Details

sample172.0ms

Algorithm

intervals

Results

90.0ms	1865×	body	80	nan
14.0ms	256×	body	80	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

9.0ms	(- (+ (log (+ x y)) (log z)) t)
1.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
7.0ms	(+ (log (+ x y)) (log z))

series315.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(- (+ (log (+ x y)) (log z)) t)
88.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
68.0ms	(+ (log (+ x y)) (log z))

simplify39.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	388	866
1	1209	661
2	5001	650

prune291.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
43×	`pow1`
37×	`add-sqr-sqrt`
35×	`log-prod`
31×	`add-cube-cbrt`
25×	`log-pow`
17×	`prod-diff`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`swap-sqr` `associate--l+`
9×	`associate--r+`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`fma-neg` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
2×	`associate--l-` `pow2` `sub-neg` `log-div` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

6.0ms	(* (log (+ x y)) (log (+ x y)))
7.0ms	(- (log (+ x y)) (log z))
5.0ms	(* (log z) (log z))
7.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (log (+ x y)) (log (+ x y)))
68.0ms	(- (log (+ x y)) (log z))
153.0ms	(* (log z) (log z))
154.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	446	1242
1	1661	1012
2	5002	875

prune531.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (log (sqrt (+ x y))) (log (+ x y)))
0.5b	(- (log (+ x y)) (log z))
0.6b	(pow (log z) 2)
0.7b	(fma (log (sqrt (+ x y))) (log (+ x y)) (- (pow (log z) 2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`pow1`
21×	`add-cube-cbrt`
18×	`log-pow`
16×	`prod-diff`
15×	`log-prod`
7×	`add-exp-log`
6×	`associate-l` `add-cbrt-cube`
4×	`distribute-rgt-in` `expm1-log1p-u` `unpow-prod-down` `distribute-lft-in` `fma-neg` `associate-r` `associate--l+` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `distribute-lft-out` `associate--r+`
2×	`associate--l-` `log-div`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `fma-udef` `unpow2` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 111

Calls

4 calls:

7.0ms	(* (log (sqrt (+ x y))) (log (+ x y)))
11.0ms	(- (log (+ x y)) (log z))
3.0ms	(pow (log z) 2)
1.0ms	(fma (log (sqrt (+ x y))) (log (+ x y)) (- (pow (log z) 2)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (log (sqrt (+ x y))) (log (+ x y)))
73.0ms	(- (log (+ x y)) (log z))
147.0ms	(pow (log z) 2)
222.0ms	(fma (log (sqrt (+ x y))) (log (+ x y)) (- (pow (log z) 2)))

simplify61.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	542	1118
1	1895	903
2	5002	807

prune532.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
21×	`log-prod`
19×	`pow1`
15×	`log-pow` `distribute-lft-out`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+l+` `fma-def`
9×	`associate-+r+`
6×	`associate-+l-` `log-div` `flip3-+` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`+-commutative` `cbrt-prod` `sum-log`
1×	`pow1/3`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
7.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))

series909.0ms

Counts

4 → 12

Calls

4 calls:

685.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
75.0ms	(+ (log (+ x y)) (log z))
75.0ms	(+ (log (+ x y)) (log z))
74.0ms	(+ (log (+ x y)) (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	601	974
1	2133	892
2	5001	877

prune560.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes596.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	25
1	26	25

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	56720×	body	80	nan
452.0ms	8026×	body	80	valid