Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	247×	body	80	valid
3.0ms	21×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	1×	body	2560	valid

simplify60.0ms

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: 27.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.6b	(/ (* (- 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))

series89.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
48.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
33.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

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

prune140.0ms

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: 4.0b

Counts

91 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.6b	(/ (- y x) (/ (- a t) (- z t)))
2.5b	(+ x (/ (- 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))
14.0ms	(/ (- y x) (/ (- a t) (- z t)))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series101.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
41.0ms	(/ (- y x) (/ (- a t) (- z t)))
51.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify99.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (21.0ms)

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

prune223.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	7	2	9
Picked	0	1	1
Done	0	0	0
Total	283	10	293

Merged error: 3.7b

Counts

293 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(* (- y x) (/ (- z t) (- a t)))
2.5b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite34.0ms

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:

7.0ms	(/ (- z t) (- a t))
18.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series106.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
35.0ms	(* (- y x) (/ (- z t) (- a t)))
61.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (14.0ms)

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

prune126.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	128	10	138

Merged error: 3.7b

Counts

138 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
1.6b	(/ (/ (- a t) (- z t)) (- y x))
4.4b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite295.0ms

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))
35.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
17.0ms	(/ (/ (- a t) (- z t)) (- y x))
140.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- a t) (- z t))
47.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
50.0ms	(/ (/ (- a t) (- z t)) (- y x))
46.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify166.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2354	13201
1	5001	11832

prune376.0ms

Filtered

358 candidates to 958 candidates (-167.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	958	0	958
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	958	10	968

Merged error: 3.7b

Counts

968 → 10

regimes469.0ms

Accuracy

17.4% (6.2b remaining)

Error of 10.4b against oracle of 4.2b and baseline of 11.7b

bsearch59.0ms

Steps

Iters	Range		Point
8	3.11660410730196e-148	6.408757939179362e-145	3.4412339072628355e-148
10	-1.0999849922963676e-181	-3.3262151319517313e-197	-8.940196429250235e-184

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms

sample941.0ms

Algorithm

intervals

Results

281.0ms	7766×	body	80	valid
63.0ms	473×	body	640	valid
44.0ms	265×	body	1280	valid
44.0ms	433×	body	320	valid
20.0ms	263×	body	160	valid
4.0ms	20×	body	2560	valid

Details

sample39.0ms

simplify60.0ms

prune4.0ms

localize8.0ms

rewrite29.0ms

series89.0ms

simplify52.0ms

prune140.0ms

localize9.0ms

rewrite79.0ms

series101.0ms

simplify99.0ms

prune223.0ms

localize9.0ms

rewrite34.0ms

series106.0ms

simplify57.0ms

prune126.0ms

localize10.0ms

rewrite295.0ms

series152.0ms

simplify166.0ms

prune376.0ms

regimes469.0ms

bsearch59.0ms

simplify1.0ms

end0.0ms

sample941.0ms

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