Details

sample114.0ms

Algorithm

intervals

Results

86.0ms	133×	body	10240	exit
14.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

17.0ms	(+ (exp a) (exp b))
19.0ms	(/ (exp a) (+ (exp a) (exp b)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp a) (exp b))
58.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
4	2642
3	1113
2	493
1	186
0	84

prune458.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.5b	(- a (log (+ (exp a) (exp b))))
2.4b	(log (+ (exp a) (exp b)))

rewrite53.0ms

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)))))
19.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (exp a) (exp b))
56.0ms	(exp (- a (log (+ (exp a) (exp b)))))
44.0ms	(- a (log (+ (exp a) (exp b))))
39.0ms	(log (+ (exp a) (exp b)))

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
3	2326
2	790
1	332
0	153

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a)))
1.0b	(/ (exp a) (fma (exp b) (* (exp b) (exp b)) (* (* (exp a) (exp a)) (exp a))))
1.2b	(* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (* (* (exp a) (exp a)) (exp a)))) (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a))))
3.8b	(- (exp b) (exp a))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
11×	`add-cbrt-cube`
9×	`prod-diff` `add-exp-log`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-neg` `associate-r` `fma-udef` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

0.0ms	(fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a)))
6.0ms	(/ (exp a) (fma (exp b) (* (exp b) (exp b)) (* (* (exp a) (exp a)) (exp a))))
14.0ms	(* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (* (* (exp a) (exp a)) (exp a)))) (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a))))
30.0ms	(- (exp b) (exp a))

series362.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a)))
77.0ms	(/ (exp a) (fma (exp b) (* (exp b) (exp b)) (* (* (exp a) (exp a)) (exp a))))
178.0ms	(* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (* (* (exp a) (exp a)) (exp a)))) (fma (- (exp b) (exp a)) (exp b) (* (exp a) (exp a))))
33.0ms	(- (exp b) (exp a))

simplify2.6s

Counts

119 → 119

Iterations

Iter	Nodes
3	4848
2	1331
1	432
0	178

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

localize7.0ms

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

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.7b

regimes244.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.9s	3440×	body	10240	exit
1.0s	8000×	body	80	valid