Details

sample53.0ms

Algorithm

intervals

Results

19.0ms	256×	pre	80	true
16.0ms	256×	body	80	valid

simplify63.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	92
5	92
4	91
3	71
2	40
1	18
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.1b	(* a (+ (+ b c) d))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

27.0ms	(+ (+ b c) d)
77.0ms	(* a (+ (+ b c) d))

series72.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (+ b c) d)
46.0ms	(* a (+ (+ b c) d))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	2069
3	2069
2	811
1	203
0	72

prune470.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

11.0ms	(+ (* a (+ b c)) (* a d))
14.0ms	(* a (+ b c))

series92.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* a (+ b c)) (* a d))
42.0ms	(* a (+ b c))

simplify1.0s

Counts

50 → 50

Iterations

Iter	Nodes
done	2017
3	2017
2	886
1	245
0	78

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(sqrt (+ b c))
0.1b	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
0.3b	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

10.0ms	(sqrt (+ b c))
10.0ms	(sqrt (+ b c))
10.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
0.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

series425.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ b c))
59.0ms	(sqrt (+ b c))
168.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
149.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

simplify939.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2032
3	2032
2	760
1	253
0	112

prune946.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* c c))
0.0b	(+ (/ (* a (- (* b b) (* c c))) (- b c)) (* a d))
0.6b	(* a (- (* b b) (* c c)))
11.7b	(/ (* a (- (* b b) (* c c))) (- b c))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
11×	`fma-def` `add-cbrt-cube` `add-exp-log`
10×	`times-frac` `add-cube-cbrt`
8×	`add-log-exp`
6×	`pow1`
5×	`associate-/r*` `flip3--` `flip--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-r` `associate-*r/` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-diff` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `-commutative` `flip-+` `associate-/l` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

9.0ms	(- (* b b) (* c c))
45.0ms	(+ (/ (* a (- (* b b) (* c c))) (- b c)) (* a d))
50.0ms	(* a (- (* b b) (* c c)))
49.0ms	(/ (* a (- (* b b) (* c c))) (- b c))

series385.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* b b) (* c c))
125.0ms	(+ (/ (* a (- (* b b) (* c c))) (- b c)) (* a d))
92.0ms	(* a (- (* b b) (* c c)))
107.0ms	(/ (* a (- (* b b) (* c c))) (- b c))

simplify1.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	2007
3	2007
2	1719
1	437
0	157

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes368.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

594.0ms	8000×	pre	80	true
509.0ms	8000×	body	80	valid