Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

290×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
9×	`add-log-exp`
8×	`distribute-lft-out`
4×	`sum-log`
3×	`+-commutative`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `associate-l` `add-cbrt-cube` `flip-+`
1×	`*-commutative` `div-inv`

Counts

2 → 31

Calls

2 calls:

17.0ms	(+ (+ (/ x 2.0) (* y x)) z)
13.0ms	(+ (/ x 2.0) (* y x))

series74.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ (/ x 2.0) (* y x)) z)
45.0ms	(+ (/ x 2.0) (* y x))

simplify52.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	163	198
1	514	186
2	1765	180
3	5001	178

prune47.0ms

Filtered

37 candidates to 24 candidates (35.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	1	38

Merged error: 0.0b

Counts

38 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (/ 1 2.0) y)) z)
0.0b	(* x (+ (/ 1 2.0) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`+-commutative` `associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `associate-+l+` `distribute-lft-in` `associate-l` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

15.0ms	(+ (* x (+ (/ 1 2.0) y)) z)
11.0ms	(* x (+ (/ 1 2.0) y))

series72.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x (+ (/ 1 2.0) y)) z)
37.0ms	(* x (+ (/ 1 2.0) y))

simplify87.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	202	227
1	778	205
2	3593	202
3	5002	202

prune63.0ms

Filtered

49 candidates to 32 candidates (34.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series758.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
187.0ms	(cbrt x)
183.0ms	(cbrt x)
186.0ms	(cbrt x)

simplify97.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune152.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y))) (- (/ 1 2.0) y)) z)
5.7b	(* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y)))
9.0b	(/ (* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y))) (- (/ 1 2.0) y))

rewrite655.0ms

Algorithm

rewrite-expression-head

Rules

3236×	`add-sqr-sqrt`
1772×	`times-frac`
1144×	`*-un-lft-identity`
1044×	`difference-of-squares`
880×	`associate-r`
610×	`unswap-sqr`
380×	`swap-sqr`
296×	`distribute-lft-out--`
210×	`*-commutative`
159×	`div-inv`
130×	`add-cube-cbrt`
100×	`associate-l`
97×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
5×	`pow1` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 1020

Calls

3 calls:

309.0ms	(+ (/ (* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y))) (- (/ 1 2.0) y)) z)
79.0ms	(* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y)))
118.0ms	(/ (* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y))) (- (/ 1 2.0) y))

series458.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (/ (* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y))) (- (/ 1 2.0) y)) z)
70.0ms	(* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y)))
303.0ms	(/ (* x (- (* (/ 1 2.0) (/ 1 2.0)) (* y y))) (- (/ 1 2.0) y))

simplify215.0ms

Algorithm

egg-herbie

Counts

1029 → 1029

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2362	16593
1	5002	15370

prune580.0ms

Filtered

1029 candidates to 215 candidates (79.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1029	0	1029
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1029	3	1032

Merged error: 0b

Counts

1032 → 3

regimes47.0ms

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	14	4
1	14	4

end0.0ms

sample412.0ms

Algorithm

intervals

Results

221.0ms	9175×	body	80	valid
0.0ms	3×	body	640	valid