Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4772	8
1	4772	8

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`cosh-undef` `associate-/r*` `distribute-lft-out`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 50

Calls

2 calls:

4.0ms	(+ (exp x) (exp (neg x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp x) (exp (neg x)))
9.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify77.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5322	597

prune65.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ 2.0 (+ (exp x) (exp (neg x)))))
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b	(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity`
131×	`sqrt-prod`
124×	`times-frac`
108×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
32×	`swap-sqr`
29×	`distribute-lft-out`
24×	`associate-r` `associate-l`
23×	`cosh-undef`
20×	`pow1`
14×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`associate-/l*`
5×	`sqrt-div` `pow-prod-up`
4×	`add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 224

Calls

4 calls:

6.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (neg x)))))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
24.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (neg x)))))
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
11.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
12.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))

simplify64.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5321	3133

prune271.0ms

Filtered

151 candidates to 236 candidates (-56.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	236	3	239

Merged error: 0b

Counts

239 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
0.0b	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
75×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`cbrt-prod`
42×	`unpow-prod-down` `cube-prod`
17×	`cosh-undef` `distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `associate-/r*` `div-inv`
3×	`pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 170

Calls

4 calls:

4.0ms	(+ (exp x) (exp (neg x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
8.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
9.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp x) (exp (neg x)))
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
16.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
8.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5855	2344

prune152.0ms

Filtered

93 candidates to 182 candidates (-95.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	182	3	185

Merged error: 0b

Counts

185 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp x) (exp (neg x))))
0.0b	(+ (exp x) (exp (neg x)))
0.0b	(+ (exp x) (exp (neg x)))
0.4b	(/ 2.0 (sqrt (+ (exp x) (exp (neg x)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
25×	`sqrt-prod`
24×	`times-frac`
23×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
8×	`associate-/r*` `add-log-exp`
7×	`cosh-undef` `distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`flip3-+` `sqrt-div` `flip-+`
3×	`associate-/l*`
2×	`+-commutative` `sum-log` `associate-/r/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `div-inv`

Counts

4 → 92

Calls

4 calls:

4.0ms	(sqrt (+ (exp x) (exp (neg x))))
4.0ms	(+ (exp x) (exp (neg x)))
4.0ms	(+ (exp x) (exp (neg x)))
7.0ms	(/ 2.0 (sqrt (+ (exp x) (exp (neg x)))))

series25.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (exp x) (exp (neg x))))
3.0ms	(+ (exp x) (exp (neg x)))
3.0ms	(+ (exp x) (exp (neg x)))
12.0ms	(/ 2.0 (sqrt (+ (exp x) (exp (neg x)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4896	1183
1	4896	1183

prune94.0ms

Filtered

72 candidates to 104 candidates (-44.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms

sample312.0ms

Algorithm

intervals

Results

225.0ms

8000×

body

valid

Details

analyze2.0ms

sample12.0ms

simplify64.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series13.0ms

simplify77.0ms

prune65.0ms

localize10.0ms

rewrite51.0ms

series46.0ms

simplify64.0ms

prune271.0ms

localize9.0ms

rewrite33.0ms

series36.0ms

simplify61.0ms

prune152.0ms

localize8.0ms

rewrite22.0ms

series25.0ms

simplify61.0ms

prune94.0ms

regimes90.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample312.0ms

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