Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

398×

body

valid

simplify313.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	443	3
10	797	3
11	3499	3
12	5001	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 3 (* z z) (* x y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma 3 (* z z) (* x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	59
1	79	52
2	256	52
3	1025	52
4	5001	52

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+ (* 3 (* z z)) (* x y))
7.0ms	(* 3 (* z z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* 3 (* z z)) (* x y))
29.0ms	(* 3 (* z z))

simplify90.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	176	174
1	664	155
2	2741	148
3	5002	148

prune75.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 34

Calls

2 calls:

6.0ms	(+ (* (* 3 z) z) (* x y))
6.0ms	(* (* 3 z) z)

series61.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (* 3 z) z) (* x y))
25.0ms	(* (* 3 z) z)

simplify130.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	185	172
1	865	153
2	4444	147
3	5001	145

prune71.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (* 3 z) (sqrt z)) (sqrt z))
0.1b	(* (* 3 z) (sqrt z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 49

Calls

2 calls:

27.0ms	(* (* (* 3 z) (sqrt z)) (sqrt z))
8.0ms	(* (* 3 z) (sqrt z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (* (* 3 z) (sqrt z)) (sqrt z))
45.0ms	(* (* 3 z) (sqrt z))

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	248	283
1	1296	230
2	5001	221

prune87.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample559.0ms

Algorithm

intervals

Results

309.0ms

12205×

body

valid