Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

316×

body

valid

simplify180.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* y (- z x)))
43.0ms	(* y (- z x))

simplify86.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune59.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.0b	(* y (- z x))
0.3b	(pow (* y (- z x)) 3)
36.8b	(cbrt (pow (* y (- z x)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
6.0ms	(* y (- z x))
6.0ms	(pow (* y (- z x)) 3)
3.0ms	(cbrt (pow (* y (- z x)) 3))

series201.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
37.0ms	(* y (- z x))
56.0ms	(pow (* y (- z x)) 3)
58.0ms	(cbrt (pow (* y (- z x)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	324	422
1	1584	383
2	5001	382

prune151.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (sqrt z) (sqrt x))
0.0b	(* y (+ (sqrt z) (sqrt x)))
0.1b	(* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`associate-r`
10×	`pow1` `add-exp-log` `associate-*r/` `sqrt-prod` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `difference-of-squares`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
2×	`sub-neg` `associate-l/` `-commutative` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

5.0ms	(+ (sqrt z) (sqrt x))
8.0ms	(* y (+ (sqrt z) (sqrt x)))
26.0ms	(* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (sqrt z) (sqrt x))
52.0ms	(* y (+ (sqrt z) (sqrt x)))
149.0ms	(* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	430	671
1	2295	521
2	5001	512

prune136.0ms

Filtered

82 candidates to 52 candidates (63.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Merged error: 0.0b

Counts

85 → 3

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample387.0ms

Algorithm

intervals

Results

192.0ms

9980×

body

valid