Details

sample171.0ms

Algorithm

intervals

Results

89.0ms	1853×	body	80	nan
15.0ms	256×	body	80	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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))

rewrite45.0ms

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:

34.0ms	(- (+ (log (+ x y)) (log z)) t)
0.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
6.0ms	(+ (log (+ x y)) (log z))

series313.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(- (+ (log (+ x y)) (log z)) t)
87.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
70.0ms	(+ (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

prune273.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
36×	`pow1`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
23×	`log-pow`
16×	`prod-diff`
15×	`log-prod`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `fma-neg` `associate-r` `associate-l` `log1p-expm1-u` `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 → 142

Calls

4 calls:

8.0ms	(* (log (+ x y)) (log (+ x y)))
7.0ms	(- (log z) (log (+ x y)))
2.0ms	(pow (log (+ x y)) 3)
2.0ms	(pow (log z) 3)

series708.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (log (+ x y)) (log (+ x y)))
71.0ms	(- (log z) (log (+ x y)))
302.0ms	(pow (log (+ x y)) 3)
170.0ms	(pow (log z) 3)

simplify72.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	395	865
1	1936	708
2	5001	674

prune498.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite22.0ms

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:

0.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
6.0ms	(+ (log (+ x y)) (log z))
6.0ms	(+ (log (+ x y)) (log z))
6.0ms	(+ (log (+ x y)) (log z))

series886.0ms

Counts

4 → 12

Calls

4 calls:

675.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
67.0ms	(+ (log (+ x y)) (log z))
72.0ms	(+ (log (+ x y)) (log z))
72.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (49.0ms)

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

prune569.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`log-prod`
24×	`pow1`
20×	`log-pow` `distribute-lft-out`
16×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `fma-def`
12×	`associate-+r+`
8×	`associate-+l-` `log-div` `flip3-+` `flip-+`
4×	`add-exp-log` `+-commutative` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 120

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
6.0ms	(+ (log (+ x y)) (log z))
10.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))

series300.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
77.0ms	(+ (log (+ x y)) (log z))
70.0ms	(+ (log (+ x y)) (log z))
77.0ms	(+ (log (+ x y)) (log z))

simplify73.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	158	688
1	328	624
2	858	608
3	2691	604
4	5002	604

prune691.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes473.0ms

Accuracy

0% (0.2b 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	23	22
1	23	22

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	56762×	body	80	nan
467.0ms	8025×	body	80	valid