Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

497×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.5b	(* (* y 4.0) (- (* z z) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms	(* (* y 4.0) (- (* z z) t))

series130.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
58.0ms	(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281

prune95.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.2b

localize13.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
7.5b	(* (* y 4.0) (- (* z z) t))
7.5b	(* (* y 4.0) (- (* z z) t))
7.5b	(* (* y 4.0) (- (* z z) t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

7.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
16.0ms	(* (* y 4.0) (- (* z z) t))
13.0ms	(* (* y 4.0) (- (* z z) t))
14.0ms	(* (* y 4.0) (- (* z z) t))

series329.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
64.0ms	(* (* y 4.0) (- (* z z) t))
64.0ms	(* (* y 4.0) (- (* z z) t))
59.0ms	(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	291	616
1	1138	518
2	5002	507

prune246.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.1b

localize17.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
7.5b	(* (* y 4.0) (- (* z z) t))
7.5b	(* (* y 4.0) (- (* z z) t))
8.2b	(cbrt (- (* z z) t))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

8.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
13.0ms	(* (* y 4.0) (- (* z z) t))
13.0ms	(* (* y 4.0) (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))

series342.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
62.0ms	(* (* y 4.0) (- (* z z) t))
58.0ms	(* (* y 4.0) (- (* z z) t))
87.0ms	(cbrt (- (* z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	343	563
1	1300	487
2	5002	475

prune297.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.1b

localize23.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (* y 4.0) (- (* z z) t))
8.2b	(cbrt (- (* z z) t))
8.2b	(cbrt (- (* z z) t))
8.2b	(cbrt (- (* z z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

13.0ms	(* (* y 4.0) (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))

series333.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* y 4.0) (- (* z z) t))
89.0ms	(cbrt (- (* z z) t))
91.0ms	(cbrt (- (* z z) t))
88.0ms	(cbrt (- (* z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	267	501
1	1086	451
2	5001	444

prune313.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.1b

regimes438.0ms

Accuracy

81.9% (0.7b remaining)

Error of 3.1b against oracle of 2.4b and baseline of 6.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample889.0ms

Algorithm

intervals

Results

489.0ms

15827×

body

valid