Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample118.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune13.0ms

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: 0.0b

Counts

2 → 1

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
5×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `diff-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `associate--l+` `distribute-lft-out--`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
16.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series53.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (/ (* z t) 16.0))
42.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify38.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5521	577

prune57.0ms

Filtered

28 candidates to 35 candidates (-25.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0.0b

Counts

36 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))) (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

21.0ms	(* (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))) (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))))
9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
8.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))) (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))))
58.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
59.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
60.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5014	2931

prune268.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
58.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
57.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
59.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))

simplify69.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	1716
1	4948	1716

prune267.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.6b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
1.9b	(exp (log (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`log-prod` `exp-sum`
5×	`pow1` `exp-prod`
4×	`add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`log-div` `exp-diff` `log-pow`
1×	`rem-exp-log`

Counts

4 → 60

Calls

4 calls:

9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
8.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
11.0ms	(exp (log (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
63.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
58.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
59.0ms	(exp (log (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))))

simplify51.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4998	1740
1	4998	1740

prune210.0ms

Filtered

58 candidates to 72 candidates (-24.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

regimes1.7s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample2.5s

Algorithm

intervals

Results

471.0ms

8000×

body

valid

Details

analyze1.6s

sample118.0ms

simplify53.0ms

prune13.0ms

localize29.0ms

rewrite22.0ms

series53.0ms

simplify38.0ms

prune57.0ms

localize23.0ms

rewrite49.0ms

series283.0ms

simplify59.0ms

prune268.0ms

localize33.0ms

rewrite36.0ms

series233.0ms

simplify69.0ms

prune267.0ms

localize28.0ms

rewrite38.0ms

series242.0ms

simplify51.0ms

prune210.0ms

regimes1.7s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling