Details

sample99.0ms

Algorithm

intervals

Results

39.0ms	245×	body	80	nan
35.0ms	288×	body	80	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4510
9	2947
8	1717
7	1207
6	890
5	546
4	246
3	112
2	57
1	26
0	11

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`fma-def`
5×	`associate-+r+` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `sum-log` `flip3-+` `associate-l` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

15.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
30.0ms	(+ (- 1.0 z) (log z))
62.0ms	(* y (+ (- 1.0 z) (log z)))

series949.0ms

Counts

3 → 9

Calls

3 calls:

511.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
313.0ms	(+ (- 1.0 z) (log z))
125.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1510
1	419
0	146

prune517.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.5 x (fma y (- 1.0 z) (* y (log z))))
0.2b	(fma y (- 1.0 z) (* y (log z)))
0.3b	(* y (log z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-r`
3×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma 0.5 x (fma y (- 1.0 z) (* y (log z))))
0.0ms	(fma y (- 1.0 z) (* y (log z)))
7.0ms	(* y (log z))

series306.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(fma 0.5 x (fma y (- 1.0 z) (* y (log z))))
156.0ms	(fma y (- 1.0 z) (* y (log z)))
53.0ms	(* y (log z))

simplify2.1s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
3	1417
2	486
1	206
0	105

prune347.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (log z))
0.0b	(- (+ 1.0 (log z)) z)
0.1b	(fma y (- (+ 1.0 (log z)) z) (* x 0.5))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
15×	`prod-diff`
14×	`add-cube-cbrt`
12×	`distribute-lft-out`
9×	`pow1`
8×	`add-log-exp`
6×	`log-pow`
5×	`fma-neg`
3×	`expm1-log1p-u` `associate-+r+` `log-prod` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `associate--l+` `flip-+` `fma-udef` `flip--` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

5.0ms	(+ 1.0 (log z))
48.0ms	(- (+ 1.0 (log z)) z)
1.0ms	(fma y (- (+ 1.0 (log z)) z) (* x 0.5))

series605.0ms

Counts

3 → 9

Calls

3 calls:

200.0ms	(+ 1.0 (log z))
316.0ms	(- (+ 1.0 (log z)) z)
89.0ms	(fma y (- (+ 1.0 (log z)) z) (* x 0.5))

simplify3.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4319
2	999
1	316
0	131

prune428.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (fma (log z) (* (log z) (log z)) (* 1.0 (* 1.0 1.0))) (fma (log z) (- (log z) 1.0) (* 1.0 1.0)))
0.4b	(fma (log z) (* (log z) (log z)) (* 1.0 (* 1.0 1.0)))
0.5b	(fma (log z) (- (log z) 1.0) (* 1.0 1.0))
0.5b	(* (log z) (log z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ (fma (log z) (* (log z) (log z)) (* 1.0 (* 1.0 1.0))) (fma (log z) (- (log z) 1.0) (* 1.0 1.0)))
0.0ms	(fma (log z) (* (log z) (log z)) (* 1.0 (* 1.0 1.0)))
0.0ms	(fma (log z) (- (log z) 1.0) (* 1.0 1.0))
16.0ms	(* (log z) (log z))

series2.4s

Counts

4 → 12

Calls

4 calls:

1.1s	(/ (fma (log z) (* (log z) (log z)) (* 1.0 (* 1.0 1.0))) (fma (log z) (- (log z) 1.0) (* 1.0 1.0)))
490.0ms	(fma (log z) (* (log z) (log z)) (* 1.0 (* 1.0 1.0)))
499.0ms	(fma (log z) (- (log z) 1.0) (* 1.0 1.0))
238.0ms	(* (log z) (log z))

simplify2.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5008
3	2941
2	1041
1	361
0	157

prune611.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	9136×	body	80	nan
1.2s	9151×	body	80	valid