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

sample33.0ms

Algorithm

intervals

Results

14.0ms	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

prune15.0ms

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: 11.9b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
3.9b	(* y (/ z t))
4.4b	(* y (/ b t))
11.5b	(/ (+ 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:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (* y (/ z t)))
5.0ms	(* y (/ z t))
5.0ms	(* y (/ b t))
40.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5463	1470

prune189.0ms

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: 11.2b

Counts

124 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
3.9b	(* y (/ z t))
4.4b	(* y (/ b t))
11.1b	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

rewrite35.0ms

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)))))
6.0ms	(* y (/ z t))
6.0ms	(* y (/ b t))
12.0ms	(* (+ 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 (/ z t))
5.0ms	(* y (/ b t))
40.0ms	(* (+ 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

prune186.0ms

Filtered

97 candidates to 158 candidates (-62.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	158	10	168

Merged error: 11.2b

Counts

168 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (/ (+ a (+ 1.0 (* y (/ b t)))) (+ x (* y (/ z t)))))
3.9b	(* y (/ z t))
4.4b	(* y (/ b t))
11.4b	(/ (+ a (+ 1.0 (* y (/ b t)))) (+ x (* y (/ z t))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

134×	`times-frac`
112×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
27×	`add-exp-log`
26×	`associate-r`
21×	`associate-/r*` `add-cbrt-cube`
16×	`distribute-lft-out`
11×	`associate-/r/`
10×	`div-exp`
9×	`pow1`
8×	`div-inv`
7×	`associate-/l*`
6×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 195

Calls

4 calls:

10.0ms	(/ 1 (/ (+ a (+ 1.0 (* y (/ b t)))) (+ x (* y (/ z t)))))
6.0ms	(* y (/ z t))
6.0ms	(* y (/ b t))
11.0ms	(/ (+ a (+ 1.0 (* y (/ b t)))) (+ x (* y (/ z t))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ 1 (/ (+ a (+ 1.0 (* y (/ b t)))) (+ x (* y (/ z t)))))
5.0ms	(* y (/ z t))
5.0ms	(* y (/ b t))
28.0ms	(/ (+ a (+ 1.0 (* y (/ b t)))) (+ x (* y (/ z t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5009	4095

prune234.0ms

Filtered

126 candidates to 207 candidates (-64.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	206	11	217

Merged error: 11.1b

Counts

217 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

6.1b	(/ (* (cbrt (+ x (* y (/ z t)))) (cbrt (+ x (* y (/ z t))))) (/ (+ a (+ 1.0 (* y (/ b t)))) (cbrt (+ x (* y (/ z t))))))
8.3b	(cbrt (+ x (* y (/ z t))))
8.3b	(cbrt (+ x (* y (/ z t))))
8.3b	(cbrt (+ x (* y (/ z t))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
61×	`*-un-lft-identity`
37×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`cbrt-prod`
30×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
12×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

17.0ms	(/ (* (cbrt (+ x (* y (/ z t)))) (cbrt (+ x (* y (/ z t))))) (/ (+ a (+ 1.0 (* y (/ b t)))) (cbrt (+ x (* y (/ z t))))))
2.0ms	(cbrt (+ x (* y (/ z t))))
2.0ms	(cbrt (+ x (* y (/ z t))))
3.0ms	(cbrt (+ x (* y (/ z t))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* (cbrt (+ x (* y (/ z t)))) (cbrt (+ x (* y (/ z t))))) (/ (+ a (+ 1.0 (* y (/ b t)))) (cbrt (+ x (* y (/ z t))))))
42.0ms	(cbrt (+ x (* y (/ z t))))
41.0ms	(cbrt (+ x (* y (/ z t))))
42.0ms	(cbrt (+ x (* y (/ z t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5065	4193

prune174.0ms

Filtered

108 candidates to 139 candidates (-28.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	139	11	150

Merged error: 11.1b

Counts

150 → 11

regimes1.1s

Accuracy

65% (1.7b remaining)

Error of 13.0b against oracle of 11.3b and baseline of 16.2b

bsearch36.0ms

Steps

Iters	Range		Point
4	3.3135189092892017e+44	5.249571235811596e+44	3.347747856929797e+44
9	-2.2081738417012992e+123	-1.1356378839920548e+117	-3.8674225580125563e+117

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	63
1	45	63

end0.0ms

sample772.0ms

Algorithm

intervals

Results

463.0ms	8000×	body	80	valid
17.0ms	301×	body	80	invalid

Details

analyze1.3s

sample33.0ms

simplify3.0ms

prune15.0ms

localize13.0ms

rewrite26.0ms

series58.0ms

simplify39.0ms

prune189.0ms

localize14.0ms

rewrite35.0ms

series63.0ms

simplify31.0ms

prune186.0ms

localize14.0ms

rewrite40.0ms

series127.0ms

simplify68.0ms

prune234.0ms

localize17.0ms

rewrite30.0ms

series167.0ms

simplify59.0ms

prune174.0ms

regimes1.1s

bsearch36.0ms

simplify1.0ms

end0.0ms

sample772.0ms

Profiling