Details

sample81.0ms

Algorithm

intervals

Results

44.0ms

653×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.2b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.7b	(* x (- (* y z) (* t a)))
6.0b	(* b (- (* c z) (* i a)))
6.5b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

720×	`prod-diff`
653×	`add-sqr-sqrt`
395×	`*-un-lft-identity`
385×	`associate-r`
381×	`associate-l`
371×	`add-cube-cbrt`
292×	`distribute-rgt-in` `distribute-lft-in`
135×	`unswap-sqr`
123×	`*-commutative`
12×	`fma-neg` `distribute-lft-out--` `difference-of-squares`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`sub-neg`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`diff-log` `fma-udef`

Counts

4 → 832

Calls

4 calls:

17.0ms	(- (* c z) (* i a))
31.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* c z) (* i a)))
1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* c z) (* i a))
78.0ms	(* x (- (* y z) (* t a)))
79.0ms	(* b (- (* c z) (* i a)))
628.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))

simplify163.0ms

Algorithm

egg-herbie

Counts

844 → 844

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1736	13531
1	5001	9255

prune798.0ms

Filtered

844 candidates to 157 candidates (81.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	828	16	844
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	829	16	845

Merged error: 7.0b

Counts

845 → 16

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (* y z))
5.2b	(* x (- (* t a)))
6.0b	(* b (- (* c z) (* i a)))
6.5b	(fma (- (* c t) (* i y)) j (- (+ (* x (* y z)) (* x (- (* t a)))) (* b (- (* c z) (* i a)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

288×	`prod-diff`
285×	`add-sqr-sqrt`
204×	`associate-r`
170×	`*-un-lft-identity`
166×	`associate-l`
162×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
60×	`unswap-sqr`
54×	`*-commutative`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`sub-neg` `associate-*r/`
1×	`neg-mul-1` `flip3--` `distribute-rgt-neg-out` `flip--` `fma-udef`

Counts

4 → 411

Calls

4 calls:

8.0ms	(* x (* y z))
10.0ms	(* x (- (* t a)))
27.0ms	(* b (- (* c z) (* i a)))
1.0ms	(fma (- (* c t) (* i y)) j (- (+ (* x (* y z)) (* x (- (* t a)))) (* b (- (* c z) (* i a)))))

series773.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* x (* y z))
36.0ms	(* x (- (* t a)))
80.0ms	(* b (- (* c z) (* i a)))
629.0ms	(fma (- (* c t) (* i y)) j (- (+ (* x (* y z)) (* x (- (* t a)))) (* b (- (* c z) (* i a)))))

simplify164.0ms

Algorithm

egg-herbie

Counts

423 → 423

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1201	5934
1	4496	4175
2	5001	4175

prune625.0ms

Filtered

423 candidates to 123 candidates (70.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	416	7	423
Fresh	9	6	15
Picked	1	0	1
Done	0	0	0
Total	426	13	439

Merged error: 6.5b

Counts

439 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (* y z))
4.2b	(* a (* x t))
6.0b	(* b (- (* c z) (* i a)))
6.5b	(fma (- (* c t) (* i y)) j (- (+ (* x (* y z)) (* -1 (* a (* x t)))) (* b (- (* c z) (* i a)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

288×	`prod-diff`
282×	`add-sqr-sqrt`
185×	`associate-r`
166×	`*-un-lft-identity`
163×	`associate-l`
158×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
61×	`unswap-sqr`
53×	`*-commutative`
16×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `flip--` `fma-udef`

Counts

4 → 398

Calls

4 calls:

8.0ms	(* x (* y z))
8.0ms	(* a (* x t))
31.0ms	(* b (- (* c z) (* i a)))
1.0ms	(fma (- (* c t) (* i y)) j (- (+ (* x (* y z)) (* -1 (* a (* x t)))) (* b (- (* c z) (* i a)))))

series800.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* y z))
34.0ms	(* a (* x t))
78.0ms	(* b (- (* c z) (* i a)))
659.0ms	(fma (- (* c t) (* i y)) j (- (+ (* x (* y z)) (* -1 (* a (* x t)))) (* b (- (* c z) (* i a)))))

simplify364.0ms

Algorithm

egg-herbie

Counts

410 → 410

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1156	5880
1	4301	4116
2	5001	4116

prune550.0ms

Filtered

410 candidates to 111 candidates (72.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	406	4	410
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	411	12	423

Merged error: 6.3b

Counts

423 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

4.2b	(* a (* x t))
5.0b	(* (* x z) y)
6.0b	(* b (- (* c z) (* i a)))
6.5b	(fma (- (* c t) (* i y)) j (- (+ (* (* x z) y) (* -1 (* a (* x t)))) (* b (- (* c z) (* i a)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

288×	`prod-diff`
282×	`add-sqr-sqrt`
176×	`associate-r`
172×	`associate-l`
166×	`*-un-lft-identity`
158×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
61×	`unswap-sqr`
53×	`*-commutative`
16×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `flip--` `fma-udef`

Counts

4 → 398

Calls

4 calls:

8.0ms	(* a (* x t))
8.0ms	(* (* x z) y)
29.0ms	(* b (- (* c z) (* i a)))
1.0ms	(fma (- (* c t) (* i y)) j (- (+ (* (* x z) y) (* -1 (* a (* x t)))) (* b (- (* c z) (* i a)))))

series785.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* a (* x t))
29.0ms	(* (* x z) y)
81.0ms	(* b (- (* c z) (* i a)))
646.0ms	(fma (- (* c t) (* i y)) j (- (+ (* (* x z) y) (* -1 (* a (* x t)))) (* b (- (* c z) (* i a)))))

simplify144.0ms

Algorithm

egg-herbie

Counts

410 → 410

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1149	5878
1	4217	4114
2	5001	4114

prune506.0ms

Filtered

410 candidates to 111 candidates (72.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	407	3	410
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	409	13	422

Merged error: 6.2b

Counts

422 → 13

regimes762.0ms

Accuracy

3.3% (8.2b remaining)

Error of 12.0b against oracle of 3.8b and baseline of 12.3b

bsearch175.0ms

Steps

Iters	Range		Point
5	1.4529457323202143e-287	5.0886813643217036e-287	3.209894859434111e-287
8	-3.824042545949517e-260	-6.2833960773656194e-263	-8.622894133962924e-262

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	48
1	109	48
2	120	48
3	125	48
4	127	48
5	127	48

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

19253×

body

valid