Details

analyze1.4s

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

sample28.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	11×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5060	17

prune5.0ms

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: 22.8b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
0.4b	(+ (* x y) (* z (- t a)))
22.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
6.0ms	(* z (- t a))
9.0ms	(+ (* x y) (* z (- t a)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
7.0ms	(* z (- t a))
14.0ms	(+ (* x y) (* z (- t a)))
97.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify37.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5375	1289

prune157.0ms

Filtered

69 candidates to 93 candidates (-34.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 22.2b

Counts

94 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (+ y (* z (- b y))))
0.4b	(+ (* x y) (* z (- t a)))
22.0b	(* (+ (* 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 (- t a))
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)))))

series134.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
17.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
96.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5992	1663

prune147.0ms

Filtered

80 candidates to 124 candidates (-55.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	124	11	135

Merged error: 22.2b

Counts

135 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.4b	(+ (* x y) (* z (- t a)))
21.9b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite34.0ms

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:

4.0ms	(+ y (* z (- b y)))
10.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
8.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
173.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
14.0ms	(+ (* x y) (* z (- t a)))
94.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify67.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4994	3616
1	4994	3616

prune167.0ms

Filtered

107 candidates to 153 candidates (-43.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	153	11	164

Merged error: 22.2b

Counts

164 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ y (* z (- b y))))
0.4b	(+ (* x y) (* z (- t a)))
1.1b	(/ 1 (+ (* x y) (* z (- t a))))
21.4b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`sub-neg` `associate-+r+` `pow-flip` `inv-pow`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log` `associate-/l/`

Counts

4 → 366

Calls

4 calls:

5.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
17.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
21.0ms	(/ 1 (+ (* x y) (* z (- t a))))
176.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5058	12251

prune302.0ms

Filtered

193 candidates to 378 candidates (-95.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	378	11	389

Merged error: 22.2b

Counts

389 → 11

regimes970.0ms

Accuracy

0% (0.7b remaining)

Error of 23.2b against oracle of 22.5b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms

sample714.0ms

Algorithm

intervals

Results

405.0ms	8000×	body	80	valid
20.0ms	424×	body	80	invalid

Details

analyze1.4s

sample28.0ms

simplify52.0ms

prune5.0ms

localize13.0ms

rewrite29.0ms

series126.0ms

simplify37.0ms

prune157.0ms

localize13.0ms

rewrite32.0ms

series134.0ms

simplify52.0ms

prune147.0ms

localize14.0ms

rewrite34.0ms

series289.0ms

simplify67.0ms

prune167.0ms

localize17.0ms

rewrite52.0ms

series229.0ms

simplify110.0ms

prune302.0ms

regimes970.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample714.0ms

Profiling