Details

sample89.0ms

Algorithm

intervals

Results

36.0ms	83×	body	1280	valid
16.0ms	60×	body	640	valid
11.0ms	22×	body	2560	valid
4.0ms	57×	body	80	valid
4.0ms	20×	body	320	valid
3.0ms	14×	body	160	valid

simplify347.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

347.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.6b

localize18.0ms

Local error

Found 2 expressions with local error:

10.1b	(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b	(+ (* x y) z)

rewrite61.0ms

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

48.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
13.0ms	(+ (* x y) z)

series110.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

71.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
39.0ms	(+ (* x y) z)

simplify2.8s

Counts

15 → 37

Calls

15 calls:

Slowest

471.0ms	(/ (exp (fma x y z)) (* (exp 1) (* (exp (* x y)) (exp z))))
412.0ms	(+ (sqrt (fma x y z)) (sqrt (+ 1 (+ (* x y) z))))
322.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
315.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
278.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))

prune391.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.7b

localize35.0ms

Local error

Found 3 expressions with local error:

9.6b	(- (fma x y z) (* x y))
0.5b	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
0.0b	(/ (exp (- (- (fma x y z) (* x y)) z)) E)

rewrite174.0ms

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

115.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
53.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
5.0ms	(- (fma x y z) (* x y))

series158.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

68.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
64.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
25.0ms	(- (fma x y z) (* x y))

simplify19.8s

Counts

93 → 106

Calls

93 calls:

Slowest

497.0ms	(/ (exp (- (- (* x y)) z)) (cbrt E))
495.0ms	(/ (exp (- (- (* x y)) z)) E)
492.0ms	(/ (exp (- (- (* x y)) z)) E)
472.0ms	(/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) (* (cbrt E) (cbrt E)))
471.0ms	(log (/ (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: 7.4b

localize17.0ms

Local error

Found 2 expressions with local error:

7.4b	(- (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

22.0ms	(- (fma x y z) (+ (* x y) z))
15.0ms	(+ (* x y) z)

series75.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

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

simplify943.0ms

Counts

12 → 35

Calls

12 calls:

Slowest

319.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
259.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
89.0ms	(- (fma x y z) (+ z (* x y)))
75.0ms	(- (fma x y z) (+ z (* x y)))
72.0ms	(- (fma x y z) (+ (* x y) z))

prune386.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.4b

localize41.0ms

Local error

Found 2 expressions with local error:

7.4b	(- (fma x y z) (+ (* x y) z))
0.0b	(+ (* x y) z)

rewrite39.0ms

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

24.0ms	(- (fma x y z) (+ (* x y) z))
14.0ms	(+ (* x y) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

53.0ms	(- (fma x y z) (+ (* x y) z))
27.0ms	(+ (* x y) z)

simplify1.0s

Counts

12 → 35

Calls

12 calls:

Slowest

313.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
261.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
100.0ms	(- (fma x y z) (+ z (* x y)))
97.0ms	(- (fma x y z) (+ z (* x y)))
83.0ms	(- (fma x y z) (+ (* x y) z))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 7.4b

regimes168.0ms

Accuracy

0% (0.1b remaining)

Error of 7.8b against oracle of 7.7b and baseline of 7.8b

bsearch3.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.4s	2642×	body	1280	valid
1.2s	1592×	body	640	valid
444.0ms	594×	body	2560	valid
213.0ms	2097×	body	80	valid
192.0ms	729×	body	320	valid
97.0ms	346×	body	160	valid