Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	236×	body	80	valid
2.0ms	12×	body	1280	valid
2.0ms	14×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify65.0ms

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: 27.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.3b	(+ x (/ (* (- y x) (- z t)) (- a t)))
19.7b	(/ (* (- 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:

9.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
11.0ms	(/ (* (- y x) (- z t)) (- a t))

series92.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
49.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
34.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

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

prune148.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

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: 5.6b

Counts

91 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.2b	(* (- y x) (/ (- z t) (- a t)))
2.3b	(+ x (* (- 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:

10.0ms	(/ (- z t) (- a t))
15.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series94.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
36.0ms	(* (- y x) (/ (- z t) (- a t)))
49.0ms	(+ x (* (- 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

prune153.0ms

Filtered

83 candidates to 128 candidates (-54.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	126	14	140

Merged error: 5.6b

Counts

140 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify109.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (24.0ms)

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

prune224.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	4	8	12
Picked	0	1	1
Done	0	1	1
Total	284	13	297

Merged error: 5.6b

Counts

297 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
2.3b	(/ (/ (- a t) (- z t)) (- y x))
4.3b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite262.0ms

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))
39.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
16.0ms	(/ (/ (- a t) (- z t)) (- y x))
108.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- a t) (- z t))
48.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
49.0ms	(/ (/ (- a t) (- z t)) (- y x))
54.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify184.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2354	13201
1	5001	12242

prune550.0ms

Filtered

447 candidates to 958 candidates (-114.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	957	1	958
Fresh	1	9	10
Picked	1	0	1
Done	0	2	2
Total	959	12	971

Merged error: 5.6b

Counts

971 → 12

regimes517.0ms

Accuracy

20.2% (5.8b remaining)

Error of 10.1b against oracle of 4.3b and baseline of 11.6b

bsearch58.0ms

Steps

Iters	Range		Point
6	4.703789932084196e-210	4.359523288362953e-209	2.9405880694786777e-209
10	-1.0919894839988021e-136	-1.6398501806785867e-149	-4.557072304491483e-145

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	18
1	32	18

end0.0ms

sample905.0ms

Algorithm

intervals

Results

314.0ms	7851×	body	80	valid
68.0ms	478×	body	640	valid
50.0ms	258×	body	1280	valid
46.0ms	406×	body	320	valid
19.0ms	266×	body	160	valid
3.0ms	15×	body	2560	valid

Details

sample50.0ms

simplify65.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series92.0ms

simplify55.0ms

prune148.0ms

localize9.0ms

rewrite33.0ms

series94.0ms

simplify54.0ms

prune153.0ms

localize9.0ms

rewrite79.0ms

series101.0ms

simplify109.0ms

prune224.0ms

localize11.0ms

rewrite262.0ms

series160.0ms

simplify184.0ms

prune550.0ms

regimes517.0ms

bsearch58.0ms

simplify1.0ms

end0.0ms

sample905.0ms

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