Details

analyze2.0s (23.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample97.0ms (1.1%)

Algorithm

1×

intervals

Results

35.0ms	382×	body	80	invalid
21.0ms	256×	body	80	valid

simplify306.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (304.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune12.0ms (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: 13.7b

Counts

2 → 1

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
5.4b	(* x (- (* y z) (* t a)))
5.6b	(* j (- (* c a) (* y i)))
6.6b	(* b (- (* c z) (* t i)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
4.0ms	(- (* c a) (* y i))

series69.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(* b (- (* c z) (* t i)))
19.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* j (- (* c a) (* y i)))
10.0ms	(- (* c a) (* y i))

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune221.0ms (2.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	75	14	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	14	90

Merged error: 5.5b

Counts

90 → 14

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b	(* t (* a (neg x)))
5.3b	(* z (* y x))
5.6b	(* j (- (* c a) (* y i)))
6.6b	(* b (- (* c z) (* t i)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* t (* a (neg x)))
4.0ms	(* z (* y x))

series53.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (- (* c a) (* y i)))
19.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* t (* a (neg x)))
6.0ms	(* z (* y x))

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5059	786

prune210.0ms (2.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	92	15	107

Merged error: 4.5b

Counts

107 → 15

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b	(* t (* a (neg x)))
5.1b	(* i (* j (neg y)))
5.3b	(* z (* y x))
6.6b	(* b (- (* c z) (* t i)))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`*-commutative` `distribute-rgt-neg-out` `add-log-exp`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* t (* a (neg x)))
5.0ms	(* i (* j (neg y)))
5.0ms	(* z (* y x))

series37.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* i (* j (neg y)))
6.0ms	(* t (* a (neg x)))
6.0ms	(* z (* y x))

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5121	663

prune211.0ms (2.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	88	17	105

Merged error: 4.0b

Counts

105 → 17

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.3b	(* z (* y x))
7.5b	(cbrt (- (* c z) (* t i)))
7.5b	(cbrt (- (* c z) (* t i)))
7.5b	(cbrt (- (* c z) (* t i)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

6.0ms	(* z (* y x))
4.0ms	(cbrt (- (* c z) (* t i)))
4.0ms	(cbrt (- (* c z) (* t i)))
3.0ms	(cbrt (- (* c z) (* t i)))

series121.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (- (* c z) (* t i)))
38.0ms	(cbrt (- (* c z) (* t i)))
37.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(* z (* y x))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5037	747

prune96.0ms (1.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	66	20	86

Merged error: 4.0b

Counts

86 → 20

regimes2.1s (24.5%)

Accuracy

Total 6.6b remaining (69.9%)

Threshold costs 0b (0%)

bsearch149.0ms (1.7%)

Steps

Iters	Range		Point
4	5.611530944270984e-13	9.90909152247946e-13	9.665936002114873e-13
6	9.69112760541534e-215	1.0653943224110857e-213	5.597537063294022e-214
4	-1.6376163619596534e-204	-1.205142519264563e-204	-1.3978181088597517e-204
8	-107559255341.44293	-2677674.0645948304	-88796694.52684127

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	1037	201
1	1037	201

end0.0ms (0%)

sample2.6s (29.8%)

Algorithm

1×

intervals

Results

924.0ms	11036×	body	80	invalid
697.0ms	8000×	body	80	valid

Details

analyze2.0s (23.2%)

sample97.0ms (1.1%)

simplify306.0ms (3.5%)

prune12.0ms (0.1%)

localize20.0ms (0.2%)

rewrite23.0ms (0.3%)

series69.0ms (0.8%)

simplify44.0ms (0.5%)

prune221.0ms (2.5%)

localize25.0ms (0.3%)

rewrite23.0ms (0.3%)

series53.0ms (0.6%)

simplify33.0ms (0.4%)

prune210.0ms (2.4%)

localize28.0ms (0.3%)

rewrite22.0ms (0.3%)

series37.0ms (0.4%)

simplify33.0ms (0.4%)

prune211.0ms (2.4%)

localize29.0ms (0.3%)

rewrite18.0ms (0.2%)

series121.0ms (1.4%)

simplify52.0ms (0.6%)

prune96.0ms (1.1%)

regimes2.1s (24.5%)

bsearch149.0ms (1.7%)

simplify24.0ms (0.3%)

end0.0ms (0%)

sample2.6s (29.8%)

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