Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	239×	body	80	valid
3.0ms	16×	body	1280	valid
2.0ms	13×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	9×	body	160	valid

simplify61.0ms

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

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: 25.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.4b	(/ (* (- 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))

series307.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (- y x) (- z t))
151.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
114.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

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

prune234.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	12	91

Merged error: 4.3b

Counts

91 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.3b	(* (- y x) (/ (- z t) (- a t)))
2.5b	(+ 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))))

series364.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (- z t) (- a t))
145.0ms	(* (- y x) (/ (- z t) (- a t)))
155.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (13.0ms)

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

prune256.0ms

Filtered

128 candidates to 83 candidates (64.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	125	15	140

Merged error: 4.3b

Counts

140 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.3b	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.9b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ 1 (- a t))
13.0ms	(* (- z t) (/ 1 (- a t)))
15.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- a t))
54.0ms	(* (- z t) (/ 1 (- a t)))
113.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
155.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	586	1027
1	2802	910
2	5003	865

prune302.0ms

Filtered

158 candidates to 98 candidates (62.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	159	14	173

Merged error: 4.3b

Counts

173 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.6b	(/ (- y x) (/ (- a t) (- z t)))

rewrite85.0ms

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))
38.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
19.0ms	(/ (- y x) (/ (- a t) (- z t)))

series407.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- a t) (- z t))
157.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
204.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify112.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

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

prune527.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	277	6	283
Fresh	5	7	12
Picked	1	0	1
Done	0	1	1
Total	283	14	297

Merged error: 4.1b

Counts

297 → 14

regimes561.0ms

Accuracy

13.2% (6.9b remaining)

Error of 11.0b against oracle of 4.1b and baseline of 12.1b

bsearch100.0ms

Steps

Iters	Range		Point
8	4.654661463081689e-168	6.831425163913281e-165	1.6801047980398177e-165
9	-3.677243742140205e-43	-6.711800384937827e-49	-6.775489710236135e-49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	14
1	31	14

end0.0ms

sample816.0ms

Algorithm

intervals

Results

314.0ms	7727×	body	80	valid
73.0ms	477×	body	640	valid
65.0ms	325×	body	1280	valid
48.0ms	425×	body	320	valid
20.0ms	261×	body	160	valid
4.0ms	17×	body	2560	valid