Details

analyze275.0ms

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

sample45.0ms

Algorithm

intervals

Results

15.0ms	150×	body	160	valid
8.0ms	284×	pre	80	true
6.0ms	42×	body	320	valid
3.0ms	64×	body	80	valid
1.0ms	28×	body	80	nan

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

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: 42.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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))
38.0b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite30.0ms

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

series56.0ms

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))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5461	1199

prune128.0ms

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: 0.3b

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))))))
0.4b	(/ (/ (* 3.0 (* a (neg c))) (+ 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`
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))
5.0ms	(* 3.0 (* a (neg c)))
15.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
15.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series109.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a (neg c)))
58.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
44.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify58.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune192.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	117	9	126
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	121	10	131

Merged error: 0b

Counts

131 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) (neg c))
0.3b	(* 3.0 (* a c))
0.3b	(/ (* (* 3.0 a) (neg c)) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.4b	(/ (/ (* (* 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×	`*-un-lft-identity` `times-frac`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-r` `associate-/l*`
6×	`pow-prod-down` `associate-/r/`
5×	`associate-/r*`
4×	`associate-l` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `distribute-frac-neg` `distribute-rgt-neg-out` `flip-+`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`neg-mul-1` `associate-/l/`

Counts

4 → 121

Calls

4 calls:

6.0ms	(* (* 3.0 a) (neg c))
5.0ms	(* 3.0 (* a c))
12.0ms	(/ (* (* 3.0 a) (neg c)) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
14.0ms	(/ (/ (* (* 3.0 a) (neg c)) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series114.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* 3.0 a) (neg c))
4.0ms	(* 3.0 (* a c))
59.0ms	(/ (* (* 3.0 a) (neg c)) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
47.0ms	(/ (/ (* (* 3.0 a) (neg c)) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify66.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4988	1987
1	4988	1987

prune190.0ms

Filtered

80 candidates to 133 candidates (-66.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	133	10	143

Merged error: 0b

Counts

143 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
21×	`associate-r`
20×	`*-un-lft-identity` `times-frac`
18×	`add-cube-cbrt`
13×	`pow1`
10×	`associate-/l*`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-l` `prod-exp` `cbrt-unprod`
7×	`associate-*r/`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp`
3×	`neg-mul-1` `flip3-+` `*-commutative` `flip-+`
2×	`distribute-frac-neg` `div-inv` `unswap-sqr`
1×	`neg-sub0` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-sub` `clear-num` `associate-/r*` `distribute-rgt-neg-out` `distribute-lft-out`

Counts

4 → 117

Calls

4 calls:

9.0ms	(* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
14.0ms	(* a (/ (neg c) (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))
13.0ms	(/ (neg c) (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
5.0ms	(* 3.0 (* a c))

series132.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
42.0ms	(* a (/ (neg c) (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))
60.0ms	(/ (neg c) (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
4.0ms	(* 3.0 (* a c))

simplify71.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4953	1723
1	4953	1723

prune155.0ms

Filtered

90 candidates to 129 candidates (-43.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	131	8	139

Merged error: 0b

Counts

139 → 8

regimes196.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	23
1	95	23

end0.0ms

sample1.3s

Algorithm

intervals

Results

471.0ms	4845×	body	160	valid
262.0ms	8951×	pre	80	true
195.0ms	1376×	body	320	valid
97.0ms	1779×	body	80	valid
47.0ms	951×	body	80	nan

Details

analyze275.0ms

sample45.0ms

simplify199.0ms

prune10.0ms

localize11.0ms

rewrite30.0ms

series56.0ms

simplify53.0ms

prune128.0ms

localize15.0ms

rewrite44.0ms

series109.0ms

simplify58.0ms

prune192.0ms

localize14.0ms

rewrite42.0ms

series114.0ms

simplify66.0ms

prune190.0ms

localize14.0ms

rewrite45.0ms

series132.0ms

simplify71.0ms

prune155.0ms

regimes196.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling