Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

517×

body

valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (105.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.4b	(* (* y 4.0) (- (* z z) t))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
8×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

12.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
42.0ms	(* (* y 4.0) (- (* z z) t))

series151.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
70.0ms	(* (* y 4.0) (- (* z z) t))

simplify68.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	385	490
1	1737	408
2	5001	399

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.5b

localize18.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
16×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
6×	`sub-neg`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative` `difference-of-squares`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 112

Calls

4 calls:

24.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
37.0ms	(* (* y 4.0) (- (* z z) t))
40.0ms	(* (* y 4.0) (- (* z z) t))
39.0ms	(* (* y 4.0) (- (* z z) t))

series365.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
73.0ms	(* (* y 4.0) (- (* z z) t))
70.0ms	(* (* y 4.0) (- (* z z) t))
72.0ms	(* (* y 4.0) (- (* z z) t))

simplify68.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	372	893
1	1524	699
2	5002	690

prune328.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.5b

localize18.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))
8.0b	(cbrt (- (* z z) t))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`prod-diff`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`cbrt-prod`
4×	`expm1-log1p-u` `sub-neg` `cbrt-div` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 95

Calls

4 calls:

20.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
41.0ms	(* (* y 4.0) (- (* z z) t))
38.0ms	(* (* y 4.0) (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))

series383.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
67.0ms	(* (* y 4.0) (- (* z z) t))
63.0ms	(* (* y 4.0) (- (* z z) t))
94.0ms	(cbrt (- (* z z) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	425	759
1	1687	619
2	5001	612

prune378.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
20×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
16×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sub-neg` `associate-*r/`
4×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

41.0ms	(* (* y 4.0) (- (* z z) t))
38.0ms	(* (* y 4.0) (- (* z z) t))
39.0ms	(* (* y 4.0) (- (* z z) t))
41.0ms	(* (* y 4.0) (- (* z z) t))

series291.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* y 4.0) (- (* z z) t))
71.0ms	(* (* y 4.0) (- (* z z) t))
71.0ms	(* (* y 4.0) (- (* z z) t))
74.0ms	(* (* y 4.0) (- (* z z) t))

simplify61.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	265	1020
1	1241	772
2	5001	768

prune406.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.5b

regimes477.0ms

Accuracy

80.6% (0.7b remaining)

Error of 3.2b against oracle of 2.5b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

476.0ms

15862×

body

valid