Details

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.700684%

Guaranteed chance to sample good point: 51.831715%

Results

8.0ms	256×	body	80	valid
2.0ms	54×	body	80	invalid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2128	4
12	3385	4
13	5002	4

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: 4.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
5.5b	(/ (* y (- z x)) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

4.0ms	(+ x (/ (* y (- z x)) t))
12.0ms	(* y (- z x))
7.0ms	(/ (* y (- z x)) t)

series30.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune103.0ms

Filtered

45 candidates to 70 candidates (-55.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
0.0b	(* y (- z x))
5.6b	(* (* y (- z x)) (/ 1 t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

3.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
6.0ms	(* y (- z x))
11.0ms	(* (* y (- z x)) (/ 1 t))

series30.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	417	472
1	2153	394
2	5002	380

prune102.0ms

Filtered

53 candidates to 88 candidates (-66.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.8b	(/ 1 (/ t (* y (- z x))))
5.5b	(/ t (* y (- z x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

13.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
7.0ms	(* y (- z x))
9.0ms	(/ 1 (/ t (* y (- z x))))
6.0ms	(/ t (* y (- z x)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	447	814
1	2087	667
2	5001	650

prune121.0ms

Filtered

74 candidates to 138 candidates (-86.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	138	9	147

Merged error: 0b

Counts

147 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t y) (- z x))))
0.8b	(/ 1 (/ (/ t y) (- z x)))
5.2b	(/ (/ t y) (- z x))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

55.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
21.0ms	(/ 1 (/ (/ t y) (- z x)))
9.0ms	(/ (/ t y) (- z x))

series40.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
13.0ms	(/ 1 (/ (/ t y) (- z x)))
10.0ms	(/ (/ t y) (- z x))

simplify78.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1412	4507
1	5001	3661

prune225.0ms

Filtered

203 candidates to 434 candidates (-113.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	432	2	434
Fresh	5	1	6
Picked	1	0	1
Done	0	2	2
Total	438	5	443

Merged error: 0b

Counts

443 → 5

regimes262.0ms

Accuracy

-5% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch39.0ms

Steps

Iters	Range		Point
4	-3.646521572834523e-303	-2.0012213661504367e-303	-2.361295566700529e-303
8	-3.9504049361843324e-120	-1.2220121825116207e-124	-1.9377132146810416e-120

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.700684%

Guaranteed chance to sample good point: 51.831715%

Results

275.0ms	8000×	body	80	valid
77.0ms	2072×	body	80	invalid

Details

sample2.2s

simplify114.0ms

prune4.0ms

localize7.0ms

rewrite25.0ms

series30.0ms

simplify43.0ms

prune103.0ms

localize8.0ms

rewrite23.0ms

series30.0ms

simplify60.0ms

prune102.0ms

localize9.0ms

rewrite39.0ms

series41.0ms

simplify59.0ms

prune121.0ms

localize8.0ms

rewrite116.0ms

series40.0ms

simplify78.0ms

prune225.0ms

regimes262.0ms

bsearch39.0ms

simplify2.0ms

end0.0ms

sample2.9s

Profiling