Details

sample94.0ms

Algorithm

intervals

Results

69.0ms	125×	body	10240	exit
8.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

15.0ms	(+ (exp a) (exp b))
29.0ms	(/ (exp a) (+ (exp a) (exp b)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (exp a) (exp b))
59.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3653
2	626
1	184
0	82

prune302.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.0b	(+ (exp a) (exp b))
0.7b	(/ (+ (exp a) (exp b)) (exp a))

rewrite70.0ms

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` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 142

Calls

3 calls:

31.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
8.0ms	(+ (exp a) (exp b))
26.0ms	(/ (+ (exp a) (exp b)) (exp a))

series110.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
22.0ms	(+ (exp a) (exp b))
41.0ms	(/ (+ (exp a) (exp b)) (exp a))

simplify1.8s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	2724
1	469
0	183

prune880.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize56.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (* 3 b))))
0.7b	(* (exp a) (exp b))
1.2b	(* (/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (* 3 b)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
4.5b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
19×	`times-frac`
16×	`associate-l`
13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `prod-exp` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `exp-prod` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `prod-diff` `associate-*l/` `pow-prod-up` `flip--`

Counts

4 → 107

Calls

4 calls:

5.0ms	(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (* 3 b))))
13.0ms	(* (exp a) (exp b))
153.0ms	(* (/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (* 3 b)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
14.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (* 3 b))))
31.0ms	(* (exp a) (exp b))
194.0ms	(* (/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (* 3 b)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
45.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify2.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	4451
1	634
0	194

prune883.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes168.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s	3568×	body	10240	exit
524.0ms	8000×	body	80	valid