Details

analyze2.0s

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

sample93.0ms

Algorithm

intervals

Results

32.0ms	350×	body	80	invalid
20.0ms	256×	body	80	valid

simplify308.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (306.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	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: 12.1b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
3.7b	(* b (- (* c z) (* i a)))
4.9b	(* j (- (* c t) (* i y)))
6.5b	(* x (- (* y z) (* t a)))

rewrite23.0ms

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

series68.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* y z) (* t a))
22.0ms	(* b (- (* c z) (* i a)))
18.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* x (- (* y z) (* t a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4926	937
1	4926	937

prune231.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Merged error: 5.2b

Counts

90 → 17

localize29.0ms

Local error

Found 4 expressions with local error:

4.5b	(cbrt (- (* z c) (* a i)))
4.5b	(cbrt (- (* c z) (* i a)))
4.9b	(* j (- (* c t) (* i y)))
6.5b	(* x (- (* y z) (* t a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

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

series110.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (- (* z c) (* a i)))
36.0ms	(cbrt (- (* c z) (* i a)))
18.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* x (- (* y z) (* t a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5029	948

prune217.0ms

Filtered

67 candidates to 82 candidates (-22.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	16	16
Picked	1	0	1
Done	0	0	0
Total	80	19	99

Merged error: 5.2b

Counts

99 → 19

localize25.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (* x (- (* y z) (* t a))))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))

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`
8×	`associate-*r/`
6×	`sub-neg`
4×	`flip3--` `flip--` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 77

Calls

4 calls:

4.0ms	(cbrt (* x (- (* y z) (* t a))))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* x (- (* y z) (* t a)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (* x (- (* y z) (* t a))))
18.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* x (- (* y z) (* t a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4999	981
1	4999	981

prune202.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	89	19	108

Merged error: 5.2b

Counts

108 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (cbrt j) (cbrt j)) (* (- (* t c) (* y i)) (cbrt j)))
2.8b	(* (- (* t c) (* y i)) (cbrt j))
3.7b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

12.0ms	(* (* (cbrt j) (cbrt j)) (* (- (* t c) (* y i)) (cbrt j)))
6.0ms	(* (- (* t c) (* y i)) (cbrt j))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* (cbrt j) (cbrt j)) (* (- (* t c) (* y i)) (cbrt j)))
38.0ms	(* (- (* t c) (* y i)) (cbrt j))
18.0ms	(* b (- (* c z) (* i a)))
19.0ms	(* x (- (* y z) (* t a)))

simplify39.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5000	1138

prune101.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	16	17
Picked	1	0	1
Done	0	1	1
Total	105	18	123

Merged error: 5.2b

Counts

123 → 18

regimes1.9s

Accuracy

34.6% (5.4b remaining)

Error of 9.6b against oracle of 4.1b and baseline of 12.5b

bsearch119.0ms

Steps

Iters	Range		Point
8	1.2832758898636e-46	9.691248242929188e-44	7.898166626827697e-44
8	-6.415938477660644e+88	-9.720105932514404e+85	-3.998983378887365e+87

simplify26.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	1021	106
1	1021	106

end0.0ms

sample2.6s

Algorithm

intervals

Results

892.0ms	10964×	body	80	invalid
658.0ms	8000×	body	80	valid

Details

analyze2.0s

sample93.0ms

simplify308.0ms

prune12.0ms

localize25.0ms

rewrite23.0ms

series68.0ms

simplify44.0ms

prune231.0ms

localize29.0ms

rewrite22.0ms

series110.0ms

simplify46.0ms

prune217.0ms

localize25.0ms

rewrite25.0ms

series97.0ms

simplify46.0ms

prune202.0ms

localize24.0ms

rewrite33.0ms

series100.0ms

simplify39.0ms

prune101.0ms

regimes1.9s

bsearch119.0ms

simplify26.0ms

end0.0ms

sample2.6s

Profiling