Details

analyze5.0s

Algorithm

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

sample749.0ms

Algorithm

intervals

Results

481.0ms	2017×	body	80	invalid
57.0ms	256×	body	80	valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5427	95

prune21.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 28.4b

Counts

2 → 1

localize64.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite45.0ms

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×	`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	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
15.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
48.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5010	2796

prune423.0ms

Filtered

102 candidates to 124 candidates (-21.6%)

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: 19.6b

Counts

125 → 17

localize67.0ms

Local error

Found 4 expressions with local error:

8.7b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite46.0ms

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×	`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)))
15.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5043	2796

prune452.0ms

Filtered

102 candidates to 124 candidates (-21.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	114	10	124
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	117	24	141

Merged error: 15.3b

Counts

141 → 24

localize76.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite40.0ms

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

series200.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5057	2796

prune497.0ms

Filtered

102 candidates to 124 candidates (-21.6%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	116	8	124
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	119	29	148

Merged error: 11.5b

Counts

148 → 29

localize77.0ms

Local error

Found 4 expressions with local error:

4.9b	(* y0 (* b (- (* j x) (* k z))))
9.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

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

series176.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* y0 (* b (- (* j x) (* k z))))
50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5133	2421

prune163.0ms

Filtered

90 candidates to 120 candidates (-33.3%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	2	26	28
Picked	1	0	1
Done	0	0	0
Total	119	30	149

Merged error: 10.5b

Counts

149 → 30

regimes8.6s

bsearch3.0s

Steps

Iters	Range		Point
7	1.3261337419651956e+85	1.7703952549977839e+87	1.4131253257975825e+87
7	2.5011016620431653e-16	4.634225324691078e-14	1.309125474849145e-14
9	1.4229588930655905e-232	4.935867003531274e-226	4.856532822187671e-230
9	8.293960023198124e-259	2.3677554623078423e-253	1.6425940572424165e-254
6	7.898115146646532e-287	4.613499724761568e-286	2.661905786276993e-286
9	-1.9633800070760452e-287	-2.9056098547405064e-294	-1.1592815334966969e-287
8	-1.3793808924135908e-214	-1.2302842161183201e-218	-4.1227924596557e-217
7	-1.915543192317989e-123	-1.0373240912009527e-124	-1.7917936374755566e-124

Details

analyze5.0s

sample749.0ms

simplify31.0ms

prune21.0ms

localize64.0ms

rewrite45.0ms

series197.0ms

simplify41.0ms

prune423.0ms

localize67.0ms

rewrite46.0ms

series202.0ms

simplify43.0ms

prune452.0ms

localize76.0ms

rewrite40.0ms

series200.0ms

simplify45.0ms

prune497.0ms

localize77.0ms

rewrite38.0ms

series176.0ms

simplify53.0ms

prune163.0ms

regimes8.6s

bsearch3.0s

Profiling