Details

analyze268.0ms

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

sample52.0ms

Algorithm

intervals

Results

17.0ms	120×	body	320	valid
9.0ms	98×	body	160	valid
8.0ms	285×	pre	80	true
2.0ms	11×	body	640	valid
1.0ms	29×	body	80	nan
1.0ms	27×	body	80	valid

simplify178.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

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: 52.8b

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))
27.1b	(- (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)))
10.0ms	(/ (- (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)

series54.0ms

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))
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

prune127.0ms

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: 0.1b

Counts

86 → 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 c))
0.3b	(* 3.0 (* a (neg c)))
0.4b	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

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:

11.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
16.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series102.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune166.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	124	7	131

Merged error: 0b

Counts

131 → 7

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))

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:

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))

series71.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4925	1187
1	4925	1187

prune126.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ b (sqrt (- (* b b) (exp (log (* 3.0 (* a c)))))))
0.1b	(- (* b b) (exp (log (* 3.0 (* a c)))))
0.3b	(* 3.0 (* a c))
2.9b	(exp (log (* 3.0 (* a c))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `exp-prod` `pow-prod-down`
3×	`associate-l` `prod-exp` `log-pow` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `log-prod` `flip3--` `flip3-+` `diff-log` `associate-r` `exp-sum` `sum-log` `*-commutative` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out` `difference-of-squares`

Counts

4 → 57

Calls

4 calls:

10.0ms	(+ b (sqrt (- (* b b) (exp (log (* 3.0 (* a c)))))))
8.0ms	(- (* b b) (exp (log (* 3.0 (* a c)))))
5.0ms	(* 3.0 (* a c))
5.0ms	(exp (log (* 3.0 (* a c))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ b (sqrt (- (* b b) (exp (log (* 3.0 (* a c)))))))
8.0ms	(- (* b b) (exp (log (* 3.0 (* a c)))))
3.0ms	(* 3.0 (* a c))
4.0ms	(exp (log (* 3.0 (* a c))))

simplify29.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5640	628

prune273.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0b

Counts

75 → 6

regimes169.0ms

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	58	17
1	58	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

501.0ms	3524×	body	320	valid
294.0ms	3082×	body	160	valid
249.0ms	8832×	pre	80	true
94.0ms	481×	body	640	valid
48.0ms	913×	body	80	valid
41.0ms	832×	body	80	nan

Details

analyze268.0ms

sample52.0ms

simplify178.0ms

prune8.0ms

localize11.0ms

rewrite28.0ms

series54.0ms

simplify48.0ms

prune127.0ms

localize15.0ms

rewrite40.0ms

series102.0ms

simplify51.0ms

prune166.0ms

localize11.0ms

rewrite24.0ms

series71.0ms

simplify63.0ms

prune126.0ms

localize18.0ms

rewrite29.0ms

series30.0ms

simplify29.0ms

prune273.0ms

regimes169.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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