Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	78×	body	1280	valid
6.0ms	52×	body	640	valid
3.0ms	17×	body	2560	valid
3.0ms	28×	body	320	valid
2.0ms	71×	body	80	valid
1.0ms	10×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1409
5	341
4	191
3	90
2	43
1	18
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.6b

localize24.0ms

Local error

Found 1 expressions with local error:

12.1b

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

59.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify2.3s

Counts

21 → 21

Iterations

Iter	Nodes
done	5001
3	3964
2	500
1	118
0	48

prune150.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 44.5b

localize39.0ms

Local error

Found 3 expressions with local error:

1.5b	(log (exp (- (- (fma x y z) (+ 1.0 z)) (* x y))))
2.0b	(- (fma x y z) (+ 1.0 z))
11.3b	(- (- (fma x y z) (+ 1.0 z)) (* x y))

rewrite545.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
10×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `log-prod` `diff-log`
5×	`sub-neg` `add-cube-cbrt`
4×	`pow1` `exp-sum` `associate--l+` `log-pow`
3×	`exp-prod` `add-cbrt-cube` `add-exp-log`
2×	`sum-log` `flip3--` `flip--` `distribute-lft-out--`
1×	`associate--l-` `log-div` `exp-diff` `rem-log-exp` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

3 → 54

Calls

3 calls:

342.0ms	(log (exp (- (- (fma x y z) (+ 1.0 z)) (* x y))))
25.0ms	(- (fma x y z) (+ 1.0 z))
175.0ms	(- (- (fma x y z) (+ 1.0 z)) (* x y))

series141.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(log (exp (- (- (fma x y z) (+ 1.0 z)) (* x y))))
45.0ms	(- (fma x y z) (+ 1.0 z))
43.0ms	(- (- (fma x y z) (+ 1.0 z)) (* x y))

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1013
1	246
0	97

prune389.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 28.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (log (exp (- (- (fma x y z) z) 1.0))) (* x y)))
0.2b	(log (exp (- (- (fma x y z) z) 1.0)))
1.5b	(- (fma x y z) z)
8.7b	(- (log (exp (- (- (fma x y z) z) 1.0))) (* x y))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

21×	`log-prod` `exp-sum`
20×	`associate--l+`
16×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
9×	`exp-prod` `sub-neg` `add-cube-cbrt` `add-log-exp`
7×	`log-pow`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
3×	`exp-diff` `diff-log`
2×	`log-div` `flip3--` `flip--` `difference-of-squares` `rem-exp-log`
1×	`associate--l-` `rem-log-exp`

Counts

4 → 79

Calls

4 calls:

903.0ms	(exp (- (log (exp (- (- (fma x y z) z) 1.0))) (* x y)))
80.0ms	(log (exp (- (- (fma x y z) z) 1.0)))
8.0ms	(- (fma x y z) z)
554.0ms	(- (log (exp (- (- (fma x y z) z) 1.0))) (* x y))

series225.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (- (log (exp (- (- (fma x y z) z) 1.0))) (* x y)))
55.0ms	(log (exp (- (- (fma x y z) z) 1.0)))
36.0ms	(- (fma x y z) z)
69.0ms	(- (log (exp (- (- (fma x y z) z) 1.0))) (* x y))

simplify2.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
3	4342
2	761
1	280
0	131

prune541.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 28.3b

localize50.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (* (- (- (fma x y z) z) (+ 1.0 (* x y))) (* (- (- (fma x y z) z) (+ 1.0 (* x y))) (- (- (fma x y z) z) (+ 1.0 (* x y))))))
11.3b	(- (- (fma x y z) z) (+ 1.0 (* x y)))
11.3b	(- (- (fma x y z) z) (+ 1.0 (* x y)))
11.3b	(- (- (fma x y z) z) (+ 1.0 (* x y)))

rewrite572.0ms

Algorithm

rewrite-expression-head

Rules

600×	`frac-sub`
540×	`frac-times`
450×	`flip3--` `flip--`
342×	`cbrt-div`
300×	`flip3-+` `flip-+`
90×	`associate-*r/`
48×	`associate-*l/`
40×	`add-log-exp`
19×	`*-un-lft-identity`
18×	`diff-log`
10×	`add-sqr-sqrt`
9×	`distribute-lft-out--`
6×	`sum-log` `sub-neg` `associate--l+`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate--l-` `associate--r+` `difference-of-squares`
1×	`cbrt-prod` `pow1/3` `cube-unmult` `rem-cbrt-cube`

Counts

4 → 430

Calls

4 calls:

360.0ms	(cbrt (* (- (- (fma x y z) z) (+ 1.0 (* x y))) (* (- (- (fma x y z) z) (+ 1.0 (* x y))) (- (- (fma x y z) z) (+ 1.0 (* x y))))))
37.0ms	(- (- (fma x y z) z) (+ 1.0 (* x y)))
47.0ms	(- (- (fma x y z) z) (+ 1.0 (* x y)))
37.0ms	(- (- (fma x y z) z) (+ 1.0 (* x y)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (* (- (- (fma x y z) z) (+ 1.0 (* x y))) (* (- (- (fma x y z) z) (+ 1.0 (* x y))) (- (- (fma x y z) z) (+ 1.0 (* x y))))))
59.0ms	(- (- (fma x y z) z) (+ 1.0 (* x y)))
59.0ms	(- (- (fma x y z) z) (+ 1.0 (* x y)))
64.0ms	(- (- (fma x y z) z) (+ 1.0 (* x y)))

simplify3.5s

Counts

442 → 442

Iterations

Iter	Nodes
done	5001
1	2629
0	1337

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 28.3b

regimes298.0ms

Accuracy

0% (0.4b remaining)

Error of 31.1b against oracle of 30.8b and baseline of 31.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	2557×	body	1280	valid
358.0ms	1648×	body	640	valid
211.0ms	724×	body	320	valid
182.0ms	2115×	body	80	valid
174.0ms	620×	body	2560	valid
28.0ms	336×	body	160	valid