Details

analyze1.9s

Algorithm

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

sample91.0ms

Algorithm

intervals

Results

28.0ms	364×	body	80	invalid
25.0ms	256×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

prune12.0ms

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: 15.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.5b	(* x (- (* y z) (* t a)))
7.4b	(* b (- (* c z) (* i a)))
8.2b	(* j (- (* c t) (* i y)))

rewrite25.0ms

Algorithm

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:

3.0ms	(- (* c z) (* i a))
5.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c z) (* i a))
18.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* c z) (* i a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	937
1	4977	937

prune231.0ms

Filtered

62 candidates to 89 candidates (-43.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	70	19	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	19	90

Merged error: 4.5b

Counts

90 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b	(* c (* b z))
4.5b	(* x (- (* y z) (* t a)))
4.7b	(* i (* b (neg a)))
8.2b	(* j (- (* c t) (* i y)))

rewrite23.0ms

Algorithm

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:

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

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* c (* b z))
21.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* i (* b (neg a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5487	786

prune220.0ms

Filtered

59 candidates to 93 candidates (-57.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	5	13	18
Picked	1	0	1
Done	0	0	0
Total	91	21	112

Merged error: 3.7b

Counts

112 → 21

localize22.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* i b) (neg a))
4.0b	(* c (* b z))
4.5b	(* x (- (* y z) (* t a)))
8.2b	(* j (- (* c t) (* i y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* i b) (neg a))
6.0ms	(* c (* b z))
21.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5044	831

prune223.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	99	22	121

Merged error: 3.7b

Counts

121 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (cbrt i) (cbrt i)) (* b (* a (neg (cbrt i)))))
4.0b	(* c (* b z))
4.5b	(* x (- (* y z) (* t a)))
8.2b	(* j (- (* c t) (* i y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

12.0ms	(* (* (cbrt i) (cbrt i)) (* b (* a (neg (cbrt i)))))
5.0ms	(* c (* b z))
5.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* j (- (* c t) (* i y)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (cbrt i) (cbrt i)) (* b (* a (neg (cbrt i)))))
6.0ms	(* c (* b z))
20.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4975	862
1	4975	862

prune82.0ms

Filtered

63 candidates to 103 candidates (-63.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	104	21	125

Merged error: 3.7b

Counts

125 → 21

regimes2.2s

Accuracy

3.7% (8.4b remaining)

Error of 11.9b against oracle of 3.5b and baseline of 12.2b

bsearch14.7s

Steps

Iters	Range		Point
4	8975897.37773738	15812726.944864595	13889868.629110064
7	-8.029782999184357e-230	-2.297526162790289e-231	-6.616035417948317e-230
8	-4.464304238795302e-129	-1.1235862709464211e-131	-1.0982736775407795e-130
8	-1.9950078136163782e+27	-1.5556648518945725e+23	-3.272422188176238e+24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	130	190
1	130	190

end0.0ms

analyze1.9s

Algorithm

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

sample2.4s

Algorithm

intervals

Results

876.0ms	11093×	body	80	invalid
642.0ms	8000×	body	80	valid

Details

analyze1.9s

sample91.0ms

simplify3.0ms

prune12.0ms

localize20.0ms

rewrite25.0ms

series64.0ms

simplify64.0ms

prune231.0ms

localize22.0ms

rewrite23.0ms

series50.0ms

simplify50.0ms

prune220.0ms

localize22.0ms

rewrite23.0ms

series51.0ms

simplify38.0ms

prune223.0ms

localize26.0ms

rewrite30.0ms

series54.0ms

simplify58.0ms

prune82.0ms

regimes2.2s

bsearch14.7s

simplify2.0ms

end0.0ms

analyze1.9s

sample2.4s

Profiling