Details

analyze983.0ms

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

8.0ms	211×	body	80	valid
3.0ms	17×	body	640	valid
2.0ms	11×	body	1280	valid
2.0ms	41×	body	80	invalid
1.0ms	13×	body	320	valid
0.0ms	4×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune9.0ms

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: 23.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.1b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.9b	(/ (* (- y x) (- z t)) (- a t))

rewrite29.0ms

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:

8.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
11.0ms	(/ (* (- y x) (- z t)) (- a t))

series88.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
49.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
30.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

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

prune144.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

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: 3.9b

Counts

91 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.1b	(+ x (/ (- y x) (/ (- a t) (- z t))))
1.4b	(/ (- y x) (/ (- a t) (- z t)))

rewrite77.0ms

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:

7.0ms	(/ (- a t) (- z t))
39.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
14.0ms	(/ (- y x) (/ (- a t) (- z t)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
46.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
43.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify105.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5001	2984

prune246.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	273	10	283
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	279	14	293

Merged error: 3.9b

Counts

293 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
1.3b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))
1.4b	(/ (/ (- a t) (- z t)) (- y x))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

1933×	`times-frac`
1483×	`*-un-lft-identity`
1480×	`add-sqr-sqrt`
624×	`add-cube-cbrt`
428×	`distribute-lft-out--` `difference-of-squares`
171×	`associate-/r*`
65×	`associate-/r/`
39×	`associate-/l*`
34×	`div-inv`
33×	`flip3--` `flip--`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 946

Calls

4 calls:

7.0ms	(/ (- a t) (- z t))
37.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
104.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))
15.0ms	(/ (/ (- a t) (- z t)) (- y x))

series150.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- a t) (- z t))
47.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
48.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))
45.0ms	(/ (/ (- a t) (- z t)) (- y x))

simplify167.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2354	13201
1	5001	11832

prune603.0ms

Filtered

358 candidates to 958 candidates (-167.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	956	2	958
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	958	14	972

Merged error: 3.9b

Counts

972 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
1.4b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
3.1b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite43.0ms

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))
12.0ms	(* (- a t) (/ 1 (- z t)))
13.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
8.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- z t))
10.0ms	(* (- a t) (/ 1 (- z t)))
39.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
48.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	559	958
1	2445	830
2	5002	783

prune125.0ms

Filtered

93 candidates to 154 candidates (-65.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	153	15	168

Merged error: 3.9b

Counts

168 → 15

regimes650.0ms

Accuracy

19% (6.3b remaining)

Error of 10.4b against oracle of 4.0b and baseline of 11.8b

bsearch2.9s

Steps

Iters	Range		Point
8	3.901473404261545e-188	1.5082555149607887e-184	1.0821493181548416e-184
10	-3.510360043756763e-160	-7.2080523756170645e-171	-8.513797734101057e-166

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

analyze992.0ms

Algorithm: search

sample794.0ms

Algorithm

intervals

Results

255.0ms	6540×	body	80	valid
74.0ms	469×	body	640	valid
52.0ms	1196×	body	80	invalid
51.0ms	261×	body	1280	valid
48.0ms	448×	body	320	valid
23.0ms	263×	body	160	valid
4.0ms	19×	body	2560	valid

Details

analyze983.0ms

sample32.0ms

simplify67.0ms

prune9.0ms

localize9.0ms

rewrite29.0ms

series88.0ms

simplify57.0ms

prune144.0ms

localize9.0ms

rewrite77.0ms

series99.0ms

simplify105.0ms

prune246.0ms

localize10.0ms

rewrite255.0ms

series150.0ms

simplify167.0ms

prune603.0ms

localize10.0ms

rewrite43.0ms

series102.0ms

simplify68.0ms

prune125.0ms

regimes650.0ms

bsearch2.9s

simplify2.0ms

end0.0ms

analyze992.0ms

sample794.0ms

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