Details

sample643.0ms

Algorithm

intervals

Results

447.0ms

2115×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	132	47
1	350	47
2	1758	47
3	5001	47

prune15.0ms

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: 25.0b

Counts

2 → 1

localize60.0ms

Local error

Found 4 expressions with local error:

8.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.1b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
165.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
166.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
345.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune1.9s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	109	23	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	23	133

Merged error: 17.6b

Counts

133 → 23

localize62.0ms

Local error

Found 4 expressions with local error:

8.0b	(* (- (* t j) (* y k)) (neg (* y5 i)))
8.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.1b	(* (- (* t j) (* y k)) (* y4 b))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-*l/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* (- (* t j) (* y k)) (neg (* y5 i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.0ms	(* (- (* t j) (* y k)) (* y4 b))

series515.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (- (* t j) (* y k)) (neg (* y5 i)))
165.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
164.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
94.0ms	(* (- (* t j) (* y k)) (* y4 b))

simplify107.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	815	1159
1	3992	1044
2	5002	1044

prune1.6s

Filtered

116 candidates to 84 candidates (72.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	116	23	139

Merged error: 17.0b

Counts

139 → 23

localize60.0ms

Local error

Found 4 expressions with local error:

8.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0b	(* (- (* t j) (* y k)) (neg (* y5 i)))
8.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
15×	`associate-r`
12×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
8×	`associate-*l/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 114

Calls

4 calls:

8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.0ms	(* (- (* t j) (* y k)) (neg (* y5 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
93.0ms	(* (- (* t j) (* y k)) (neg (* y5 i)))
165.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
163.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify122.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	971	1385
1	4809	1273
2	5001	1273

prune1.7s

Filtered

126 candidates to 93 candidates (73.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	127	22	149

Merged error: 16.7b

Counts

149 → 22

localize65.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
175.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
169.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
170.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5001	1484

prune1.8s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	130	24	154

Merged error: 15.2b

Counts

154 → 24

Details

sample643.0ms

simplify46.0ms

prune15.0ms

localize60.0ms

rewrite38.0ms

series838.0ms

simplify46.0ms

prune1.9s

localize62.0ms

rewrite32.0ms

series515.0ms

simplify107.0ms

prune1.6s

localize60.0ms

rewrite36.0ms

series587.0ms

simplify122.0ms

prune1.7s

localize65.0ms

rewrite36.0ms

series684.0ms

simplify48.0ms

prune1.8s

regimes6.1s

bsearch16.0ms

Profiling