Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

sample29.0ms

Algorithm

intervals

Results

8.0ms	133×	body	80	valid
8.0ms	59×	body	640	valid
4.0ms	31×	body	320	valid
3.0ms	18×	body	1280	valid
1.0ms	15×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	880	15
1	880	15

prune4.0ms

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: 9.3b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.4b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-` `associate-+l+`

Counts

4 → 112

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
20.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
31.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
2.0ms	(/ 1.0 (+ x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4954	1594
1	4954	1594

prune188.0ms

Filtered

95 candidates to 124 candidates (-30.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	4	125

Merged error: 0.4b

Counts

125 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0)))
0.0b	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
0.0b	(* x (- (* x x) (* 1.0 1.0)))
18.5b	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-*r/`
20×	`flip3--` `flip--`
16×	`frac-add`
14×	`add-sqr-sqrt`
12×	`frac-times`
10×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r`
6×	`associate-*l/`
4×	`associate-+r+`
2×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `diff-log` `sum-log` `distribute-lft-out--`

Counts

4 → 97

Calls

4 calls:

9.0ms	(* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0)))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
6.0ms	(* x (- (* x x) (* 1.0 1.0)))
12.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0)))
6.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
7.0ms	(* x (- (* x x) (* 1.0 1.0)))
1.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5300	2792

prune234.0ms

Filtered

88 candidates to 109 candidates (-23.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0.4b

Counts

113 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
2.4b	(+ (/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x))) (/ 1.0 (- x 1.0)))
16.7b	(/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`times-frac`
16×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
2×	`frac-2neg` `flip3-+` `div-sub` `associate-*r/` `clear-num` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `distribute-lft-out`

Counts

4 → 88

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
3.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
22.0ms	(+ (/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x))) (/ 1.0 (- x 1.0)))
9.0ms	(/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
11.0ms	(+ (/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x))) (/ 1.0 (- x 1.0)))
4.0ms	(/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x)))

simplify30.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4986	1357
1	4986	1357

prune140.0ms

Filtered

78 candidates to 100 candidates (-28.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	100	4	104

Merged error: 0.4b

Counts

104 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2.0 (pow x 7)) (+ (/ 2.0 (pow x 5)) (/ 2.0 (pow x 3))))
0.1b	(/ 2.0 (pow x 5))
0.1b	(/ 2.0 (pow x 7))
0.4b	(/ 2.0 (pow x 3))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
78×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
26×	`associate-/r*`
19×	`add-exp-log`
12×	`cube-prod` `sqr-pow`
11×	`distribute-lft-out`
10×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*` `add-log-exp`
6×	`div-inv`
4×	`pow1` `cube-mult` `unpow3` `frac-add`
3×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+r+`

Counts

4 → 177

Calls

4 calls:

59.0ms	(+ (/ 2.0 (pow x 7)) (+ (/ 2.0 (pow x 5)) (/ 2.0 (pow x 3))))
4.0ms	(/ 2.0 (pow x 5))
4.0ms	(/ 2.0 (pow x 7))
5.0ms	(/ 2.0 (pow x 3))

series19.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (/ 2.0 (pow x 7)) (+ (/ 2.0 (pow x 5)) (/ 2.0 (pow x 3))))
4.0ms	(/ 2.0 (pow x 5))
5.0ms	(/ 2.0 (pow x 7))
4.0ms	(/ 2.0 (pow x 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5250	2070

prune327.0ms

Filtered

124 candidates to 189 candidates (-52.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	185	4	189
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	186	7	193

Merged error: 0.0b

Counts

193 → 7

regimes107.0ms

Accuracy

97% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 10.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	114	103
1	114	103

end0.0ms

sample734.0ms

Algorithm

intervals

Results

265.0ms	1899×	body	640	valid
147.0ms	4116×	body	80	valid
99.0ms	573×	body	1280	valid
97.0ms	942×	body	320	valid
33.0ms	470×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze6.0ms

sample29.0ms

simplify56.0ms

prune4.0ms

localize9.0ms

rewrite65.0ms

series17.0ms

simplify45.0ms

prune188.0ms

localize15.0ms

rewrite34.0ms

series17.0ms

simplify42.0ms

prune234.0ms

localize10.0ms

rewrite41.0ms

series21.0ms

simplify30.0ms

prune140.0ms

localize12.0ms

rewrite79.0ms

series19.0ms

simplify38.0ms

prune327.0ms

regimes107.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample734.0ms

Profiling