Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	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

Filtered

1 candidates to 0 candidates (100.0%)

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

localize9.0ms

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))

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:

8.0ms	(* (- 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))
50.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
34.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

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

prune181.0ms

Filtered

90 candidates to 67 candidates (25.6%)

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))))

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))
14.0ms	(/ (- y x) (/ (- a t) (- z t)))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series100.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
43.0ms	(/ (- y x) (/ (- a t) (- z t)))
47.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify102.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

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

prune222.0ms

Filtered

283 candidates to 172 candidates (39.2%)

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

localize11.0ms

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))))

rewrite32.0ms

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))
16.0ms	(* (- 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))
32.0ms	(* (- y x) (/ (- z t) (- a t)))
52.0ms	(+ 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

prune124.0ms

Filtered

128 candidates to 87 candidates (32.0%)

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))))

rewrite264.0ms

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))
36.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
15.0ms	(/ (/ (- a t) (- z t)) (- y x))
112.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- a t) (- z t))
50.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
48.0ms	(/ (/ (- a t) (- z t)) (- y x))
54.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify171.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2354	13201
1	5001	11832

prune387.0ms

Filtered

958 candidates to 358 candidates (62.6%)

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

regimes481.0ms

Accuracy

17.4% (6.2b remaining)

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

bsearch64.0ms

Steps

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

293.0ms	7766×	body	80	valid
69.0ms	473×	body	640	valid
52.0ms	433×	body	320	valid
48.0ms	265×	body	1280	valid
19.0ms	263×	body	160	valid
4.0ms	20×	body	2560	valid

Details

sample36.0ms

simplify60.0ms

prune4.0ms

localize9.0ms

rewrite30.0ms

series92.0ms

simplify52.0ms

prune181.0ms

localize9.0ms

rewrite81.0ms

series100.0ms

simplify102.0ms

prune222.0ms

localize11.0ms

rewrite32.0ms

series94.0ms

simplify54.0ms

prune124.0ms

localize10.0ms

rewrite264.0ms

series161.0ms

simplify171.0ms

prune387.0ms

regimes481.0ms

bsearch64.0ms

simplify2.0ms

end0.0ms

sample1.0s

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