Details

analyze267.0ms

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

sample39.0ms

Algorithm

intervals

Results

15.0ms	152×	body	160	valid
8.0ms	274×	pre	80	true
5.0ms	104×	body	80	valid
1.0ms	18×	body	80	nan

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune10.0ms

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: 29.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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))
29.1b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite28.0ms

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))
10.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series57.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
28.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
16.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5461	1199

prune131.0ms

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	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.5b

Counts

86 → 5

localize15.0ms

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)))))) (* 3.0 a))
0.4b	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))

rewrite40.0ms

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))
7.0ms	(* 3.0 (* a (neg c)))
13.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
11.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
4.0ms	(* 3.0 (* a (neg c)))
46.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
54.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune197.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Merged error: 0b

Counts

131 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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))
5.0ms	(* 3.0 (* a c))

series112.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* b b) (* 3.0 (* a c)))
42.0ms	(/ (* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c)) a)
56.0ms	(* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c))
4.0ms	(* 3.0 (* a c))

simplify33.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5124	1611

prune172.0ms

Filtered

81 candidates to 111 candidates (-37.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
47.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(* 3.0 (* a c))

simplify63.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4925	1187
1	4925	1187

prune112.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0b

Counts

94 → 8

regimes209.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	15
1	63	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

460.0ms	4528×	body	160	valid
254.0ms	8967×	pre	80	true
186.0ms	3472×	body	80	valid
50.0ms	967×	body	80	nan

Details

analyze267.0ms

sample39.0ms

simplify183.0ms

prune10.0ms

localize11.0ms

rewrite28.0ms

series57.0ms

simplify47.0ms

prune131.0ms

localize15.0ms

rewrite40.0ms

series107.0ms

simplify53.0ms

prune197.0ms

localize13.0ms

rewrite37.0ms

series112.0ms

simplify33.0ms

prune172.0ms

localize11.0ms

rewrite23.0ms

series75.0ms

simplify63.0ms

prune112.0ms

regimes209.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

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