Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

325×

body

valid

simplify179.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (65.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.7b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

10.0ms	(* (- 1.0 y) z)
9.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- 1.0 y) z)
52.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	244	345
1	1005	301
2	5001	292

prune132.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.7b	(* (* x z) (- y 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 82

Calls

2 calls:

7.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
14.0ms	(* (* x z) (- y 1.0))

series132.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
58.0ms	(* (* x z) (- y 1.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	448	736
1	1854	512
2	5001	506

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* x z) (- y 1.0))
7.0b	(cbrt (* (* x z) (- y 1.0)))
7.0b	(cbrt (* (* x z) (- y 1.0)))
7.0b	(cbrt (* (* x z) (- y 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))

series730.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* x z) (- y 1.0))
222.0ms	(cbrt (* (* x z) (- y 1.0)))
224.0ms	(cbrt (* (* x z) (- y 1.0)))
224.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	491	1055
1	1922	856
2	5001	844

prune327.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* x z) (- y 1.0))
7.0b	(cbrt (* (* x z) (- y 1.0)))
7.0b	(cbrt (* (* x z) (- y 1.0)))
9.7b	(cbrt (* x z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

14.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
2.0ms	(cbrt (* x z))

series583.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x z) (- y 1.0))
226.0ms	(cbrt (* (* x z) (- y 1.0)))
224.0ms	(cbrt (* (* x z) (- y 1.0)))
82.0ms	(cbrt (* x z))

simplify67.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	530	905
1	2008	714
2	5001	702

prune335.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample437.0ms

Algorithm

intervals

Results

235.0ms

10138×

body

valid