Details

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.878906%

Guaranteed chance to sample good point: 46.163793%

Results

9.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	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: 10.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
10.6b	(/ (* y (- z t)) (- z a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

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

series56.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (/ (* y (- z t)) (- z a)))
11.0ms	(* y (- z t))
17.0ms	(/ (* y (- z t)) (- z a))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune96.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.0b	(/ y (/ (- z a) (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

25.0ms	(+ x (/ y (/ (- z a) (- z t))))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (/ y (/ (- z a) (- z t))))
9.0ms	(/ (- z a) (- z t))
22.0ms	(/ y (/ (- z a) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune167.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	215	6	221

Merged error: 0b

Counts

221 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.0b	(* y (/ (- z t) (- z a)))

rewrite27.0ms

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:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune97.0ms

Filtered

81 candidates to 122 candidates (-50.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ y (/ (- z a) (- z t)))
5.5b	(cbrt (/ y (/ (- z a) (- z t))))
5.5b	(cbrt (/ y (/ (- z a) (- z t))))
5.5b	(cbrt (/ y (/ (- z a) (- z t))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

697×	`times-frac`
535×	`add-sqr-sqrt` `*-un-lft-identity`
294×	`cbrt-prod`
275×	`add-cube-cbrt`
130×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
30×	`associate-/r/`
17×	`div-inv`
13×	`flip3--` `flip--`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-div` `pow1/3` `div-exp` `associate-/l*`
1×	`frac-2neg` `clear-num`

Counts

4 → 463

Calls

4 calls:

11.0ms	(/ y (/ (- z a) (- z t)))
12.0ms	(cbrt (/ y (/ (- z a) (- z t))))
12.0ms	(cbrt (/ y (/ (- z a) (- z t))))
13.0ms	(cbrt (/ y (/ (- z a) (- z t))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ y (/ (- z a) (- z t)))
41.0ms	(cbrt (/ y (/ (- z a) (- z t))))
47.0ms	(cbrt (/ y (/ (- z a) (- z t))))
41.0ms	(cbrt (/ y (/ (- z a) (- z t))))

simplify115.0ms

Algorithm

egg-herbie

Counts

475 → 475

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	755	6001
1	2830	5931
2	5001	5889

prune436.0ms

Filtered

327 candidates to 475 candidates (-45.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	475	0	475
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	475	6	481

Merged error: 0b

Counts

481 → 6

regimes522.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.878906%

Guaranteed chance to sample good point: 46.163793%

Results

316.0ms	7997×	body	80	valid
23.0ms	634×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample2.3s

simplify53.0ms

prune4.0ms

localize9.0ms

rewrite23.0ms

series56.0ms

simplify41.0ms

prune96.0ms

localize8.0ms

rewrite57.0ms

series58.0ms

simplify79.0ms

prune167.0ms

localize8.0ms

rewrite27.0ms

series55.0ms

simplify47.0ms

prune97.0ms

localize14.0ms

rewrite86.0ms

series153.0ms

simplify115.0ms

prune436.0ms

regimes522.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling