Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

392×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	26	6
1	81	5
2	248	4
3	613	4
4	1295	4
5	2524	4
6	3349	4
7	4389	4
8	4648	4
9	4648	4

prune9.0ms

Filtered

1 candidates to 1 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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

7.0ms	(* d1 (- d4 d1))
1.0ms	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* d1 (- d4 d1))
53.0ms	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify35.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	213	430
1	888	283
2	5002	273

prune98.0ms

Filtered

62 candidates to 33 candidates (53.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `diff-log`
5×	`prod-diff`
4×	`fma-def` `fma-neg` `sum-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate-+l-` `flip3--` `flip--` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
4.0ms	(- (* d1 d2) (* d1 d3))

series129.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
40.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
37.0ms	(- (* d1 d2) (* d1 d3))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	299	485
1	1295	403
2	5001	388

prune212.0ms

Filtered

73 candidates to 57 candidates (78.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0b

Counts

78 → 5

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d1 d4 (- (* d1 d3)))
0.0b	(- (+ (* d1 d2) (fma d1 d4 (- (* d1 d3)))) (* d1 d1))
0.0b	(+ (* d1 d2) (fma d1 d4 (- (* d1 d3))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `prod-diff` `add-cbrt-cube` `log1p-expm1-u`
2×	`diff-log` `sum-log` `fma-udef`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `fma-def` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

1.0ms	(fma d1 d4 (- (* d1 d3)))
10.0ms	(- (+ (* d1 d2) (fma d1 d4 (- (* d1 d3)))) (* d1 d1))
6.0ms	(+ (* d1 d2) (fma d1 d4 (- (* d1 d3))))

series141.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma d1 d4 (- (* d1 d3)))
55.0ms	(- (+ (* d1 d2) (fma d1 d4 (- (* d1 d3)))) (* d1 d1))
44.0ms	(+ (* d1 d2) (fma d1 d4 (- (* d1 d3))))

simplify31.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	211	417
1	878	349
2	5002	334

prune126.0ms

Filtered

57 candidates to 48 candidates (84.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	58	4	62

Merged error: 0b

Counts

62 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d1 d4 (- (* d1 d3)))
0.0b	(- (fma d1 d2 (fma d1 d4 (- (* d1 d3)))) (* d1 d1))
0.0b	(fma d1 d2 (fma d1 d4 (- (* d1 d3))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `prod-diff` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

1.0ms	(fma d1 d4 (- (* d1 d3)))
3.0ms	(- (fma d1 d2 (fma d1 d4 (- (* d1 d3)))) (* d1 d1))
1.0ms	(fma d1 d2 (fma d1 d4 (- (* d1 d3))))

series145.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma d1 d4 (- (* d1 d3)))
58.0ms	(- (fma d1 d2 (fma d1 d4 (- (* d1 d3)))) (* d1 d1))
45.0ms	(fma d1 d2 (fma d1 d4 (- (* d1 d3))))

simplify72.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	142	342
1	469	289
2	2518	275
3	5001	247

prune103.0ms

Filtered

51 candidates to 42 candidates (82.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Merged error: 0b

Counts

55 → 4

regimes100.0ms

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	15	6
1	17	6
2	17	6

end0.0ms

sample721.0ms

Algorithm

intervals

Results

389.0ms

11907×

body

valid