Details

sample29.0ms

Algorithm

intervals

Results

11.0ms	243×	body	80	valid
2.0ms	11×	body	1280	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	640	valid
1.0ms	10×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 25.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.2b	(+ x (/ (* (- y x) (- z t)) (- a t)))
19.1b	(/ (* (- y x) (- z t)) (- a t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `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`
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 → 81

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series293.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (- y x) (- z t))
149.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
106.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune240.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 3.6b

Counts

91 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.3b	(/ (- y x) (/ (- a t) (- z t)))
3.2b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
18.0ms	(/ (- y x) (/ (- a t) (- z t)))
38.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series389.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- a t) (- z t))
189.0ms	(/ (- y x) (/ (- a t) (- z t)))
153.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify104.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5003	2984

prune532.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	274	9	283
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	281	12	293

Merged error: 3.5b

Counts

293 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.3b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
4.4b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

5.0ms	(/ 1 (- z t))
13.0ms	(* (- a t) (/ 1 (- z t)))
16.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
8.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series501.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (- z t))
65.0ms	(* (- a t) (/ 1 (- z t)))
249.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
150.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	559	960
1	2445	832
2	5001	785

prune296.0ms

Filtered

154 candidates to 95 candidates (61.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	154	12	166

Merged error: 3.5b

Counts

166 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(* (- y x) (/ (- z t) (- a t)))
3.2b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
16.0ms	(* (- y x) (/ (- z t) (- a t)))
4.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series323.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- z t) (- a t))
114.0ms	(* (- y x) (/ (- z t) (- a t)))
159.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5001	820

prune240.0ms

Filtered

128 candidates to 87 candidates (68.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	127	13	140

Merged error: 3.5b

Counts

140 → 13

regimes282.0ms

Accuracy

12.3% (6.9b remaining)

Error of 11.0b against oracle of 4.2b and baseline of 12.0b

bsearch156.0ms

Steps

Iters	Range		Point
6	8.869983274952015e-138	1.2853197318124835e-136	1.8290058539643158e-137
7	-2.6039435892411817e-256	-5.035163228635179e-258	-2.5142637093147727e-256
8	-1.8633285949121826e-198	-4.709989452047062e-202	-5.759069533568762e-202
6	-2.104354909493457e-152	-1.688171996528057e-153	-1.9975742700347867e-153

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	32
1	47	32

end0.0ms

sample777.0ms

Algorithm

intervals

Results

306.0ms	7676×	body	80	valid
68.0ms	487×	body	640	valid
50.0ms	451×	body	320	valid
45.0ms	253×	body	1280	valid
21.0ms	296×	body	160	valid
4.0ms	17×	body	2560	valid