Details

analyze5.3s (28.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

sample693.0ms (3.7%)

Algorithm

1×

intervals

Results

435.0ms	1884×	body	80	invalid
60.0ms	256×	body	80	valid

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5427	95

prune20.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.3b

Counts

2 → 1

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.8b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.3b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite46.0ms (0.3%)

Algorithm

1×	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×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

16.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series206.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
49.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5004	2800

prune415.0ms (2.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	107	17	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	17	125

Merged error: 21.1b

Counts

125 → 17

localize77.0ms (0.4%)

Local error

Found 4 expressions with local error:

9.4b	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
9.4b	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
9.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.3b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite42.0ms (0.2%)

Algorithm

1×	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×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

10.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
10.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

series209.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
53.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
50.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5089	2800

prune385.0ms (2.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	123	18	141

Merged error: 21.1b

Counts

141 → 18

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

9.4b	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
9.4b	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
9.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.3b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite42.0ms (0.2%)

Algorithm

1×	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×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

10.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
10.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

series208.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
53.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))
50.0ms	(* (- (* x y) (* z t)) (- (* b a) (* i c)))

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5089	2800

prune382.0ms (2.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	124	18	142

Merged error: 21.1b

Counts

142 → 18

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

8.7b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.3b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite41.0ms (0.2%)

Algorithm

1×	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×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

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

series204.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
52.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5004	2800

prune218.0ms (1.2%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	0	15	15
Picked	1	0	1
Done	0	2	2
Total	120	22	142

Merged error: 19.8b

Counts

142 → 22

regimes6.0s (32.6%)

bsearch754.0ms (4.1%)

Steps

Iters	Range		Point
9	2.397760382921155e-84	1.7085218740174473e-78	1.9468420221196857e-80
7	2.277886947560891e-302	2.6079205053202543e-300	2.568531302927676e-301

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	2094	344
1	2094	344

end0.0ms (0%)

sample2.7s (14.8%)

Algorithm

1×

intervals

Results

1.8s	7665×	body	80	invalid
224.0ms	987×	body	80	valid

Details

analyze5.3s (28.6%)

sample693.0ms (3.7%)

simplify33.0ms (0.2%)

prune20.0ms (0.1%)

localize63.0ms (0.3%)

rewrite46.0ms (0.3%)

series206.0ms (1.1%)

simplify45.0ms (0.2%)

prune415.0ms (2.2%)

localize77.0ms (0.4%)

rewrite42.0ms (0.2%)

series209.0ms (1.1%)

simplify55.0ms (0.3%)

prune385.0ms (2.1%)

localize82.0ms (0.4%)

rewrite42.0ms (0.2%)

series208.0ms (1.1%)

simplify54.0ms (0.3%)

prune382.0ms (2.1%)

localize68.0ms (0.4%)

rewrite41.0ms (0.2%)

series204.0ms (1.1%)

simplify47.0ms (0.3%)

prune218.0ms (1.2%)

regimes6.0s (32.6%)

bsearch754.0ms (4.1%)

simplify59.0ms (0.3%)

end0.0ms (0%)

sample2.7s (14.8%)

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