Details

sample107.0ms

Algorithm

intervals

Results

39.0ms	102×	body	1280	valid
21.0ms	15×	body	320	valid
18.0ms	54×	body	640	valid
7.0ms	13×	body	2560	valid
5.0ms	60×	body	80	valid
2.0ms	12×	body	160	valid

simplify253.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

253.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.3b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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

55.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
13.0ms	(+ (* x y) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
37.0ms	(+ (* x y) z)

simplify2.3s

Counts

15 → 37

Calls

15 calls:

Slowest

498.0ms	(/ (exp (fma x y z)) (* (exp 1) (* (exp (* x y)) (exp z))))
286.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
267.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
253.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
247.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

prune411.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 11.2b

localize21.0ms

Local error

Found 2 expressions with local error:

7.7b	(- (fma x y z) (* x y))
0.5b	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

25×	`log-prod`
21×	`times-frac`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`exp-sum`
7×	`sub-neg`
6×	`associate--l+`
4×	`add-exp-log` `add-log-exp`
3×	`pow1` `rem-log-exp`
2×	`add-cbrt-cube` `div-exp` `insert-posit16`
1×	`log-div` `e-exp-1` `flip3--` `diff-log` `log-pow` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

Slowest

66.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
5.0ms	(- (fma x y z) (* x y))

series117.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

91.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
26.0ms	(- (fma x y z) (* x y))

simplify6.4s

Counts

36 → 57

Calls

36 calls:

Slowest

547.0ms	(log (/ (exp (- (fma x y z) (* x y))) 1))
488.0ms	(log (/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) 1))
486.0ms	(log (/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) (sqrt E)))
466.0ms	(log (/ (exp (- (fma x y z) (* x y))) 1))
456.0ms	(log (/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) (sqrt E)))

prune681.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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

31.0ms	(- (fma x y z) (+ (* x y) z))
13.0ms	(+ (* x y) z)

series94.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

56.0ms	(- (fma x y z) (+ (* x y) z))
39.0ms	(+ (* x y) z)

simplify1.4s

Counts

12 → 35

Calls

12 calls:

Slowest

677.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
323.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
85.0ms	(- (fma x y z) (+ z (* x y)))
81.0ms	(* (exp (* x y)) (exp z))
72.0ms	(- (fma x y z) (+ z (* x y)))

prune408.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 6.1b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

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

65.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
11.0ms	(+ (* x y) z)

series93.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

54.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
39.0ms	(+ (* x y) z)

simplify2.3s

Counts

15 → 37

Calls

15 calls:

Slowest

474.0ms	(/ (exp (fma x y z)) (* (exp 1) (* (exp (* x y)) (exp z))))
287.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
276.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
266.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
237.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))

prune814.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 6.1b

regimes194.0ms

Accuracy

0% (0.1b remaining)

Error of 8.3b against oracle of 8.2b and baseline of 8.3b

bsearch2.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s	2734×	body	1280	valid
832.0ms	1568×	body	640	valid
380.0ms	612×	body	2560	valid
260.0ms	697×	body	320	valid
204.0ms	2095×	body	80	valid
42.0ms	294×	body	160	valid