Details

sample125.0ms

Algorithm

intervals

Results

60.0ms	79×	body	1280	valid
21.0ms	54×	body	640	valid
13.0ms	24×	body	2560	valid
8.0ms	28×	body	320	valid
6.0ms	60×	body	80	valid
2.0ms	11×	body	160	valid

simplify304.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

304.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize31.0ms

Local error

Found 2 expressions with local error:

11.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b	(+ (* x y) z)

rewrite60.0ms

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

49.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
10.0ms	(+ (* x y) z)

series100.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

54.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
45.0ms	(+ (* x y) z)

simplify7.7s

Counts

41 → 37

Calls

41 calls:

Slowest

848.0ms	(- (* (fma x y z) (fma x y z)) (* (+ 1 (+ (* x y) z)) (+ 1 (+ (* x y) z))))
504.0ms	(* (* (+ (* x y) z) (+ (* x y) z)) (+ (* x y) z))
406.0ms	(* (* (- (fma x y z) (+ 1 (+ (* x y) z))) (- (fma x y z) (+ 1 (+ (* x y) z)))) (- (fma x y z) (+ 1 (+ (* x y) z))))
366.0ms	(+ (pow (* x y) 3) (pow z 3))
353.0ms	(sqrt (- (fma x y z) (+ 1 (+ (* x y) z))))

prune376.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 8.4b

localize20.0ms

Local error

Found 3 expressions with local error:

10.1b	(- (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)

rewrite153.0ms

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

81.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
65.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
5.0ms	(- (fma x y z) (* x y))

series159.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
52.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
42.0ms	(- (fma x y z) (* x y))

simplify35.9s

Counts

153 → 106

Calls

153 calls:

Slowest

765.0ms	(log (/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) 1))
554.0ms	(* (* (/ (exp (- (- (fma x y z) (* x y)) z)) E) (/ (exp (- (- (fma x y z) (* x y)) z)) E)) (/ (exp (- (- (fma x y z) (* x y)) z)) E))
547.0ms	(log (/ (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt E)))
540.0ms	(log (/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) (sqrt E)))
524.0ms	(/ (exp (- (- (* x y)) z)) E)

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 8.4b

localize21.0ms

Local error

Found 2 expressions with local error:

8.4b	(- (fma x y z) (+ (* x y) z))
0.0b	(+ (* x y) z)

rewrite21.0ms

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

14.0ms	(- (fma x y z) (+ (* x y) z))
7.0ms	(+ (* x y) z)

series75.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

46.0ms	(- (fma x y z) (+ (* x y) z))
30.0ms	(+ (* x y) z)

simplify4.7s

Counts

39 → 35

Calls

39 calls:

Slowest

611.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
492.0ms	(* (* (+ (* x y) z) (+ (* x y) z)) (+ (* x y) z))
419.0ms	(+ (pow (* x y) 3) (pow z 3))
287.0ms	(+ (* (fma x y z) (fma x y z)) (+ (* (+ (* x y) z) (+ (* x y) z)) (* (fma x y z) (+ (* x y) z))))
280.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))

prune383.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 8.4b

localize48.0ms

Local error

Found 2 expressions with local error:

8.4b	(- (fma x y z) (+ (* x y) z))
0.0b	(+ (* x y) z)

rewrite33.0ms

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

20.0ms	(- (fma x y z) (+ (* x y) z))
11.0ms	(+ (* x y) z)

series77.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(- (fma x y z) (+ (* x y) z))
36.0ms	(+ (* x y) z)

simplify4.4s

Counts

39 → 35

Calls

39 calls:

Slowest

451.0ms	(* (* (+ (* x y) z) (+ (* x y) z)) (+ (* x y) z))
371.0ms	(+ (pow (* x y) 3) (pow z 3))
367.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
325.0ms	(exp (- (fma x y z) (+ (* x y) z)))
320.0ms	(- (pow (fma x y z) 3) (pow (+ (* x y) z) 3))

prune834.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 8.4b

regimes160.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.3s	2623×	body	1280	valid
830.0ms	588×	body	2560	valid
656.0ms	1548×	body	640	valid
260.0ms	739×	body	320	valid
244.0ms	2131×	body	80	valid
66.0ms	371×	body	160	valid