Details

sample169.0ms

Algorithm

intervals

Results

86.0ms	1828×	body	80	nan
14.0ms	258×	body	80	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

29.0ms	(- (+ (log (+ x y)) (log z)) t)
104.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series482.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune374.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.1b	(* (- a 0.5) (log t))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
18×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-log-exp`
11×	`add-cube-cbrt`
9×	`associate-+l+`
7×	`pow1` `associate-+r+` `sum-log`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`add-exp-log` `flip3--` `associate-l` `add-cbrt-cube` `flip--`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`flip3-+` `associate--l+` `flip-+` `distribute-lft-out`
2×	`+-commutative` `log-div` `diff-log` `log-pow`
1×	`associate-+r-` `sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

20.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
46.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
12.0ms	(* (- a 0.5) (log t))

series337.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
190.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
58.0ms	(* (- a 0.5) (log t))

simplify59.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	623	837
1	2250	781
2	5001	772

prune317.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* (- a 0.5) (log t)))
0.1b	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`log-pow` `distribute-lft-out`
8×	`associate--r+`
7×	`diff-log`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `distribute-lft-out--`
5×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
4×	`associate-+l-` `log-div` `associate-+l+` `associate-r` `frac-sub`
3×	`sub-neg` `associate-+r+` `sum-log`
2×	`associate--l-` `associate-*l/` `difference-of-squares`
1×	`+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `associate--r-` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(- t (* (- a 0.5) (log t)))
33.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series370.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- t (* (- a 0.5) (log t)))
195.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
59.0ms	(* (- a 0.5) (log t))
67.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	595	1043
1	2083	973
2	5002	963

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
29×	`log-prod`
19×	`add-sqr-sqrt` `associate-+l+` `add-log-exp`
16×	`sum-log`
15×	`add-cube-cbrt`
14×	`distribute-lft-out`
13×	`pow1`
9×	`associate-+l-`
8×	`associate-+r+` `sqrt-prod`
7×	`log-pow`
6×	`add-exp-log` `distribute-rgt-in` `log-div` `distribute-lft-in` `flip3-+` `sqrt-div` `associate-*l/` `add-cbrt-cube` `flip-+`
5×	`associate-+r-` `flip3--` `associate-l` `flip--`
4×	`associate-r` `frac-add`
3×	`+-commutative` `diff-log` `associate--l+`
1×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

115.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
22.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
12.0ms	(* (- a 0.5) (log t))
45.0ms	(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))

series665.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
83.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
243.0ms	(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	779	1434
1	2796	1317
2	5002	1309

prune465.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes360.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	54507×	body	80	nan
447.0ms	8030×	body	80	valid