Details

analyze1.2s

Algorithm: search

sample35.0ms

Algorithm

intervals

Results

14.0ms	219×	body	80	valid
2.0ms	12×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	35×	body	80	invalid
1.0ms	8×	body	320	valid
1.0ms	8×	body	160	valid

simplify66.0ms

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

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: 21.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.3b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.0b	(/ (* (- 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))

series91.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
48.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
34.0ms	(/ (* (- 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

prune152.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	79	11	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	11	91

Merged error: 3.5b

Counts

91 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

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))
16.0ms	(/ (- y x) (/ (- a t) (- z t)))
43.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series102.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify108.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (24.0ms)

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

prune245.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	283	11	294

Merged error: 3.4b

Counts

294 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
228×	`times-frac`
211×	`add-sqr-sqrt`
99×	`distribute-lft-out--`
63×	`difference-of-squares`
61×	`add-cube-cbrt`
32×	`associate-/r/`
28×	`associate-/r*`
18×	`distribute-rgt-out--`
16×	`flip3--` `flip--`
15×	`div-inv`
11×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 219

Calls

4 calls:

5.0ms	(/ t (- z t))
5.0ms	(/ a (- z t))
36.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
50.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ t (- z t))
7.0ms	(/ a (- z t))
46.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
67.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	770	2274
1	2609	2231
2	5003	2227

prune214.0ms

Filtered

156 candidates to 231 candidates (-48.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	231	11	242

Merged error: 3.4b

Counts

242 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

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

series94.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- z t) (- a t))
49.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
34.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

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

prune93.0ms

Filtered

85 candidates to 128 candidates (-50.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	128	11	139

Merged error: 3.4b

Counts

139 → 11

regimes507.0ms

Accuracy

19.3% (6.1b remaining)

Error of 10.6b against oracle of 4.5b and baseline of 12.1b

bsearch2.3s

Steps

Iters	Range		Point
6	3.2791590753852654e-193	4.7714347107940924e-192	2.3921809252817457e-192
8	-9.349387173034583e-138	-3.2774963218180144e-142	-6.156969413052868e-141

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	14
1	31	14

end0.0ms

analyze1.1s

Algorithm: search

sample838.0ms

Algorithm

intervals

Results

266.0ms	6481×	body	80	valid
81.0ms	514×	body	640	valid
53.0ms	447×	body	320	valid
51.0ms	285×	body	1280	valid
50.0ms	1216×	body	80	invalid
19.0ms	257×	body	160	valid
4.0ms	16×	body	2560	valid

Details

analyze1.2s

sample35.0ms

simplify66.0ms

prune4.0ms

localize10.0ms

rewrite30.0ms

series91.0ms

simplify57.0ms

prune152.0ms

localize9.0ms

rewrite88.0ms

series102.0ms

simplify108.0ms

prune245.0ms

localize10.0ms

rewrite110.0ms

series125.0ms

simplify75.0ms

prune214.0ms

localize9.0ms

rewrite33.0ms

series94.0ms

simplify54.0ms

prune93.0ms

regimes507.0ms

bsearch2.3s

simplify2.0ms

end0.0ms

analyze1.1s

sample838.0ms

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