Details

sample81.0ms

Algorithm

intervals

Results

31.0ms	84×	body	1280	valid
16.0ms	55×	body	640	valid
11.0ms	21×	body	2560	valid
6.0ms	70×	body	80	valid
4.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify605.0ms

Calls

1 calls:

Slowest

605.0ms

(- (fma x y z) (+ 1 (+ (* x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize34.0ms

Local error

Found 2 expressions with local error:

10.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b	(+ (* x y) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Calls

2 calls:

Slowest

39.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
8.0ms	(+ (* x y) z)

series88.0ms

Calls

2 calls:

Slowest

62.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
25.0ms	(+ (* x y) z)

simplify2.5s

Calls

15 calls:

Slowest

493.0ms	(/ (exp (fma x y z)) (* (exp 1) (* (exp (* x y)) (exp z))))
320.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
307.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
270.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
262.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))

prune362.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 11.0b

localize19.0ms

Local error

Found 2 expressions with local error:

9.0b	(- (fma x y z) (* x y))
0.0b	(/ (exp (- (- (fma x y z) (* x y)) z)) E)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac`
16×	`exp-sum`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`sub-neg`
8×	`associate--l+`
7×	`associate-/l*`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r*` `add-exp-log`
2×	`pow1` `div-exp` `insert-posit16`
1×	`cbrt-undiv` `e-exp-1` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-inv` `flip--` `associate-/l/`

Calls

2 calls:

Slowest

87.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
7.0ms	(- (fma x y z) (* x y))

series78.0ms

Calls

2 calls:

Slowest

49.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
28.0ms	(- (fma x y z) (* x y))

simplify13.6s

Calls

61 calls:

Slowest

540.0ms	(/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) (* (cbrt E) (cbrt E)))
497.0ms	(/ (exp (- (- (* x y)) z)) (sqrt E))
491.0ms	(/ (exp (- (- (* x y)) z)) (sqrt E))
477.0ms	(/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) (sqrt E))
460.0ms	(sqrt (exp (- (- (fma x y z) (* x y)) z)))

prune664.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 8.4b

localize31.0ms

Local error

Found 2 expressions with local error:

8.2b	(- (fma x y z) (+ z (* x y)))
0.0b	(+ z (* x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `sum-log` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Calls

2 calls:

Slowest

14.0ms	(- (fma x y z) (+ z (* x y)))
5.0ms	(+ z (* x y))

series76.0ms

Calls

2 calls:

Slowest

38.0ms	(- (fma x y z) (+ z (* x y)))
37.0ms	(+ z (* x y))

simplify1.0s

Calls

13 calls:

Slowest

354.0ms	(/ (exp (fma x y z)) (* (exp z) (exp (* x y))))
267.0ms	(/ (exp (fma x y z)) (exp (+ z (* x y))))
89.0ms	(- (fma x y z) (+ z (* x y)))
83.0ms	(- (fma x y z) (+ z (* x y)))
71.0ms	(- (fma x y z) (+ z (* x y)))

prune445.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 8.1b

localize70.0ms

Local error

Found 2 expressions with local error:

8.2b	(- (fma x y z) (+ z (* x y)))
0.0b	(+ z (* x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `sum-log` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Calls

2 calls:

Slowest

16.0ms	(- (fma x y z) (+ z (* x y)))
5.0ms	(+ z (* x y))

series77.0ms

Calls

2 calls:

Slowest

49.0ms	(- (fma x y z) (+ z (* x y)))
28.0ms	(+ z (* x y))

simplify959.0ms

Calls

13 calls:

Slowest

305.0ms	(/ (exp (fma x y z)) (* (exp z) (exp (* x y))))
246.0ms	(/ (exp (fma x y z)) (exp (+ z (* x y))))
98.0ms	(- (fma x y z) (+ z (* x y)))
87.0ms	(- (fma x y z) (+ z (* x y)))
70.0ms	(- (fma x y z) (+ z (* x y)))

prune799.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 8.1b

regimes252.0ms

Accuracy

0% (0.2b remaining)

Error of 8.3b against oracle of 8.1b and baseline of 8.3b

bsearch6.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.9s	2608×	body	1280	valid
941.0ms	1636×	body	640	valid
349.0ms	617×	body	2560	valid
214.0ms	2063×	body	80	valid
189.0ms	750×	body	320	valid
123.0ms	326×	body	160	valid