Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	3

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
4×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

8.0ms

(* a (+ (+ b c) d))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* a (+ (+ b c) d))

simplify106.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	160	140
1	790	126
2	4610	126
3	5001	126

prune51.0ms

Filtered

35 candidates to 25 candidates (28.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize214.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a b (* a c))
0.0b	(fma d a (fma a b (* a c)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma a b (* a c))
1.0ms	(fma d a (fma a b (* a c)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma a b (* a c))
35.0ms	(fma d a (fma a b (* a c)))

simplify38.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	43	98
1	149	86
2	782	86
3	5001	86

prune56.0ms

Filtered

26 candidates to 21 candidates (19.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.3b	(* a (sqrt (+ (+ b c) d)))
0.3b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`sqrt-prod`
24×	`associate-r` `associate-l`
18×	`sqrt-div`
15×	`add-cube-cbrt` `distribute-lft-out`
14×	`unswap-sqr`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `hypot-def`

Counts

4 → 124

Calls

4 calls:

6.0ms	(sqrt (+ (+ b c) d))
6.0ms	(sqrt (+ (+ b c) d))
9.0ms	(* a (sqrt (+ (+ b c) d)))
21.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (+ (+ b c) d))
56.0ms	(sqrt (+ (+ b c) d))
86.0ms	(* a (sqrt (+ (+ b c) d)))
74.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify61.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	391	999
1	1558	845
2	5001	812

prune190.0ms

Filtered

136 candidates to 89 candidates (34.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	136	4	140

Merged error: 0b

Counts

140 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.5b	(* (- (* (+ b c) (+ b c)) (* d d)) a)
6.8b	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

1043×	`*-un-lft-identity`
895×	`add-sqr-sqrt`
495×	`associate-l`
324×	`swap-sqr`
300×	`prod-diff`
282×	`times-frac`
273×	`difference-of-squares`
259×	`add-cube-cbrt`
204×	`distribute-lft-out`
186×	`distribute-lft-out--`
152×	`associate-r`
135×	`*-commutative` `unswap-sqr`
47×	`associate-/l*`
20×	`fma-neg`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-l/` `associate-/r` `flip-+` `add-log-exp`
4×	`+-commutative` `distribute-rgt-in` `expm1-log1p-u` `frac-times` `flip3--` `distribute-lft-in` `associate--l+` `flip--` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `pow-prod-down` `associate-/r/` `associate-/l/`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 829

Calls

4 calls:

35.0ms	(- (* (+ b c) (+ b c)) (* d d))
8.0ms	(* (+ b c) (+ b c))
35.0ms	(* (- (* (+ b c) (+ b c)) (* d d)) a)
50.0ms	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

series254.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* (+ b c) (+ b c)) (* d d))
15.0ms	(* (+ b c) (+ b c))
87.0ms	(* (- (* (+ b c) (+ b c)) (* d d)) a)
85.0ms	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

simplify154.0ms

Algorithm

egg-herbie

Counts

841 → 841

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1402	10485
1	5001	8855

prune436.0ms

Filtered

841 candidates to 194 candidates (76.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	841	0	841
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	841	4	845

Merged error: 0b

Counts

845 → 4

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	3
1	12	3

end0.0ms

sample552.0ms

Algorithm

intervals

Results

188.0ms	8000×	pre	80	true
166.0ms	8000×	body	80	valid