Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	248×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	2×	body	2560	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

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: 23.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.7b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.1b	(/ (* (- y x) (- z t)) (- a t))

rewrite32.0ms

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

series300.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (- y x) (- z t))
149.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
113.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

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

prune224.0ms

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: 4.3b

Counts

91 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.7b	(+ x (* (- y x) (/ (- z t) (- a t))))
1.7b	(* (- y x) (/ (- z t) (- a t)))

rewrite33.0ms

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))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
16.0ms	(* (- y x) (/ (- z t) (- a t)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- z t) (- a t))
153.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
116.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5002	820

prune251.0ms

Filtered

128 candidates to 84 candidates (65.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	126	12	138

Merged error: 4.3b

Counts

138 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.3b	(/ (- y x) (/ (- a t) (- z t)))

rewrite86.0ms

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))
37.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
18.0ms	(/ (- y x) (/ (- a t) (- z t)))

series403.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a t) (- z t))
157.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
198.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify113.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (25.0ms)

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

prune535.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	281	14	295

Merged error: 4.1b

Counts

295 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
2.3b	(/ (/ (- a t) (- z t)) (- y x))
2.4b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite276.0ms

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:

8.0ms	(/ (- a t) (- z t))
41.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
16.0ms	(/ (/ (- a t) (- z t)) (- y x))
111.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series683.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- a t) (- z t))
303.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
157.0ms	(/ (/ (- a t) (- z t)) (- y x))
176.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify175.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2362	13203
1	5001	11834

prune1.2s

Filtered

958 candidates to 358 candidates (37.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	957	1	958
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	959	13	972

Merged error: 4.1b

Counts

972 → 13

regimes289.0ms

Accuracy

16.4% (6.2b remaining)

Error of 10.6b against oracle of 4.3b and baseline of 11.8b

bsearch98.0ms

Steps

Iters	Range		Point
7	4.3994784567938958e-221	1.0438010246619942e-219	6.960576213410919e-220
9	-1.1881306621265082e-122	-1.1040839761273728e-129	-3.465659509503772e-129

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample786.0ms

Algorithm

intervals

Results

311.0ms	7758×	body	80	valid
79.0ms	497×	body	640	valid
54.0ms	288×	body	1280	valid
48.0ms	426×	body	320	valid
19.0ms	246×	body	160	valid
5.0ms	17×	body	2560	valid

Details

sample28.0ms

simplify67.0ms

prune2.0ms

localize10.0ms

rewrite32.0ms

series300.0ms

simplify55.0ms

prune224.0ms

localize10.0ms

rewrite33.0ms

series318.0ms

simplify56.0ms

prune251.0ms

localize10.0ms

rewrite86.0ms

series403.0ms

simplify113.0ms

prune535.0ms

localize12.0ms

rewrite276.0ms

series683.0ms

simplify175.0ms

prune1.2s

regimes289.0ms

bsearch98.0ms

simplify1.0ms

end0.0ms

sample786.0ms

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