Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

sample32.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5060	17

prune4.0ms

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: 19.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
19.1b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(* z (- t a))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
7.0ms	(* z (- b y))
15.0ms	(+ (* x y) (* z (- t a)))
89.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify37.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5221	1306

prune168.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	12	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	12	105

Merged error: 19.2b

Counts

105 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.7b	(+ (* x y) (* z (- t a)))
1.4b	(+ (* z b) (* y (neg z)))
19.1b	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* y (neg z)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`associate-r`
4×	`sub-neg` `flip3-+` `associate-/r*` `flip-+` `distribute-lft-out`
3×	`associate-l` `associate-/l*`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `unsub-neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* z (- t a))
4.0ms	(+ (* x y) (* z (- t a)))
4.0ms	(+ (* z b) (* y (neg z)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* y (neg z)))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(+ (* z b) (* y (neg z)))
90.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* y (neg z)))))

simplify27.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5109	1350

prune124.0ms

Filtered

62 candidates to 96 candidates (-54.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	96	12	108

Merged error: 19.2b

Counts

108 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
0.7b	(+ (* x y) (* z (- t a)))
18.9b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`sub-neg` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `associate-+r+` `distribute-lft-in` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* z (- b y))
5.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
12.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
17.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
91.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune148.0ms

Filtered

80 candidates to 124 candidates (-55.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	124	12	136

Merged error: 19.2b

Counts

136 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.7b	(+ (* x y) (* z (- t a)))
19.1b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `sub-neg` `associate-+r+`
2×	`+-commutative` `distribute-rgt-in` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 141

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
9.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
164.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
14.0ms	(+ (* x y) (* z (- t a)))
68.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify72.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4994	3616
1	4994	3616

prune128.0ms

Filtered

107 candidates to 153 candidates (-43.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	153	12	165

Merged error: 19.2b

Counts

165 → 12

regimes949.0ms

Accuracy

0% (0.7b remaining)

Error of 22.9b against oracle of 22.2b and baseline of 22.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	19
1	55	19

end0.0ms

sample711.0ms

Algorithm

intervals

Results

419.0ms	8000×	body	80	valid
22.0ms	443×	body	80	invalid

Details

analyze1.3s

sample32.0ms

simplify49.0ms

prune4.0ms

localize12.0ms

rewrite25.0ms

series117.0ms

simplify37.0ms

prune168.0ms

localize13.0ms

rewrite25.0ms

series117.0ms

simplify27.0ms

prune124.0ms

localize13.0ms

rewrite32.0ms

series128.0ms

simplify55.0ms

prune148.0ms

localize13.0ms

rewrite29.0ms

series254.0ms

simplify72.0ms

prune128.0ms

regimes949.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample711.0ms

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