Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	239×	body	80	valid
5.0ms	17×	body	320	valid
3.0ms	19×	body	640	valid
2.0ms	11×	body	1280	valid
0.0ms	5×	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

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: 25.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.4b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.7b	(/ (* (- 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:

8.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
11.0ms	(/ (* (- 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)))
33.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

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

prune137.0ms

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: 5.1b

Counts

91 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.4b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.6b	(/ (- 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)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify101.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (21.0ms)

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

prune217.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	282	11	293

Merged error: 4.9b

Counts

293 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
2.5b	(/ (/ (- a t) (- z t)) (- y x))
3.6b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite279.0ms

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))
40.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
16.0ms	(/ (/ (- a t) (- z t)) (- y x))
114.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- a t) (- z t))
50.0ms	(/ 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))))

simplify167.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2354	13201
1	5001	11832

prune434.0ms

Filtered

357 candidates to 958 candidates (-168.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	958	0	958
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	958	11	969

Merged error: 4.9b

Counts

969 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.6b	(* (- 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:

8.0ms	(/ (- z t) (- a t))
5.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
16.0ms	(* (- y x) (/ (- z t) (- a t)))

series92.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
51.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
32.0ms	(* (- 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

prune91.0ms

Filtered

86 candidates to 128 candidates (-48.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	128	11	139

Merged error: 4.9b

Counts

139 → 11

regimes518.0ms

Accuracy

16.9% (6.1b remaining)

Error of 10.2b against oracle of 4.1b and baseline of 11.4b

bsearch64.0ms

Steps

Iters	Range		Point
10	1.6707709994583929e-130	1.900734673036566e-116	7.743978491369776e-129
9	-2.2537110699773117e-149	-2.870047606722031e-155	-1.0093254695404121e-153

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms

sample961.0ms

Algorithm

intervals

Results

295.0ms	7860×	body	80	valid
67.0ms	483×	body	640	valid
50.0ms	276×	body	1280	valid
41.0ms	391×	body	320	valid
18.0ms	251×	body	160	valid
3.0ms	13×	body	2560	valid

Details

sample38.0ms

simplify61.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series91.0ms

simplify51.0ms

prune137.0ms

localize9.0ms

rewrite79.0ms

series102.0ms

simplify101.0ms

prune217.0ms

localize11.0ms

rewrite279.0ms

series156.0ms

simplify167.0ms

prune434.0ms

localize9.0ms

rewrite34.0ms

series92.0ms

simplify54.0ms

prune91.0ms

regimes518.0ms

bsearch64.0ms

simplify1.0ms

end0.0ms

sample961.0ms

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