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
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

prune14.0ms

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: 12.2b

Counts

2 → 2

localize16.0ms

Local error

Found 3 expressions with local error:

4.8b	(/ (* y z) t)
5.5b	(/ (* y b) t)
12.0b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

4.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)
13.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
40.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4974	1443
1	4974	1443

prune160.0ms

Filtered

65 candidates to 98 candidates (-50.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	12	100

Merged error: 10.5b

Counts

100 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

4.9b	(* (* y z) (/ 1 t))
5.5b	(/ (* y b) t)
12.0b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
32×	`add-exp-log`
27×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
13×	`associate-r` `prod-exp`
12×	`distribute-lft-out`
8×	`pow1` `associate-/r*`
7×	`div-exp` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`associate-/r/` `associate-/l*`
3×	`flip3-+` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `frac-add` `clear-num` `associate-/l/`
1×	`associate-r/` `associate-l` `un-div-inv` `-commutative`

Counts

3 → 100

Calls

3 calls:

7.0ms	(* (* y z) (/ 1 t))
4.0ms	(/ (* y b) t)
11.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (* y z) (/ 1 t))
7.0ms	(/ (* y b) t)
40.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5022	1408

prune141.0ms

Filtered

67 candidates to 109 candidates (-62.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Merged error: 10.5b

Counts

121 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ t (* y z)))
4.8b	(/ t (* y z))
5.5b	(/ (* y b) t)
12.0b	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
64×	`times-frac`
37×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`distribute-lft-out`
25×	`add-cbrt-cube`
17×	`div-exp`
16×	`associate-/r*`
14×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

6.0ms	(/ 1 (/ t (* y z)))
4.0ms	(/ t (* y z))
4.0ms	(/ (* y b) t)
19.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ 1 (/ t (* y z)))
5.0ms	(/ t (* y z))
5.0ms	(/ (* y b) t)
44.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5011	2073

prune167.0ms

Filtered

92 candidates to 163 candidates (-77.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	163	12	175

Merged error: 10.5b

Counts

175 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

3.1b	(* (/ y t) b)
4.9b	(* (/ z t) (neg y))
12.0b	(/ (- (* (/ z t) (neg y)) x) (- (neg 1.0) (+ a (* (/ y t) b))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
38×	`times-frac`
32×	`add-cube-cbrt`
26×	`associate-l`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
8×	`distribute-lft-out--`
7×	`pow1` `distribute-rgt-neg-in`
6×	`associate-/r*`
4×	`prod-exp` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
3×	`cbrt-undiv` `distribute-lft-neg-in` `div-exp` `div-inv` `associate-/l*` `add-log-exp`
2×	`flip3--` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip--` `associate-/l/`
1×	`neg-mul-1` `frac-2neg` `div-sub` `clear-num` `distribute-rgt-neg-out`

Counts

3 → 116

Calls

3 calls:

6.0ms	(* (/ y t) b)
8.0ms	(* (/ z t) (neg y))
13.0ms	(/ (- (* (/ z t) (neg y)) x) (- (neg 1.0) (+ a (* (/ y t) b))))

series75.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (/ y t) b)
6.0ms	(* (/ z t) (neg y))
64.0ms	(/ (- (* (/ z t) (neg y)) x) (- (neg 1.0) (+ a (* (/ y t) b))))

simplify51.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4982	1759
1	4982	1759

prune121.0ms

Filtered

87 candidates to 125 candidates (-43.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	125	12	137

Merged error: 8.6b

Counts

137 → 12

regimes944.0ms

Accuracy

41.3% (3.7b remaining)

Error of 12.9b against oracle of 9.2b and baseline of 15.5b

bsearch40.0ms

Steps

Iters	Range		Point
10	6.450189470722423e+129	5.451148459242137e+139	6.718097648012475e+129
5	-1.318131508460967e-54	-4.1954626957746506e-55	-7.31500488744656e-55

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	162	58
1	162	58

end0.0ms

sample704.0ms

Algorithm

intervals

Results

419.0ms	8000×	body	80	valid
14.0ms	277×	body	80	invalid

Details

analyze1.4s

sample27.0ms

simplify3.0ms

prune14.0ms

localize16.0ms

rewrite23.0ms

series50.0ms

simplify51.0ms

prune160.0ms

localize13.0ms

rewrite26.0ms

series51.0ms

simplify39.0ms

prune141.0ms

localize13.0ms

rewrite38.0ms

series63.0ms

simplify45.0ms

prune167.0ms

localize13.0ms

rewrite30.0ms

series75.0ms

simplify51.0ms

prune121.0ms

regimes944.0ms

bsearch40.0ms

simplify3.0ms

end0.0ms

sample704.0ms

Profiling