Details

analyze274.0ms

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

sample53.0ms

Algorithm

intervals

Results

17.0ms	114×	body	320	valid
12.0ms	103×	body	160	valid
8.0ms	280×	pre	80	true
3.0ms	15×	body	640	valid
1.0ms	24×	body	80	valid
1.0ms	24×	body	80	nan

simplify182.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (180.0ms)

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: 52.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
25.6b	(- (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))
8.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series55.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
26.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
3.0ms	(* 3.0 (* a c))
18.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5461	1199

prune119.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.2b

Counts

86 → 4

localize17.0ms

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

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:

12.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
6.0ms	(* 3.0 (* a (neg c)))
15.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series106.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(* 3.0 (* a c))
6.0ms	(* 3.0 (* a (neg c)))
43.0ms	(/ (/ (* 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 (40.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune171.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Merged error: 0b

Counts

130 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

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

series73.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
15.0ms	(+ b (sqrt (- (* 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

prune129.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0b

Counts

93 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ b (sqrt (cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))))
0.3b	(* 3.0 (* a c))
0.5b	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
0.7b	(pow (- (* b b) (* 3.0 (* a c))) 3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `cbrt-div` `flip3--` `unpow3` `flip--` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 78

Calls

4 calls:

10.0ms	(+ b (sqrt (cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))))
6.0ms	(* 3.0 (* a c))
5.0ms	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
5.0ms	(pow (- (* b b) (* 3.0 (* a c))) 3)

series49.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ b (sqrt (cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))))
3.0ms	(* 3.0 (* a c))
9.0ms	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
20.0ms	(pow (- (* b b) (* 3.0 (* a c))) 3)

simplify41.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4961	1133
1	4961	1133

prune103.0ms

Filtered

53 candidates to 90 candidates (-69.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Merged error: 0b

Counts

97 → 7

regimes179.0ms

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

sample1.5s

Algorithm

intervals

Results

538.0ms	3653×	body	320	valid
292.0ms	2885×	body	160	valid
267.0ms	8829×	pre	80	true
98.0ms	487×	body	640	valid
51.0ms	975×	body	80	valid
43.0ms	829×	body	80	nan

Details

analyze274.0ms

sample53.0ms

simplify182.0ms

prune8.0ms

localize11.0ms

rewrite29.0ms

series55.0ms

simplify48.0ms

prune119.0ms

localize17.0ms

rewrite42.0ms

series106.0ms

simplify52.0ms

prune171.0ms

localize12.0ms

rewrite26.0ms

series73.0ms

simplify62.0ms

prune129.0ms

localize15.0ms

rewrite28.0ms

series49.0ms

simplify41.0ms

prune103.0ms

regimes179.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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