Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.196289%

Guaranteed chance to sample good point: 35.739437%

Results

8.0ms	209×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	31×	body	80	invalid
1.0ms	10×	body	160	valid

simplify63.0ms

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: 22.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.2b	(+ x (/ (* (- y x) (- z t)) (- a t)))
14.3b	(/ (* (- 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)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series100.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (- y x) (- z t))
52.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
37.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify53.0ms

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

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: 3.1b

Counts

91 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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

series105.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify102.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (21.0ms)

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

prune248.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	279	4	283
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	283	11	294

Merged error: 3.1b

Counts

294 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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))))
19.0ms	(* (- y x) (/ (- z t) (- a t)))

series118.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
75.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
33.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

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

prune131.0ms

Filtered

86 candidates to 128 candidates (-48.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	128	11	139

Merged error: 3.1b

Counts

139 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.3b	(* (- y x) (* (- z t) (/ 1 (- a t))))
3.7b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ 1 (- a t))
12.0ms	(* (- z t) (/ 1 (- a t)))
14.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1 (- a t))
10.0ms	(* (- z t) (/ 1 (- a t)))
33.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
54.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	586	1025
1	2802	908
2	5003	863

prune145.0ms

Filtered

97 candidates to 158 candidates (-62.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	158	11	169

Merged error: 3.1b

Counts

169 → 11

regimes500.0ms

Accuracy

18.8% (6.1b remaining)

Error of 10.2b against oracle of 4.0b and baseline of 11.6b

bsearch105.0ms

Steps

Iters	Range		Point
8	1.0973958711167043e-176	1.3036380129092146e-173	7.107010271615049e-176
9	-1.2607373773682447e-163	-3.4676957049241393e-172	-9.486698640987322e-170

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.196289%

Guaranteed chance to sample good point: 35.739437%

Results

277.0ms	6566×	body	80	valid
85.0ms	499×	body	640	valid
49.0ms	405×	body	320	valid
48.0ms	268×	body	1280	valid
42.0ms	1070×	body	80	invalid
18.0ms	248×	body	160	valid
3.0ms	14×	body	2560	valid

Details

sample2.8s

simplify63.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series100.0ms

simplify53.0ms

prune148.0ms

localize9.0ms

rewrite81.0ms

series105.0ms

simplify102.0ms

prune248.0ms

localize9.0ms

rewrite35.0ms

series118.0ms

simplify53.0ms

prune131.0ms

localize14.0ms

rewrite41.0ms

series102.0ms

simplify73.0ms

prune145.0ms

regimes500.0ms

bsearch105.0ms

simplify2.0ms

end0.0ms

sample3.8s

Profiling