6×	`log-div` `exp-prod`
5×	`exp-diff` `add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `diff-log` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `rem-exp-log`
2×	`sub-neg` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3--` `rem-log-exp` `flip--`

Counts

4 → 116

Calls

4 calls:

32.0ms	(exp (- a (log (+ (exp a) (exp b)))))
14.0ms	(+ (exp a) (exp b))
26.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (- a (log (+ (exp a) (exp b)))))
32.0ms	(+ (exp a) (exp b))
44.0ms	(- a (log (+ (exp a) (exp b))))
42.0ms	(log (+ (exp a) (exp b)))

simplify2.8s

Counts

128 → 128

Iterations

Iter	Nodes
done	5022
3	2565
2	841
1	346
0	159

prune655.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp a))
0.0b	(* (cbrt (exp a)) (cbrt (exp a)))
0.5b	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
0.8b	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
92×	`cbrt-prod`
86×	`*-un-lft-identity`
66×	`times-frac`
57×	`add-cube-cbrt`
47×	`unswap-sqr`
46×	`add-cbrt-cube`
42×	`associate-r`
39×	`associate-l`
31×	`cbrt-unprod`
20×	`add-exp-log`
18×	`swap-sqr`
16×	`pow1`
14×	`distribute-lft-out`
13×	`associate-r/` `associate-/l`
12×	`cbrt-undiv`
8×	`associate-/r*`
7×	`pow1/3` `prod-exp`
6×	`*-commutative`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `div-exp`
2×	`frac-2neg` `flip3-+` `pow-sqr` `un-div-inv` `pow-prod-up` `flip-+` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 243

Calls

4 calls:

4.0ms	(cbrt (exp a))
27.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
152.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
29.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (exp a))
154.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
60.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
89.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

simplify2.3s

Counts

255 → 255

Iterations

Iter	Nodes
done	5000
2	2598
1	788
0	243

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite616.0ms

Algorithm

rewrite-expression-head

Rules

112×	`prod-diff`
106×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
60×	`add-cube-cbrt`
58×	`exp-sum`
53×	`associate-l`
36×	`pow1`
34×	`log-pow`
27×	`associate-r`
25×	`distribute-lft-out--`
14×	`fma-neg`
13×	`difference-of-squares`
11×	`exp-prod` `unswap-sqr`
9×	`*-commutative` `add-log-exp`
6×	`log-prod` `associate--r+`
4×	`exp-diff` `diff-log`
3×	`rem-exp-log`
2×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`flip3--` `flip--`

Counts

2 → 183

Calls

2 calls:

260.0ms	(- (* (- a b) 1/2) (log 2))
341.0ms	(exp (- (* (- a b) 1/2) (log 2)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(- (* (- a b) 1/2) (log 2))
70.0ms	(exp (- (* (- a b) 1/2) (log 2)))

simplify2.8s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
3	3631
2	1059
1	397
0	193

prune328.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes136.0ms

Accuracy

0% (0.1b 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

sample4.6s

Algorithm

intervals

Results

3.1s	3251×	body	10240	exit
1.2s	8000×	body	80	valid