Details

sample88.0ms

Algorithm

intervals

Results

63.0ms	127×	body	10240	exit
12.0ms	256×	body	80	valid

simplify9.0ms

Counts: 1 → 1

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

Slowest

15.0ms	(/ (exp a) (+ (exp a) (exp b)))
8.0ms	(+ (exp a) (exp b))

series76.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

49.0ms	(/ (exp a) (+ (exp a) (exp b)))
26.0ms	(+ (exp a) (exp b))

simplify473.0ms

Counts: 71 → 60

prune600.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

Slowest

15.0ms	(/ (exp a) (+ (exp b) (exp a)))
14.0ms	(+ (exp b) (exp a))

series75.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(/ (exp a) (+ (exp b) (exp a)))
30.0ms	(+ (exp b) (exp a))

simplify450.0ms

Counts: 71 → 60

prune508.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize54.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (* (exp a) (exp a)) (* (exp b) (exp a)))
1.5b	(* (/ (exp a) (fma (* (exp b) (exp b)) (exp b) (exp (+ a (+ a a))))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
0.9b	(/ (exp a) (fma (* (exp b) (exp b)) (exp b) (exp (+ a (+ a a)))))
0.2b	(* (exp b) (exp a))

rewrite288.0ms

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` `insert-posit16` `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 → 111

Calls

4 calls:

Slowest

235.0ms	(* (/ (exp a) (fma (* (exp b) (exp b)) (exp b) (exp (+ a (+ a a))))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
26.0ms	(* (exp b) (exp a))
14.0ms	(- (* (exp a) (exp a)) (* (exp b) (exp a)))
11.0ms	(/ (exp a) (fma (* (exp b) (exp b)) (exp b) (exp (+ a (+ a a)))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

216.0ms	(* (/ (exp a) (fma (* (exp b) (exp b)) (exp b) (exp (+ a (+ a a))))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
100.0ms	(/ (exp a) (fma (* (exp b) (exp b)) (exp b) (exp (+ a (+ a a)))))
72.0ms	(- (* (exp a) (exp a)) (* (exp b) (exp a)))
34.0ms	(* (exp b) (exp a))

simplify330.0ms

Counts: 141 → 123

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.9b

regimes153.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.4s	3522×	body	10240	exit
587.0ms	8000×	body	80	valid