Details

analyze269.0ms

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	151×	body	160	valid
9.0ms	283×	pre	80	true
5.0ms	105×	body	80	valid
4.0ms	27×	body	80	nan

simplify167.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	1794	16
1	1794	16

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 29.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.9b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
4.0ms	(- (* b b) (* (* 3.0 a) c))
12.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
9.0ms	(- (* b b) (* (* 3.0 a) c))
26.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify47.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4961	1115
1	4961	1115

prune143.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	6	85

Merged error: 0.4b

Counts

85 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
4.0ms	(- (* b b) (* 3.0 (* a c)))
16.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
13.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 3.0 (* a c))
9.0ms	(- (* b b) (* 3.0 (* a c)))
46.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
56.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5002	2285

prune211.0ms

Filtered

75 candidates to 128 candidates (-70.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
9×	`pow1`
7×	`associate-/r*`
5×	`distribute-rgt-neg-in` `sqrt-prod`
3×	`flip3--` `diff-log` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `associate-/r/`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `frac-2neg` `div-exp` `associate-r` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

10.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
10.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
5.0ms	(* 3.0 (* a c))
4.0ms	(- (* b b) (* 3.0 (* a c)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
16.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(* 3.0 (* a c))
9.0ms	(- (* b b) (* 3.0 (* a c)))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5137	1657

prune178.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	103	9	112

Merged error: 0b

Counts

112 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(- (* b b) (* 3.0 (* a c)))
0.6b	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
0.7b	(pow (- (* b b) (* 3.0 (* a c))) 3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
4.0ms	(- (* b b) (* 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)

series45.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
9.0ms	(- (* b b) (* 3.0 (* a c)))
9.0ms	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
23.0ms	(pow (- (* b b) (* 3.0 (* a c))) 3)

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4969	1085
1	4969	1085

prune116.0ms

Filtered

49 candidates to 89 candidates (-81.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	89	9	98

Merged error: 0b

Counts

98 → 9

regimes228.0ms

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	125	15
1	125	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

450.0ms	4501×	body	160	valid
275.0ms	8936×	pre	80	true
186.0ms	3499×	body	80	valid
45.0ms	936×	body	80	nan

Details

analyze269.0ms

sample44.0ms

simplify167.0ms

prune9.0ms

localize10.0ms

rewrite31.0ms

series55.0ms

simplify47.0ms

prune143.0ms

localize13.0ms

rewrite44.0ms

series114.0ms

simplify63.0ms

prune211.0ms

localize12.0ms

rewrite32.0ms

series78.0ms

simplify52.0ms

prune178.0ms

localize16.0ms

rewrite22.0ms

series45.0ms

simplify41.0ms

prune116.0ms

regimes228.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

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