Details

analyze918.0ms

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	36×	body	80	invalid

simplify46.0ms

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: 0.6b

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))
1.3b	(* y (/ (- z t) (- a t)))

rewrite32.0ms

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) (- a t))))
7.0ms	(/ (- z t) (- a t))
18.0ms	(* y (/ (- z t) (- a t)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
15.0ms	(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune139.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.3b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite71.0ms

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 (/ (- a t) (- z t)))))
7.0ms	(/ (- a t) (- z t))
11.0ms	(/ 1 (/ (- a t) (- z t)))
30.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
9.0ms	(/ (- a t) (- z t))
17.0ms	(/ 1 (/ (- a t) (- z t)))
31.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify115.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	950	2836
1	4759	2547
2	5001	2261

prune442.0ms

Filtered

183 candidates to 350 candidates (-91.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	351	5	356

Merged error: 0b

Counts

356 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
16×	`pow1`
15×	`add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `associate-*r/` `div-exp`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

simplify97.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	228	492
1	848	357
2	4752	299
3	5002	275

prune69.0ms

Filtered

46 candidates to 72 candidates (-56.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0b

Counts

77 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ x (* (/ y (- a t)) (- z t)))
11.8b	(* (/ y (- a t)) (- z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ y (- a t))
3.0ms	(+ x (* (/ y (- a t)) (- z t)))
11.0ms	(* (/ y (- a t)) (- z t))

series65.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- a t))
34.0ms	(+ x (* (/ y (- a t)) (- z t)))
25.0ms	(* (/ y (- a t)) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	616
1	1631	576
2	5002	576

prune86.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	111	5	116

Merged error: 0b

Counts

116 → 5

regimes476.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

analyze912.0ms

Algorithm: search

sample584.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	80	valid
29.0ms	735×	body	80	invalid

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

analyze918.0ms

sample24.0ms

simplify46.0ms

prune4.0ms

localize8.0ms

rewrite32.0ms

series51.0ms

simplify49.0ms

prune139.0ms

localize10.0ms

rewrite71.0ms

series89.0ms

simplify115.0ms

prune442.0ms

localize12.0ms

rewrite20.0ms

series84.0ms

simplify97.0ms

prune69.0ms

localize8.0ms

rewrite22.0ms

series65.0ms

simplify46.0ms

prune86.0ms

regimes476.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze912.0ms

sample584.0ms

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