Details

sample40.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

19.0ms

517×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 6.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.7b	(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-r` `associate--r+` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))

series35.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
12.0ms	(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281

prune74.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Merged error: 1.8b

Counts

48 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
5.7b	(sqrt (- (* z z) t))
5.7b	(sqrt (- (* z z) t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

10.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
15.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(sqrt (- (* z z) t))

series40.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
12.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.0ms	(sqrt (- (* z z) t))
8.0ms	(sqrt (- (* z z) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	370	767
1	1766	653
2	5002	647

prune116.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	100	9	109

Merged error: 1.7b

Counts

109 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
5.7b	(sqrt (- (* z z) t))
5.7b	(sqrt (- (* z z) t))
5.7b	(sqrt (- (* z z) t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
23×	`sqrt-prod`
17×	`add-sqr-sqrt`
16×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`flip3--` `flip--`
8×	`associate-*r/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`associate-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 84

Calls

4 calls:

18.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(sqrt (- (* z z) t))

series48.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
6.0ms	(sqrt (- (* z z) t))
6.0ms	(sqrt (- (* z z) t))
6.0ms	(sqrt (- (* z z) t))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	396	828
1	1710	770
2	5001	736

prune133.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	96	9	105

Merged error: 1.7b

Counts

105 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
5.7b	(sqrt (- (* z z) t))
6.3b	(cbrt (- (* z z) t))
6.3b	(cbrt (- (* z z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
13×	`cbrt-prod` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
7×	`pow1`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `sqrt-div` `flip--` `add-log-exp` `difference-of-squares`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3` `associate-*r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(cbrt (- (* z z) t))
4.0ms	(cbrt (- (* z z) t))

series70.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
6.0ms	(sqrt (- (* z z) t))
17.0ms	(cbrt (- (* z z) t))
17.0ms	(cbrt (- (* z z) t))

simplify112.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	337	742
1	1142	700
2	4519	675
3	5001	656

prune105.0ms

Filtered

71 candidates to 85 candidates (-19.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	85	9	94

Merged error: 1.7b

Counts

94 → 9

regimes1.1s

Accuracy

79% (0.7b remaining)

Error of 3.3b against oracle of 2.5b and baseline of 5.9b

bsearch68.0ms

Steps

Iters	Range		Point
7	1.3679773735478784e+148	2.41945282334779e+150	2.3720883354069968e+150
7	-5.915105691305876e+170	-9.779677625031863e+168	-9.954483187983006e+168

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

594.0ms

15663×

body

valid

Details

sample40.0ms

simplify74.0ms

prune4.0ms

localize9.0ms

rewrite13.0ms

series35.0ms

simplify40.0ms

prune74.0ms

localize11.0ms

rewrite36.0ms

series40.0ms

simplify52.0ms

prune116.0ms

localize14.0ms

rewrite34.0ms

series48.0ms

simplify53.0ms

prune133.0ms

localize16.0ms

rewrite23.0ms

series70.0ms

simplify112.0ms

prune105.0ms

regimes1.1s

bsearch68.0ms

simplify2.0ms

end0.0ms

sample1.1s

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