Details

analyze266.0ms

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

sample44.0ms

Algorithm

intervals

Results

15.0ms	161×	body	160	valid
8.0ms	290×	pre	80	true
6.0ms	43×	body	320	valid
2.0ms	52×	body	80	valid
2.0ms	34×	body	80	nan

simplify176.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 45.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))
0.3b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
39.2b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite31.0ms

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)))
5.0ms	(* 3.0 (* a c))
13.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series53.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
26.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5461	1199

prune115.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0.2b

Counts

86 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a (neg c)))
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))

rewrite39.0ms

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:

5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
11.0ms	(/ (* 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))

series106.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a (neg c)))
53.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
46.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune170.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

7.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
6.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series73.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
16.0ms	(+ 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

prune135.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	86	8	94

Merged error: 0b

Counts

94 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a (* c (+ (* 3.0 (* a c)) (* b b)))))
0.4b	(/ (- (pow b 6) (pow (* 3.0 (* a c)) 3)) (+ (pow b 4) (* 3.0 (* a (* c (+ (* 3.0 (* a c)) (* b b)))))))
0.6b	(pow (* 3.0 (* a c)) 3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `times-frac`
26×	`add-exp-log` `add-cbrt-cube`
24×	`pow1` `difference-of-squares`
22×	`add-cube-cbrt`
21×	`sqr-pow`
12×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-/l*`
9×	`unpow-prod-down`
6×	`associate-r/` `associate-l*`
4×	`distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow-exp` `associate-/r*` `rem-cube-cbrt`
2×	`flip3-+` `associate-r` `associate-/r/` `*-commutative` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `frac-2neg` `unpow3` `div-sub` `cube-prod` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 134

Calls

4 calls:

8.0ms	(* 3.0 (* a c))
13.0ms	(* 3.0 (* a (* c (+ (* 3.0 (* a c)) (* b b)))))
14.0ms	(/ (- (pow b 6) (pow (* 3.0 (* a c)) 3)) (+ (pow b 4) (* 3.0 (* a (* c (+ (* 3.0 (* a c)) (* b b)))))))
6.0ms	(pow (* 3.0 (* a c)) 3)

series61.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
17.0ms	(* 3.0 (* a (* c (+ (* 3.0 (* a c)) (* b b)))))
32.0ms	(/ (- (pow b 6) (pow (* 3.0 (* a c)) 3)) (+ (pow b 4) (* 3.0 (* a (* c (+ (* 3.0 (* a c)) (* b b)))))))
8.0ms	(pow (* 3.0 (* a c)) 3)

simplify55.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5499	3803

prune315.0ms

Filtered

90 candidates to 146 candidates (-62.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	146	8	154

Merged error: 0b

Counts

154 → 8

regimes195.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	37
1	73	37

end0.0ms

sample1.2s

Algorithm

intervals

Results

464.0ms	4887×	body	160	valid
254.0ms	8899×	pre	80	true
187.0ms	1341×	body	320	valid
86.0ms	1772×	body	80	valid
42.0ms	899×	body	80	nan

Details

analyze266.0ms

sample44.0ms

simplify176.0ms

prune8.0ms

localize10.0ms

rewrite31.0ms

series53.0ms

simplify48.0ms

prune115.0ms

localize16.0ms

rewrite39.0ms

series106.0ms

simplify52.0ms

prune170.0ms

localize11.0ms

rewrite25.0ms

series73.0ms

simplify62.0ms

prune135.0ms

localize24.0ms

rewrite46.0ms

series61.0ms

simplify55.0ms

prune315.0ms

regimes195.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling