Details

sample47.0ms

Algorithm

intervals

Results

17.0ms	256×	pre	80	true
14.0ms	256×	body	80	valid

simplify243.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite600.0ms

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

458.0ms	(+ (+ (+ (+ e d) c) b) a)
120.0ms	(+ (+ (+ e d) c) b)
21.0ms	(+ (+ e d) c)

series119.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(+ (+ (+ (+ e d) c) b) a)
36.0ms	(+ (+ (+ e d) c) b)
21.0ms	(+ (+ e d) c)

simplify2.5s

Counts: 84 → 84

prune664.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.3b	(exp (+ (+ (+ b e) a) (+ d c)))
0.2b	(+ (+ b e) a)
0.2b	(+ (+ (+ b e) a) (+ d c))
0.0b	(log (exp (+ (+ (+ b e) a) (+ d c))))

rewrite825.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
52×	`distribute-lft-out` `add-log-exp`
33×	`sum-log`
18×	`exp-prod`
10×	`log-pow`
9×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
7×	`rem-exp-log`
6×	`flip3-+` `flip-+`
5×	`pow1`
4×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `frac-add` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `exp-sum`
1×	`associate-+r+` `rem-log-exp`

Counts

4 → 110

Calls

4 calls:

Slowest

331.0ms	(log (exp (+ (+ (+ b e) a) (+ d c))))
288.0ms	(exp (+ (+ (+ b e) a) (+ d c)))
160.0ms	(+ (+ (+ b e) a) (+ d c))
42.0ms	(+ (+ b e) a)

series234.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(+ (+ (+ b e) a) (+ d c))
66.0ms	(log (exp (+ (+ (+ b e) a) (+ d c))))
60.0ms	(exp (+ (+ (+ b e) a) (+ d c)))
27.0ms	(+ (+ b e) a)

simplify573.0ms

Counts: 122 → 122

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (exp b) (exp e)) (exp a))
0.3b	(* (* (* (exp b) (exp e)) (exp a)) (* (exp d) (exp c)))
0.3b	(* (exp b) (exp e))
0.3b	(* (exp d) (exp c))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube`
21×	`*-un-lft-identity`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
12×	`exp-prod` `add-exp-log`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`associate-l` `pow-prod-up`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 98

Calls

4 calls:

Slowest

186.0ms	(* (* (* (exp b) (exp e)) (exp a)) (* (exp d) (exp c)))
51.0ms	(* (* (exp b) (exp e)) (exp a))
22.0ms	(* (exp b) (exp e))
15.0ms	(* (exp d) (exp c))

series200.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(* (* (* (exp b) (exp e)) (exp a)) (* (exp d) (exp c)))
51.0ms	(* (* (exp b) (exp e)) (exp a))
25.0ms	(* (exp b) (exp e))
20.0ms	(* (exp d) (exp c))

simplify3.6s

Counts: 110 → 110

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (+ e (+ b (+ d c))) (+ e (+ b (+ d c))))
0.5b	(fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a))
0.4b	(/ (fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a))) (- (fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a)) (* a (+ e (+ b (+ d c))))))
0.4b	(fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
60×	`distribute-lft-out`
18×	`add-sqr-sqrt` `swap-sqr`
16×	`add-cube-cbrt`
11×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`flip3-+` `associate-r` `associate-l` `flip-+`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`associate-l/` `associate-r/` `associate-/r/` `fma-udef`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `pow-plus` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

Slowest

227.0ms	(* (+ e (+ b (+ d c))) (+ e (+ b (+ d c))))
15.0ms	(/ (fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a))) (- (fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a)) (* a (+ e (+ b (+ d c))))))
0.0ms	(fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a)))
0.0ms	(fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a))

series3.8s

Counts

4 → 12

Calls

4 calls:

Slowest

2.0s	(fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a)))
1.1s	(/ (fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a))) (- (fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a)) (* a (+ e (+ b (+ d c))))))
513.0ms	(fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a))
192.0ms	(* (+ e (+ b (+ d c))) (+ e (+ b (+ d c))))

simplify551.0ms

Counts: 125 → 125

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

455.0ms	8000×	pre	80	true
332.0ms	8000×	body	80	valid