Details

analyze665.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	104×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	720	13
1	720	13

prune7.0ms

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: 4.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.6b	(* (* 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×	`add-sqr-sqrt` `associate-r` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `associate--r+`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 36

Calls

2 calls:

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

series32.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
12.0ms	(* (* y 4.0) (- (* z z) t))

simplify27.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5096	520

prune70.0ms

Filtered

30 candidates to 42 candidates (-40.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Merged error: 2.7b

Counts

43 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
0.0b	(* 4.0 (* z z))
0.0b	(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
8.0b	(* y (* 4.0 (* z z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`distribute-rgt-neg-out`
2×	`diff-log` `associate-r` `unsub-neg` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `associate--r-` `difference-of-squares` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

10.0ms	(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
5.0ms	(* 4.0 (* z z))
8.0ms	(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
7.0ms	(* y (* 4.0 (* z z)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
3.0ms	(* 4.0 (* z z))
15.0ms	(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
7.0ms	(* y (* 4.0 (* z z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5147	799

prune88.0ms

Filtered

49 candidates to 80 candidates (-63.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 2.7b

Counts

86 → 5

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)))
4.5b	(sqrt (- (* z z) t))
4.5b	(sqrt (- (* z z) t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

9.0ms	(* y (* 4.0 (sqrt (- (* z z) t))))
17.0ms	(* (* 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))))
13.0ms	(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
6.0ms	(sqrt (- (* z z) t))
6.0ms	(sqrt (- (* z z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5117	1084

prune105.0ms

Filtered

72 candidates to 97 candidates (-34.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 2.7b

Counts

102 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t))))
0.0b	(+ z (sqrt t))
0.1b	(* y (* 4.0 (+ z (sqrt t))))
0.1b	(* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

4.0ms	(- (* x x) (* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t))))
4.0ms	(+ z (sqrt t))
9.0ms	(* y (* 4.0 (+ z (sqrt t))))
13.0ms	(* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* x x) (* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t))))
5.0ms	(+ z (sqrt t))
9.0ms	(* y (* 4.0 (+ z (sqrt t))))
18.0ms	(* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5015	1145

prune90.0ms

Filtered

69 candidates to 95 candidates (-37.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 2.7b

Counts

100 → 7

regimes615.0ms

Accuracy

78.7% (0.8b remaining)

Error of 3.3b against oracle of 2.5b and baseline of 6.1b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	411	40
1	411	40

end0.0ms

sample694.0ms

Algorithm

intervals

Results

296.0ms	8000×	body	80	valid
117.0ms	3045×	body	80	invalid

Details

analyze665.0ms

sample29.0ms

simplify26.0ms

prune7.0ms

localize9.0ms

rewrite13.0ms

series32.0ms

simplify27.0ms

prune70.0ms

localize12.0ms

rewrite32.0ms

series46.0ms

simplify53.0ms

prune88.0ms

localize11.0ms

rewrite37.0ms

series40.0ms

simplify42.0ms

prune105.0ms

localize11.0ms

rewrite33.0ms

series55.0ms

simplify42.0ms

prune90.0ms

regimes615.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample694.0ms

Profiling