Details

analyze1.2s

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
1.0ms	10×	body	80	invalid

simplify6.0ms

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: 10.4b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.4b	(* y (/ b t))
4.7b	(* y (/ z t))
10.1b	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

rewrite26.0ms

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:

2.0ms	(+ x (* y (/ z t)))
6.0ms	(* y (/ b t))
6.0ms	(* y (/ z t))
8.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ x (* y (/ z t)))
5.0ms	(* y (/ b t))
5.0ms	(* y (/ z t))
40.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4987	1470
1	4987	1470

prune171.0ms

Filtered

86 candidates to 122 candidates (-41.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	114	10	124

Merged error: 10.1b

Counts

124 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
4.4b	(* y (/ b t))
4.7b	(* y (/ z t))
9.7b	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

rewrite37.0ms

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:

6.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
8.0ms	(* y (/ b t))
6.0ms	(* y (/ z t))
12.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

series62.0ms

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))
38.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

simplify75.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5060	1908

prune191.0ms

Filtered

97 candidates to 158 candidates (-62.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	156	12	168

Merged error: 10.1b

Counts

168 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
4.4b	(* y (/ b t))
5.2b	(/ (* y z) t)
9.7b	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

6.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
6.0ms	(* y (/ b t))
4.0ms	(/ (* y z) t)
14.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

series64.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4976	1844
1	4976	1844

prune183.0ms

Filtered

93 candidates to 148 candidates (-59.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	2	8	10
Picked	0	1	1
Done	1	0	1
Total	149	11	160

Merged error: 10.1b

Counts

160 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
4.2b	(/ y (/ t z))
4.4b	(* y (/ b t))
9.7b	(* (+ x (/ y (/ t z))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
89×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
31×	`associate-r`
27×	`add-exp-log`
21×	`add-cbrt-cube`
17×	`associate-/r*`
9×	`pow1`
8×	`div-exp` `div-inv` `distribute-lft-out`
7×	`associate-l`
6×	`cbrt-undiv` `prod-exp` `associate-/l*`
5×	`associate-/r/` `unswap-sqr`
4×	`flip3-+` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`
1×	`pow-flip` `un-div-inv` `inv-pow`

Counts

4 → 185

Calls

4 calls:

6.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
5.0ms	(/ y (/ t z))
6.0ms	(* y (/ b t))
23.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
5.0ms	(/ y (/ t z))
5.0ms	(* y (/ b t))
63.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

simplify62.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5031	2462

prune193.0ms

Filtered

139 candidates to 197 candidates (-41.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	196	12	208

Merged error: 10.0b

Counts

208 → 12

regimes1.0s

Accuracy

43.4% (2.7b remaining)

Error of 14.2b against oracle of 11.4b and baseline of 16.2b

bsearch3.3s

Steps

Iters	Range		Point
9	6.694801642744145e-48	1.6728526537845255e-41	1.649048289790591e-41
6	-9.013513620797691e-230	-8.872647435326475e-231	-8.796357687792906e-230

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	72
1	57	72

end0.0ms

analyze1.2s

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

sample704.0ms

Algorithm

intervals

Results

423.0ms	8000×	body	80	valid
14.0ms	271×	body	80	invalid

Details

analyze1.2s

sample28.0ms

simplify6.0ms

prune14.0ms

localize13.0ms

rewrite26.0ms

series58.0ms

simplify48.0ms

prune171.0ms

localize14.0ms

rewrite37.0ms

series62.0ms

simplify75.0ms

prune191.0ms

localize14.0ms

rewrite35.0ms

series64.0ms

simplify54.0ms

prune183.0ms

localize17.0ms

rewrite48.0ms

series87.0ms

simplify62.0ms

prune193.0ms

regimes1.0s

bsearch3.3s

simplify1.0ms

end0.0ms

analyze1.2s

sample704.0ms

Profiling