Details

sample159.0ms

Algorithm

intervals

Results

80.0ms	1730×	body	80	nan
14.0ms	259×	body	80	valid

simplify60.0ms

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

prune6.0ms

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)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite149.0ms

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)
100.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series494.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (+ (log (+ x y)) (log z)) t)
197.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
74.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune381.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize214.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (log (+ x y)) (log (+ x y)))
0.5b	(- (log z) (log (+ x y)))
0.7b	(pow (log (+ x y)) 3)
0.7b	(pow (log z) 3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`pow1`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`log-prod`
14×	`log-pow`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `distribute-lft-out`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

8.0ms	(* (log (+ x y)) (log (+ x y)))
6.0ms	(- (log z) (log (+ x y)))
3.0ms	(pow (log (+ x y)) 3)
2.0ms	(pow (log z) 3)

series704.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (log (+ x y)) (log (+ x y)))
72.0ms	(- (log z) (log (+ x y)))
301.0ms	(pow (log (+ x y)) 3)
169.0ms	(pow (log z) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	346	605
1	1729	516
2	5002	483

prune411.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))

series587.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt t)
169.0ms	(cbrt t)
174.0ms	(cbrt t)
71.0ms	(+ (log (+ x y)) (log z))

simplify77.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	185	279
1	378	255
2	949	246
3	3081	245
4	5002	245

prune324.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.1b	(pow t 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sum-log` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(pow t 1/3)

series599.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt t)
174.0ms	(cbrt t)
74.0ms	(+ (log (+ x y)) (log z))
175.0ms	(pow t 1/3)

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	241	286
1	594	251
2	1885	242
3	5002	237

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes466.0ms

Accuracy

0% (0.3b 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	29	24
1	29	24

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	55656×	body	80	nan
461.0ms	8030×	body	80	valid