Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	256×	pre	80	true
12.0ms	256×	body	80	valid

simplify578.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	565
7	565
6	558
5	483
4	348
3	169
2	58
1	19
0	9

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ c (+ d e))
0.3b	(+ (+ c (+ d e)) (+ b a))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`add-log-exp`
21×	`distribute-lft-out`
18×	`sum-log`
8×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-add` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r+` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 55

Calls

2 calls:

23.0ms	(+ c (+ d e))
117.0ms	(+ (+ c (+ d e)) (+ b a))

series101.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ c (+ d e))
74.0ms	(+ (+ c (+ d e)) (+ b a))

simplify872.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1801
1	329
0	96

prune357.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
32×	`add-log-exp`
30×	`distribute-lft-out`
21×	`sum-log`
11×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-add` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`associate-+r+`

Counts

2 → 60

Calls

2 calls:

65.0ms	(+ (+ b a) (+ d c))
275.0ms	(+ (+ (+ b a) (+ d c)) e)

series124.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (+ b a) (+ d c))
80.0ms	(+ (+ (+ b a) (+ d c)) e)

simplify681.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1626
1	361
0	109

prune448.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (+ (+ e (+ a b)) (+ d c))))
0.1b	(+ e (+ a b))
0.2b	(+ (+ e (+ a b)) (+ d c))
3.4b	(expm1 (+ (+ e (+ a b)) (+ d c)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`add-log-exp`
21×	`distribute-lft-out`
18×	`sum-log`
8×	`fma-def`
6×	`add-sqr-sqrt` `flip3-+` `add-cube-cbrt` `flip-+`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `frac-add` `add-exp-log`
2×	`+-commutative` `associate-+r+`
1×	`associate-+l+` `log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 77

Calls

4 calls:

0.0ms	(log1p (expm1 (+ (+ e (+ a b)) (+ d c))))
25.0ms	(+ e (+ a b))
158.0ms	(+ (+ e (+ a b)) (+ d c))
1.0ms	(expm1 (+ (+ e (+ a b)) (+ d c)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(log1p (expm1 (+ (+ e (+ a b)) (+ d c))))
30.0ms	(+ e (+ a b))
91.0ms	(+ (+ e (+ a b)) (+ d c))
107.0ms	(expm1 (+ (+ e (+ a b)) (+ d c)))

simplify954.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2020
1	375
0	121

prune553.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma a (- a b) (* b b))
0.3b	(* (- d c) (fma a (- a b) (* b b)))
0.3b	(* (+ (pow b 3) (pow a 3)) (- d c))
0.3b	(/ (fma (fma d d (* c (- c))) (fma a (- a b) (* b b)) (* (+ (pow b 3) (pow a 3)) (- d c))) (* (- d c) (fma a (- a b) (* b b))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`prod-diff`
14×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log`
12×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r`
6×	`associate-*l/`
5×	`flip3--` `flip--` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `unpow-prod-down` `cube-prod` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `times-frac` `prod-exp` `cbrt-unprod` `flip-+` `fma-udef` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `sum-cubes` `div-inv`

Counts

4 → 119

Calls

4 calls:

1.0ms	(fma a (- a b) (* b b))
32.0ms	(* (- d c) (fma a (- a b) (* b b)))
116.0ms	(* (+ (pow b 3) (pow a 3)) (- d c))
27.0ms	(/ (fma (fma d d (* c (- c))) (fma a (- a b) (* b b)) (* (+ (pow b 3) (pow a 3)) (- d c))) (* (- d c) (fma a (- a b) (* b b))))

series2.8s

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma a (- a b) (* b b))
180.0ms	(* (- d c) (fma a (- a b) (* b b)))
122.0ms	(* (+ (pow b 3) (pow a 3)) (- d c))
2.4s	(/ (fma (fma d d (* c (- c))) (fma a (- a b) (* b b)) (* (+ (pow b 3) (pow a 3)) (- d c))) (* (- d c) (fma a (- a b) (* b b))))

simplify2.0s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	4494
1	668
0	229

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes383.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
2	21
1	20
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

253.0ms	8000×	pre	80	true
239.0ms	8000×	body	80	valid