Details

sample67.0ms

Algorithm

intervals

Results

47.0ms	100×	body	10240	exit
9.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:

29.0ms	(+ (exp a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp a) (exp b))
36.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.9s

Counts

60 → 60

Iterations

Iter	Nodes
done	5030
4	2517
3	1039
2	503
1	186
0	84

prune215.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

59.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
17.0ms	(+ (exp a) (exp b))
22.0ms	(/ (exp a) (+ (exp a) (exp b)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
38.0ms	(+ (exp a) (exp b))
64.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5006
4	2650
3	1253
2	596
1	243
0	131

prune523.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
287×	`*-un-lft-identity`
189×	`sqrt-prod`
188×	`add-sqr-sqrt`
187×	`add-cube-cbrt`
50×	`distribute-lft-out`
34×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/l*`
9×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `sqrt-pow1` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `fma-def`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `pow1/2` `associate-/r/`

Counts

4 → 308

Calls

4 calls:

3.0ms	(sqrt (exp a))
50.0ms	(/ (+ (exp a) (exp b)) (sqrt (exp a)))
13.0ms	(+ (exp a) (exp b))
19.0ms	(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp a))
53.0ms	(/ (+ (exp a) (exp b)) (sqrt (exp a)))
32.0ms	(+ (exp a) (exp b))
56.0ms	(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))

simplify2.2s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
2	1946
1	803
0	313

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp b) (exp b))
0.5b	(* (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
0.6b	(* (exp a) (exp b))
5.0b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`associate-l`
20×	`exp-prod`
15×	`pow1`
13×	`times-frac` `add-cbrt-cube`
9×	`associate-r`
8×	`add-exp-log`
6×	`pow-prod-down` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `prod-exp` `pow-sqr` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`flip3-+` `swap-sqr` `*-commutative` `flip-+` `distribute-lft-out`
2×	`frac-times` `associate-*r/` `associate-/r/`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `pow-plus` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `div-exp` `prod-diff` `associate-*l/` `div-inv` `flip--`

Counts

4 → 123

Calls

4 calls:

14.0ms	(* (exp b) (exp b))
201.0ms	(* (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
25.0ms	(* (exp a) (exp b))
14.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (exp b) (exp b))
165.0ms	(* (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
23.0ms	(* (exp a) (exp b))
59.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify2.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2775
1	745
0	216

prune846.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.2s	3541×	body	10240	exit
385.0ms	8000×	body	80	valid