Details

sample111.0ms

Algorithm

intervals

Results

82.0ms	120×	body	10240	exit
15.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite32.0ms

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-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

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

series68.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (exp a) (exp b))
42.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.1s

Counts

60 → 60

Iterations

Iter	Nodes
4	2640
3	1109
2	494
1	184
0	84

prune456.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

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))))
2.8b	(log (+ (exp a) (exp b)))

rewrite55.0ms

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-+` `insert-posit16` `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 → 110

Calls

4 calls:

9.0ms	(+ (exp a) (exp b))
16.0ms	(exp (- a (log (+ (exp a) (exp b)))))
15.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp a) (exp b))
79.0ms	(exp (- a (log (+ (exp a) (exp b)))))
59.0ms	(- a (log (+ (exp a) (exp b))))
56.0ms	(log (+ (exp a) (exp b)))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
3	2309
2	795
1	331
0	153

prune991.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp a))
0.0b	(* (cbrt (exp a)) (cbrt (exp a)))
0.7b	(- a (log (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b))))
2.8b	(log (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`cbrt-prod`
16×	`pow1`
12×	`prod-diff`
7×	`pow1/3` `add-exp-log`
6×	`log-prod` `swap-sqr` `associate-r` `associate-l`
5×	`log-pow` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `associate--r+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `distribute-lft-out--`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `rem-log-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

2.0ms	(cbrt (exp a))
24.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
12.0ms	(- a (log (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b))))
2.0ms	(log (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (exp a))
118.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
137.0ms	(- a (log (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b))))
150.0ms	(log (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b)))

simplify2.4s

Counts

120 → 120

Iterations

Iter	Nodes
4	3702
3	1485
2	683
1	311
0	149

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes94.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	10
0	10

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.3s	3408×	body	10240	exit
652.0ms	8000×	body	80	valid