Details

sample102.0ms

Algorithm

intervals

Results

21.0ms	163×	body	160	valid
20.0ms	516×	pre	80	true
17.0ms	260×	body	80	nan
12.0ms	41×	body	320	valid
3.0ms	52×	body	80	valid

simplify179.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune7.0ms

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: 45.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
40.9b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite32.0ms

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 → 73

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
14.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms	(* (* 3.0 a) c)
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms	(* (* 3.0 a) c)
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6060	1121

prune119.0ms

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: 0.2b

Counts

86 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
13.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
16.0ms	(/ (/ (* 3.0 (* a c)) (- (neg 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 c))
54.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
45.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify55.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	2216

prune171.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	133	7	140

Merged error: 0b

Counts

140 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
0.3b	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))
0.3b	(* 3.0 (* a c))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log`
50×	`add-cbrt-cube`
39×	`prod-exp`
38×	`div-exp`
31×	`times-frac`
24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`cbrt-unprod`
15×	`cbrt-undiv`
14×	`pow1` `1-exp`
13×	`associate-/l*`
10×	`associate-l`
8×	`associate-*r/`
6×	`pow-prod-down` `add-log-exp`
5×	`flip3--` `associate-/r/` `flip--`
4×	`frac-times` `associate-*l/`
3×	`div-inv`
2×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `distribute-rgt-neg-in` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `sqrt-prod` `associate-/l/`

Counts

4 → 130

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
19.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
14.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))
5.0ms	(* 3.0 (* a c))

series66.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
35.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
18.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))
4.0ms	(* 3.0 (* a c))

simplify70.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4982	2293
1	4982	2293

prune353.0ms

Filtered

81 candidates to 142 candidates (-75.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	142	7	149

Merged error: 0b

Counts

149 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.2b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))
0.3b	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
30×	`associate-l`
23×	`times-frac`
18×	`add-exp-log`
17×	`add-cube-cbrt`
14×	`add-cbrt-cube`
11×	`pow1`
10×	`add-log-exp`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`prod-exp`
5×	`cbrt-unprod`
4×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down` `sqrt-prod`
3×	`flip3--` `diff-log` `flip--` `unswap-sqr`
2×	`sub-neg` `div-exp` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `rec-exp` `1-exp` `neg-log` `associate-*l/` `div-inv`

Counts

4 → 97

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
6.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))
16.0ms	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)

series59.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
32.0ms	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4959	1549
1	4959	1549

prune124.0ms

Filtered

71 candidates to 109 candidates (-53.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	109	7	116

Merged error: 0b

Counts

116 → 7

regimes166.0ms

Accuracy

0% (0.1b 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	78	15
1	78	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

454.0ms	4853×	body	160	valid
437.0ms	16267×	pre	80	true
386.0ms	8267×	body	80	nan
190.0ms	1378×	body	320	valid
88.0ms	1769×	body	80	valid

Details

sample102.0ms

simplify179.0ms

prune7.0ms

localize10.0ms

rewrite32.0ms

series52.0ms

simplify44.0ms

prune119.0ms

localize12.0ms

rewrite44.0ms

series106.0ms

simplify55.0ms

prune171.0ms

localize14.0ms

rewrite48.0ms

series66.0ms

simplify70.0ms

prune353.0ms

localize11.0ms

rewrite38.0ms

series59.0ms

simplify60.0ms

prune124.0ms

regimes166.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

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