Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	256×	pre	80	true
20.0ms	256×	body	80	valid

simplify61.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

61.0ms

(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

Slowest

53.0ms

(* a (+ (+ b c) d))

series29.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

29.0ms

(* a (+ (+ b c) d))

simplify1.1s

Counts

19 → 30

Calls

19 calls:

Slowest

358.0ms	(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
313.0ms	(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
93.0ms	(+ (* a d) (+ (* a b) (* a c)))
87.0ms	(+ (* a d) (+ (* a b) (* a c)))
59.0ms	(* a (+ (+ b c) d))

prune276.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a (+ b c)) (* a d))
0.0b	(* a (+ b c))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

Slowest

31.0ms	(* a (+ b c))
21.0ms	(+ (* a (+ b c)) (* a d))

series72.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

44.0ms	(+ (* a (+ b c)) (* a d))
28.0ms	(* a (+ b c))

simplify889.0ms

Counts

25 → 50

Calls

25 calls:

Slowest

348.0ms	(* (exp (* a (+ b c))) (exp (* a d)))
136.0ms	(* (* (* a a) a) (* (* (+ b c) (+ b c)) (+ b c)))
103.0ms	(+ (* b b) (- (* c c) (* b c)))
93.0ms	(+ (* a d) (+ (* a b) (* a c)))
89.0ms	(+ (* a d) (+ (* a b) (* a c)))

prune426.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma a (+ b c) (* a d))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

0.0ms

(fma a (+ b c) (* a d))

series51.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

51.0ms

(fma a (+ b c) (* a d))

simplify171.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

98.0ms	(+ (* a d) (+ (* a b) (* a c)))
71.0ms	(+ (* a d) (+ (* a b) (* a c)))
2.0ms	0

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (fma a (+ b c) (* a d))) (sqrt (fma a (+ b c) (* a d))))
0.1b	(sqrt (fma a (+ b c) (* a d)))
0.1b	(sqrt (fma a (+ b c) (* a d)))
0.0b	(fma a (+ b c) (* a d))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 95

Calls

4 calls:

Slowest

18.0ms	(* (sqrt (fma a (+ b c) (* a d))) (sqrt (fma a (+ b c) (* a d))))
2.0ms	(sqrt (fma a (+ b c) (* a d)))
2.0ms	(sqrt (fma a (+ b c) (* a d)))
0.0ms	(fma a (+ b c) (* a d))

series574.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

244.0ms	(sqrt (fma a (+ b c) (* a d)))
235.0ms	(sqrt (fma a (+ b c) (* a d)))
49.0ms	(* (sqrt (fma a (+ b c) (* a d))) (sqrt (fma a (+ b c) (* a d))))
46.0ms	(fma a (+ b c) (* a d))

simplify5.5s

Counts

82 → 107

Calls

82 calls:

Slowest

860.0ms	(* (* (* (sqrt (fma a (+ b c) (* a d))) (sqrt (fma a (+ b c) (* a d)))) (sqrt (fma a (+ b c) (* a d)))) (* (* (sqrt (fma a (+ b c) (* a d))) (sqrt (fma a (+ b c) (* a d)))) (sqrt (fma a (+ b c) (* a d)))))
202.0ms	(* (fma a (+ b c) (* a d)) (fma a (+ b c) (* a d)))
170.0ms	(* (fma a (+ b c) (* a d)) (fma a (+ b c) (* a d)))
150.0ms	(* (* (cbrt (sqrt (fma a (+ b c) (* a d)))) (cbrt (sqrt (fma a (+ b c) (* a d))))) (* (cbrt (sqrt (fma a (+ b c) (* a d)))) (cbrt (sqrt (fma a (+ b c) (* a d))))))
132.0ms	(* (fma a (+ b c) (* a d)) (fma a (+ b c) (* a d)))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

594.0ms	8000×	pre	80	true
526.0ms	8000×	body	80	valid