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
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

sample28.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	9×	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: 14.6b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
3.6b	(* y (/ b t))
5.9b	(* y (/ z t))
14.3b	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
26×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`
2×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 110

Calls

4 calls:

3.0ms	(+ x (* y (/ z t)))
7.0ms	(* y (/ b t))
6.0ms	(* y (/ z t))
8.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (* y (/ z t)))
8.0ms	(* y (/ b t))
5.0ms	(* y (/ z t))
38.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5463	1470

prune192.0ms

Filtered

86 candidates to 122 candidates (-41.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	112	10	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	113	11	124

Merged error: 14.0b

Counts

124 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
3.1b	(* (* y z) (/ 1 t))
3.6b	(* y (/ b t))
14.3b	(/ (+ x (* (* y z) (/ 1 t))) (+ a (+ 1.0 (* y (/ b t)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
33×	`add-exp-log` `add-sqr-sqrt`
31×	`times-frac`
28×	`add-cube-cbrt`
26×	`associate-r`
23×	`add-cbrt-cube`
14×	`prod-exp`
11×	`pow1`
8×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
4×	`cbrt-undiv` `associate-l` `pow-prod-down` `associate-/r*` `distribute-lft-out`
3×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
2×	`rec-exp` `1-exp` `associate-r/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `un-div-inv`

Counts

4 → 116

Calls

4 calls:

4.0ms	(+ x (* (* y z) (/ 1 t)))
8.0ms	(* (* y z) (/ 1 t))
6.0ms	(* y (/ b t))
11.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ a (+ 1.0 (* y (/ b t)))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (* (* y z) (/ 1 t)))
5.0ms	(* (* y z) (/ 1 t))
5.0ms	(* y (/ b t))
37.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ a (+ 1.0 (* y (/ b t)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5023	1496

prune163.0ms

Filtered

80 candidates to 128 candidates (-60.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	127	12	139

Merged error: 14.0b

Counts

139 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
3.6b	(* y (/ b t))
5.9b	(* y (/ z t))
14.2b	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
46×	`times-frac`
44×	`associate-r`
38×	`add-cube-cbrt`
27×	`add-exp-log`
21×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
8×	`prod-exp`
7×	`distribute-lft-out` `unswap-sqr`
6×	`div-exp` `cbrt-unprod`
4×	`cbrt-undiv` `flip3-+` `associate-/r*` `associate-/r/` `flip-+` `div-inv` `add-log-exp`
3×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 146

Calls

4 calls:

7.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
7.0ms	(* y (/ b t))
6.0ms	(* y (/ z t))
13.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
5.0ms	(* y (/ b t))
5.0ms	(* y (/ z t))
39.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

simplify31.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5063	1908

prune183.0ms

Filtered

98 candidates to 158 candidates (-61.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	158	12	170

Merged error: 14.0b

Counts

170 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

9.4b	(/ (+ x (* y (/ z t))) (* (cbrt (+ a (+ 1.0 (* y (/ b t))))) (cbrt (+ a (+ 1.0 (* y (/ b t)))))))
12.0b	(cbrt (+ a (+ 1.0 (* y (/ b t)))))
12.0b	(cbrt (+ a (+ 1.0 (* y (/ b t)))))
12.0b	(cbrt (+ a (+ 1.0 (* y (/ b t)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`flip3-+` `flip-+`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 73

Calls

4 calls:

16.0ms	(/ (+ x (* y (/ z t))) (* (cbrt (+ a (+ 1.0 (* y (/ b t))))) (cbrt (+ a (+ 1.0 (* y (/ b t)))))))
4.0ms	(cbrt (+ a (+ 1.0 (* y (/ b t)))))
5.0ms	(cbrt (+ a (+ 1.0 (* y (/ b t)))))
6.0ms	(cbrt (+ a (+ 1.0 (* y (/ b t)))))

series672.0ms

Counts

4 → 12

Calls

4 calls:

554.0ms	(/ (+ x (* y (/ z t))) (* (cbrt (+ a (+ 1.0 (* y (/ b t))))) (cbrt (+ a (+ 1.0 (* y (/ b t)))))))
38.0ms	(cbrt (+ a (+ 1.0 (* y (/ b t)))))
41.0ms	(cbrt (+ a (+ 1.0 (* y (/ b t)))))
39.0ms	(cbrt (+ a (+ 1.0 (* y (/ b t)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4901	1898
1	4901	1898

prune173.0ms

Filtered

69 candidates to 85 candidates (-23.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	84	13	97

Merged error: 13.6b

Counts

97 → 13

regimes1.1s

Accuracy

67.3% (1.8b remaining)

Error of 13.3b against oracle of 11.5b and baseline of 17.0b

bsearch29.0ms

Steps

Iters	Range		Point
7	4.2105179158320636e-26	1.67310360186108e-24	1.6463407347992611e-24
4	-4.904095262112227e-92	-3.0125535841592433e-92	-4.843246152437076e-92

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	69
1	54	69

end0.0ms

sample921.0ms

Algorithm

intervals

Results

635.0ms	8000×	body	80	valid
14.0ms	268×	body	80	invalid

Details

analyze1.3s

sample28.0ms

simplify3.0ms

prune14.0ms

localize17.0ms

rewrite28.0ms

series59.0ms

simplify41.0ms

prune192.0ms

localize13.0ms

rewrite32.0ms

series55.0ms

simplify53.0ms

prune163.0ms

localize13.0ms

rewrite38.0ms

series63.0ms

simplify31.0ms

prune183.0ms

localize16.0ms

rewrite34.0ms

series672.0ms

simplify58.0ms

prune173.0ms

regimes1.1s

bsearch29.0ms

simplify2.0ms

end0.0ms

sample921.0ms

Profiling