Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

sample32.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	112×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	378	13
1	378	13

prune13.0ms

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: 7.2b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 53

Calls

3 calls:

3.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series38.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(- (* x y) (* (* z 9.0) t))
3.0ms	(* (* z 9.0) t)
22.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6067	705

prune109.0ms

Filtered

43 candidates to 62 candidates (-44.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 0.0b

Counts

64 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.8b	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1` `associate-r`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `times-frac` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `diff-log` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

3.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
10.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(- (* x y) (* (* z 9.0) t))
3.0ms	(* (* z 9.0) t)
19.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4974	882
1	4974	882

prune100.0ms

Filtered

47 candidates to 74 candidates (-57.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	74	9	83

Merged error: 0.0b

Counts

83 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* x y) (* z (* 9.0 t)))
0.3b	(* z (* 9.0 t))
0.5b	(/ 1 (* 2.0 (/ a (- (* x y) (* z (* 9.0 t))))))
6.8b	(/ a (- (* x y) (* z (* 9.0 t))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `times-frac`
10×	`div-exp`
9×	`prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`pow-prod-down` `associate-/r*`
3×	`rec-exp` `1-exp` `associate-l` `associate-/r/`
2×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `diff-log` `associate-r/` `associate-r` `-commutative` `inv-pow`

Counts

4 → 91

Calls

4 calls:

3.0ms	(- (* x y) (* z (* 9.0 t)))
5.0ms	(* z (* 9.0 t))
9.0ms	(/ 1 (* 2.0 (/ a (- (* x y) (* z (* 9.0 t))))))
5.0ms	(/ a (- (* x y) (* z (* 9.0 t))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (* x y) (* z (* 9.0 t)))
4.0ms	(* z (* 9.0 t))
27.0ms	(/ 1 (* 2.0 (/ a (- (* x y) (* z (* 9.0 t))))))
17.0ms	(/ a (- (* x y) (* z (* 9.0 t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5131	1261

prune321.0ms

Filtered

65 candidates to 103 candidates (-58.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	103	9	112

Merged error: 0.0b

Counts

112 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 9.0 t))
0.5b	(/ 1 (* a (/ 2.0 (- (* x y) (* z (* 9.0 t))))))
0.6b	(/ 2.0 (- (* x y) (* z (* 9.0 t))))
6.3b	(* a (/ 2.0 (- (* x y) (* z (* 9.0 t)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
28×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
16×	`associate-r`
14×	`pow1`
11×	`div-exp` `prod-exp`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
5×	`pow-prod-down` `associate-/r/`
4×	`associate-/r*` `add-log-exp`
3×	`rec-exp` `1-exp` `div-inv`
2×	`flip3--` `pow-flip` `frac-2neg` `associate-r/` `clear-num` `-commutative` `flip--` `unswap-sqr`
1×	`inv-pow`

Counts

4 → 114

Calls

4 calls:

5.0ms	(* z (* 9.0 t))
8.0ms	(/ 1 (* a (/ 2.0 (- (* x y) (* z (* 9.0 t))))))
5.0ms	(/ 2.0 (- (* x y) (* z (* 9.0 t))))
8.0ms	(* a (/ 2.0 (- (* x y) (* z (* 9.0 t)))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* z (* 9.0 t))
27.0ms	(/ 1 (* a (/ 2.0 (- (* x y) (* z (* 9.0 t))))))
14.0ms	(/ 2.0 (- (* x y) (* z (* 9.0 t))))
19.0ms	(* a (/ 2.0 (- (* x y) (* z (* 9.0 t)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5775	1594

prune132.0ms

Filtered

81 candidates to 126 candidates (-55.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	127	8	135

Merged error: 0.0b

Counts

135 → 8

regimes1.4s

Accuracy

89.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	69
1	46	69

end0.0ms

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

sample830.0ms

Algorithm

intervals

Results

353.0ms	8000×	body	80	valid
134.0ms	3176×	body	80	invalid

Details

analyze1.1s

sample32.0ms

simplify7.0ms

prune13.0ms

localize10.0ms

rewrite16.0ms

series38.0ms

simplify43.0ms

prune109.0ms

localize11.0ms

rewrite20.0ms

series36.0ms

simplify42.0ms

prune100.0ms

localize13.0ms

rewrite25.0ms

series63.0ms

simplify58.0ms

prune321.0ms

localize11.0ms

rewrite32.0ms

series64.0ms

simplify61.0ms

prune132.0ms

regimes1.4s

bsearch1.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample830.0ms

Profiling