Details

sample35.0ms

Algorithm

intervals

Results

13.0ms	256×	pre	80	true
10.0ms	256×	body	80	valid

simplify277.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ (+ (+ e d) c) b) a)
0.2b	(+ (+ (+ e d) c) b)
0.2b	(+ (+ e d) c)

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

3 → 75

Calls

3 calls:

Slowest

418.0ms	(+ (+ (+ (+ e d) c) b) a)
101.0ms	(+ (+ (+ e d) c) b)
27.0ms	(+ (+ e d) c)

series134.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

71.0ms	(+ (+ (+ (+ e d) c) b) a)
41.0ms	(+ (+ (+ e d) c) b)
22.0ms	(+ (+ e d) c)

simplify2.5s

Counts: 84 → 84

prune662.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

3.3b	(exp (+ e (+ b (+ d c))))
0.2b	(+ (log (exp (+ e (+ b (+ d c))))) a)
0.2b	(+ b (+ d c))
0.2b	(+ e (+ b (+ d c)))

rewrite948.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
29×	`add-log-exp`
23×	`distribute-lft-out`
16×	`sum-log` `fma-def`
12×	`exp-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`log-pow`
6×	`pow1`
4×	`expm1-log1p-u` `associate-+l+` `log-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
3×	`+-commutative` `flip3-+` `flip-+`
2×	`associate-+r+` `exp-sum`

Counts

4 → 95

Calls

4 calls:

Slowest

772.0ms	(+ (log (exp (+ e (+ b (+ d c))))) a)
130.0ms	(exp (+ e (+ b (+ d c))))
31.0ms	(+ e (+ b (+ d c)))
13.0ms	(+ b (+ d c))

series144.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

55.0ms	(+ (log (exp (+ e (+ b (+ d c))))) a)
36.0ms	(+ e (+ b (+ d c)))
36.0ms	(exp (+ e (+ b (+ d c))))
16.0ms	(+ b (+ d c))

simplify2.6s

Counts: 107 → 107

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (exp b) (* (exp d) (exp c)))
0.3b	(* (exp e) (* (exp b) (* (exp d) (exp c))))
0.3b	(* (exp d) (exp c))
0.2b	(+ (log (* (exp e) (* (exp b) (* (exp d) (exp c))))) a)

rewrite843.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1`
28×	`*-un-lft-identity`
22×	`pow-prod-down`
20×	`add-cbrt-cube`
13×	`exp-prod`
11×	`add-sqr-sqrt`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-l` `log-pow` `pow-prod-up` `add-cube-cbrt`
8×	`fma-def`
7×	`add-exp-log`
5×	`associate-r` `distribute-lft-out` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
1×	`+-commutative` `associate-+l+` `log-prod` `sum-log` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

Slowest

690.0ms	(+ (log (* (exp e) (* (exp b) (* (exp d) (exp c))))) a)
98.0ms	(* (exp e) (* (exp b) (* (exp d) (exp c))))
33.0ms	(* (exp b) (* (exp d) (exp c)))
20.0ms	(* (exp d) (exp c))

series415.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

255.0ms	(+ (log (* (exp e) (* (exp b) (* (exp d) (exp c))))) a)
82.0ms	(* (exp e) (* (exp b) (* (exp d) (exp c))))
52.0ms	(* (exp b) (* (exp d) (exp c)))
26.0ms	(* (exp d) (exp c))

simplify1.7s

Counts: 109 → 109

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ d (+ (+ b c) a)) e)
0.2b	(+ (+ b c) a)
0.2b	(+ d (+ (+ b c) a))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
31×	`add-log-exp`
26×	`distribute-lft-out`
19×	`sum-log`
13×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`associate-+l+`
1×	`associate-+r+`

Counts

3 → 73

Calls

3 calls:

Slowest

291.0ms	(+ (+ d (+ (+ b c) a)) e)
42.0ms	(+ d (+ (+ b c) a))
22.0ms	(+ (+ b c) a)

series114.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

63.0ms	(+ (+ d (+ (+ b c) a)) e)
34.0ms	(+ d (+ (+ b c) a))
17.0ms	(+ (+ b c) a)

simplify1.8s

Counts: 82 → 82

prune779.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

850.0ms	8000×	body	80	valid
662.0ms	8000×	pre	80	true