Details

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 1.120665%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune4.0ms

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: 1.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
7.0ms	(/ (- z t) (- a t))
17.0ms	(* y (/ (- z t) (- a t)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
15.0ms	(* y (/ (- z t) (- a t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune133.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
2.2b	(* y (* (- z t) (/ 1 (- a t))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
7.0ms	(/ 1 (- a t))
12.0ms	(* (- z t) (/ 1 (- a t)))
11.0ms	(* y (* (- z t) (/ 1 (- a t))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
4.0ms	(/ 1 (- a t))
9.0ms	(* (- z t) (/ 1 (- a t)))
15.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	453	786
1	2003	677
2	5001	632

prune122.0ms

Filtered

84 candidates to 142 candidates (-69.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Merged error: 0.0b

Counts

149 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 (- a t))))
0.0b	(/ 1 (- a t))
9.7b	(* (* y (- z t)) (/ 1 (- a t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `un-div-inv` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

6.0ms	(* y (- z t))
3.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
5.0ms	(/ 1 (- a t))
12.0ms	(* (* y (- z t)) (/ 1 (- a t)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- z t))
27.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
4.0ms	(/ 1 (- a t))
15.0ms	(* (* y (- z t)) (/ 1 (- a t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	493	748
1	2610	647
2	5001	604

prune113.0ms

Filtered

78 candidates to 140 candidates (-79.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	139	8	147

Merged error: 0b

Counts

147 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (sqrt (/ (- z t) (- a t))))
0.1b	(* (* y (sqrt (/ (- z t) (- a t)))) (sqrt (/ (- z t) (- a t))))
3.2b	(sqrt (/ (- z t) (- a t)))
3.2b	(sqrt (/ (- z t) (- a t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

144×	`add-sqr-sqrt`
131×	`*-un-lft-identity`
126×	`sqrt-prod`
103×	`times-frac`
68×	`associate-r`
51×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
7×	`sqrt-div`
4×	`rem-sqrt-square` `flip3--` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 190

Calls

4 calls:

14.0ms	(* y (sqrt (/ (- z t) (- a t))))
23.0ms	(* (* y (sqrt (/ (- z t) (- a t)))) (sqrt (/ (- z t) (- a t))))
7.0ms	(sqrt (/ (- z t) (- a t)))
7.0ms	(sqrt (/ (- z t) (- a t)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (sqrt (/ (- z t) (- a t))))
15.0ms	(* (* y (sqrt (/ (- z t) (- a t)))) (sqrt (/ (- z t) (- a t))))
41.0ms	(sqrt (/ (- z t) (- a t)))
45.0ms	(sqrt (/ (- z t) (- a t)))

simplify111.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	451	1734
1	1663	1598
2	4490	1568
3	5001	1556

prune148.0ms

Filtered

133 candidates to 202 candidates (-51.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	202	8	210

Merged error: 0b

Counts

210 → 8

regimes724.0ms

Accuracy

67.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch72.0ms

Steps

Iters	Range		Point
7	3.4307044097019453e-75	5.2286702021629504e-73	1.8239019318010233e-74
9	-4.7153743979710665e-35	-7.550788005144446e-41	-9.639803143027136e-37

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 1.120665%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

310.0ms	7999×	body	80	valid
23.0ms	674×	body	80	invalid
0.0ms	1×	body	1280	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Details

sample2.4s

simplify44.0ms

prune4.0ms

localize8.0ms

rewrite31.0ms

series49.0ms

simplify51.0ms

prune133.0ms

localize9.0ms

rewrite38.0ms

series53.0ms

simplify53.0ms

prune122.0ms

localize9.0ms

rewrite30.0ms

series53.0ms

simplify61.0ms

prune113.0ms

localize10.0ms

rewrite61.0ms

series128.0ms

simplify111.0ms

prune148.0ms

regimes724.0ms

bsearch72.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5