Details

analyze264.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample70.0ms

Algorithm

intervals

Results

16.0ms	118×	body	320	valid
8.0ms	88×	body	160	valid
4.0ms	20×	body	640	valid
1.0ms	30×	body	80	valid

simplify176.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 51.7b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.3b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
51.6b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3--` `associate-l` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 73

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
11.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
5.0ms	(* 3.0 (* a c))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series53.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* b b) (* 3.0 (* a c)))
25.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
3.0ms	(* 3.0 (* a c))
14.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5461	1199

prune126.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 0.1b

Counts

87 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a (neg c)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
20×	`*-un-lft-identity`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-/l*`
6×	`associate-l` `pow-prod-down` `associate-/r/` `distribute-rgt-neg-out`
5×	`associate-/r*`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `distribute-frac-neg` `flip-+`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 114

Calls

4 calls:

14.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
14.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
42.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a (neg c)))

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune165.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	126	5	131

Merged error: 0b

Counts

131 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
0.1b	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.1b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`associate-/r*`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv`

Counts

4 → 74

Calls

4 calls:

6.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
8.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series71.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
45.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))

simplify62.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4925	1187
1	4925	1187

prune118.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c)) a)
0.3b	(* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c))
0.3b	(* 3.0 (* a c))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
21×	`associate-l`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r*` `distribute-lft-out`
2×	`associate-l/` `associate-/r/` `-commutative` `distribute-rgt-neg-out` `div-inv` `unswap-sqr`
1×	`neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `distribute-frac-neg` `clear-num` `flip--` `flip-+` `associate-/l/` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
11.0ms	(/ (* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c)) a)
14.0ms	(* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c))
7.0ms	(* 3.0 (* a c))

series107.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
41.0ms	(/ (* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c)) a)
54.0ms	(* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c))
3.0ms	(* 3.0 (* a c))

simplify31.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5124	1611

prune131.0ms

Filtered

81 candidates to 111 candidates (-37.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	111	5	116

Merged error: 0b

Counts

116 → 5

regimes156.0ms

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	94	15
1	94	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

498.0ms	3669×	body	320	valid
265.0ms	2936×	body	160	valid
86.0ms	479×	body	640	valid
42.0ms	916×	body	80	valid

Details

analyze264.0ms

sample70.0ms

simplify176.0ms

prune10.0ms

localize13.0ms

rewrite29.0ms

series53.0ms

simplify46.0ms

prune126.0ms

localize15.0ms

rewrite42.0ms

series103.0ms

simplify51.0ms

prune165.0ms

localize12.0ms

rewrite24.0ms

series71.0ms

simplify62.0ms

prune118.0ms

localize13.0ms

rewrite40.0ms

series107.0ms

simplify31.0ms

prune131.0ms

regimes156.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

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