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

sample39.0ms

Algorithm

intervals

Results

14.0ms	144×	body	160	valid
8.0ms	282×	pre	80	true
6.0ms	112×	body	80	valid
1.0ms	26×	body	80	nan

simplify179.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 28.3b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* 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))
28.1b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite31.0ms

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
25.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
14.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5461	1199

prune139.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	79	8	87

Merged error: 0.4b

Counts

87 → 8

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)))
0.3b	(/ (/ (* 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))))))
6.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
13.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series103.0ms

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))
4.0ms	(* 3.0 (* a (neg c)))
42.0ms	(/ (/ (* 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 (38.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune186.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	116	10	126
Fresh	7	0	7
Picked	1	0	1
Done	0	0	0
Total	124	10	134

Merged error: 0.0b

Counts

134 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

16.0ms	(/ (/ 3.0 1) (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c)))))
13.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series61.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (/ 3.0 1) (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c)))))
18.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))

simplify65.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4984	2141
1	4984	2141

prune182.0ms

Filtered

79 candidates to 138 candidates (-74.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	138	10	148

Merged error: 0.0b

Counts

148 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
14.0ms	(/ 1 (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c))))
5.0ms	(* 3.0 (* a c))
16.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
31.0ms	(/ 1 (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c))))
3.0ms	(* 3.0 (* a c))
17.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c)))

simplify53.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4995	2137
1	4995	2137

prune155.0ms

Filtered

89 candidates to 147 candidates (-65.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	146	11	157

Merged error: 0.0b

Counts

157 → 11

regimes232.0ms

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	64	19
1	64	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

451.0ms	4494×	body	160	valid
264.0ms	8960×	pre	80	true
184.0ms	3506×	body	80	valid
47.0ms	960×	body	80	nan

Details

analyze269.0ms

sample39.0ms

simplify179.0ms

prune11.0ms

localize11.0ms

rewrite31.0ms

series51.0ms

simplify46.0ms

prune139.0ms

localize15.0ms

rewrite40.0ms

series103.0ms

simplify51.0ms

prune186.0ms

localize15.0ms

rewrite44.0ms

series61.0ms

simplify65.0ms

prune182.0ms

localize13.0ms

rewrite44.0ms

series60.0ms

simplify53.0ms

prune155.0ms

regimes232.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling