Details

sample114.0ms

Algorithm

intervals

Results

37.0ms	71×	body	1280	valid
28.0ms	69×	body	640	valid
11.0ms	17×	body	2560	valid
8.0ms	71×	body	80	valid
5.0ms	16×	body	320	valid
2.0ms	12×	body	160	valid

simplify315.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

315.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize35.0ms

Local error

Found 2 expressions with local error:

8.1b	(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b	(+ (* x y) z)

rewrite53.0ms

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`

Counts

2 → 31

Calls

2 calls:

Slowest

40.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
13.0ms	(+ (* x y) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

52.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
38.0ms	(+ (* x y) z)

simplify2.4s

Counts

15 → 37

Calls

15 calls:

Slowest

528.0ms	(/ (exp (fma x y z)) (* (exp 1) (* (exp (* x y)) (exp z))))
292.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
265.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
264.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
255.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 11.4b

localize19.0ms

Local error

Found 3 expressions with local error:

8.2b	(- (fma x y z) (* x y))
0.0b	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
0.0b	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`exp-sum`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
25×	`log-prod`
15×	`sub-neg`
14×	`associate--l+`
7×	`associate-/l*`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `div-exp`
3×	`associate-/r*` `rem-log-exp` `insert-posit16`
2×	`e-exp-1` `div-inv`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `log-pow` `flip--` `associate-/l/`

Counts

3 → 97

Calls

3 calls:

Slowest

107.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
41.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
12.0ms	(- (fma x y z) (* x y))

series156.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

87.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
45.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
25.0ms	(- (fma x y z) (* x y))

simplify20.4s

Counts

93 → 106

Calls

93 calls:

Slowest

570.0ms	(/ (exp (- (- (* x y)) z)) (cbrt E))
541.0ms	(log (/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) (sqrt E)))
537.0ms	(log (/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) (* (cbrt E) (cbrt E))))
537.0ms	(/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) (* (cbrt E) (cbrt E)))
521.0ms	(/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) (* (cbrt E) (cbrt E)))

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.9b

localize43.0ms

Local error

Found 2 expressions with local error:

5.7b	(- (fma x y z) (+ (* x y) z))
0.0b	(+ (* x y) z)

rewrite37.0ms

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`

Counts

2 → 29

Calls

2 calls:

Slowest

25.0ms	(- (fma x y z) (+ (* x y) z))
12.0ms	(+ (* x y) z)

series56.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

32.0ms	(- (fma x y z) (+ (* x y) z))
23.0ms	(+ (* x y) z)

simplify982.0ms

Counts

12 → 35

Calls

12 calls:

Slowest

314.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
281.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
77.0ms	(* (exp (* x y)) (exp z))
76.0ms	(- (fma x y z) (+ (* x y) z))
67.0ms	(- (fma x y z) (+ z (* x y)))

prune399.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.6b

localize74.0ms

Local error

Found 2 expressions with local error:

5.7b	(- (fma x y z) (+ (* x y) z))
0.0b	(+ (* x y) z)

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`

Counts

2 → 29

Calls

2 calls:

Slowest

13.0ms	(- (fma x y z) (+ (* x y) z))
6.0ms	(+ (* x y) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

44.0ms	(- (fma x y z) (+ (* x y) z))
36.0ms	(+ (* x y) z)

simplify988.0ms

Counts

12 → 35

Calls

12 calls:

Slowest

344.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
245.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
83.0ms	(- (fma x y z) (+ z (* x y)))
82.0ms	(- (fma x y z) (+ z (* x y)))
69.0ms	(- (fma x y z) (+ z (* x y)))

prune966.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 5.6b

regimes158.0ms

Accuracy

0% (0.2b remaining)

Error of 8.1b against oracle of 7.9b and baseline of 8.1b

bsearch2.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.8s	2575×	body	1280	valid
603.0ms	1588×	body	640	valid
426.0ms	602×	body	2560	valid
287.0ms	2143×	body	80	valid
239.0ms	761×	body	320	valid
95.0ms	331×	body	160	valid