Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

273×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.0b	(* 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)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
15.0ms	(* 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

prune147.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Merged error: 0b

Counts

123 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.0b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ 1 (/ (- z a) (- z t)))
28.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ 1 (/ (- z a) (- z t)))
20.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify102.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	954	2831
1	4775	2542
2	5002	2256

prune227.0ms

Filtered

183 candidates to 350 candidates (-91.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	347	3	350
Fresh	7	1	8
Picked	1	0	1
Done	0	1	1
Total	355	5	360

Merged error: 0b

Counts

360 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.1b	(/ y (/ (- z a) (- z t)))

rewrite55.0ms

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:

24.0ms	(+ x (/ y (/ (- z a) (- z t))))
10.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (/ y (/ (- z a) (- z t))))
11.0ms	(/ (- z a) (- z t))
21.0ms	(/ y (/ (- z a) (- z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (58.0ms)

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

prune172.0ms

Filtered

143 candidates to 215 candidates (-50.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- z t))
0.0b	(/ a (- z t))
0.2b	(/ 1 (- (/ z (- z t)) (/ a (- z t))))
1.0b	(* y (/ 1 (- (/ z (- z t)) (/ a (- z t)))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
266×	`times-frac`
219×	`add-sqr-sqrt`
92×	`distribute-lft-out--`
84×	`add-cube-cbrt`
62×	`associate-r`
50×	`difference-of-squares`
40×	`associate-/r/`
28×	`associate-/r*`
21×	`add-exp-log` `distribute-rgt-out--`
18×	`flip3--` `flip--` `div-inv`
15×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`pow1`
6×	`div-exp`
4×	`cbrt-undiv` `prod-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`rec-exp` `1-exp` `frac-sub` `cbrt-unprod` `sub-div`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 254

Calls

4 calls:

5.0ms	(/ z (- z t))
5.0ms	(/ a (- z t))
30.0ms	(/ 1 (- (/ z (- z t)) (/ a (- z t))))
44.0ms	(* y (/ 1 (- (/ z (- z t)) (/ a (- z t)))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ z (- z t))
7.0ms	(/ a (- z t))
14.0ms	(/ 1 (- (/ z (- z t)) (/ a (- z t))))
30.0ms	(* y (/ 1 (- (/ z (- z t)) (/ a (- z t)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	683	2000
1	2940	1835
2	5003	1686

prune184.0ms

Filtered

155 candidates to 266 candidates (-71.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	266	5	271

Merged error: 0b

Counts

271 → 5

regimes544.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample764.0ms

Algorithm

intervals

Results

314.0ms	8736×	body	80	valid
0.0ms	1×	body	640	valid

Details

sample32.0ms

simplify52.0ms

prune4.0ms

localize8.0ms

rewrite27.0ms

series51.0ms

simplify47.0ms

prune147.0ms

localize9.0ms

rewrite70.0ms

series70.0ms

simplify102.0ms

prune227.0ms

localize8.0ms

rewrite55.0ms

series59.0ms

simplify77.0ms

prune172.0ms

localize11.0ms

rewrite103.0ms

series56.0ms

simplify80.0ms

prune184.0ms

regimes544.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample764.0ms

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