Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.4b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `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` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

7.0ms	(* 60.0 (- x y))
12.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series204.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* 60.0 (- x y))
115.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
60.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5002	361

prune171.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 205

Calls

3 calls:

11.0ms	(/ (- z t) (- x y))
28.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series465.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- z t) (- x y))
148.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
269.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	727	1908
1	3212	1851
2	5001	1849

prune515.0ms

Filtered

214 candidates to 145 candidates (67.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	214	5	219

Merged error: 0.0b

Counts

219 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
0.3b	(* (/ 60.0 (- z t)) (- x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
11.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
15.0ms	(* (/ 60.0 (- z t)) (- x y))

series459.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 60.0 (- z t))
148.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
271.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	446	649
1	1793	601
2	5001	601

prune270.0ms

Filtered

111 candidates to 79 candidates (71.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y))) (* a 120.0))
0.2b	(/ (sqrt 60.0) (- z t))
0.3b	(* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y)))
0.3b	(* (/ (sqrt 60.0) (- z t)) (- x y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
82×	`*-un-lft-identity`
80×	`times-frac`
58×	`associate-l`
54×	`add-cube-cbrt`
43×	`sqrt-prod`
41×	`add-exp-log`
32×	`add-cbrt-cube`
18×	`distribute-rgt-in` `distribute-lft-in`
17×	`prod-exp`
14×	`distribute-lft-out--` `difference-of-squares`
12×	`cbrt-unprod`
11×	`pow1` `frac-times` `associate-*r/` `div-exp`
10×	`sub-neg`
8×	`associate-+l+` `flip3--` `flip--`
7×	`cbrt-undiv`
6×	`associate-r` `associate-/l*` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-*l/` `associate-/r/`
3×	`1-exp` `div-inv` `unswap-sqr`
2×	`*-commutative`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+`

Counts

4 → 207

Calls

4 calls:

21.0ms	(+ (* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y))) (* a 120.0))
7.0ms	(/ (sqrt 60.0) (- z t))
18.0ms	(* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y)))
16.0ms	(* (/ (sqrt 60.0) (- z t)) (- x y))

series1.4s

Counts

4 → 12

Calls

4 calls:

446.0ms	(+ (* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y))) (* a 120.0))
72.0ms	(/ (sqrt 60.0) (- z t))
549.0ms	(* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y)))
359.0ms	(* (/ (sqrt 60.0) (- z t)) (- x y))

simplify109.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	809	1810
1	3982	1551
2	5001	1485

prune570.0ms

Filtered

219 candidates to 133 candidates (60.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	219	5	224

Merged error: 0.0b

Counts

224 → 5

regimes283.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample612.0ms

Algorithm

intervals

Results

308.0ms	8566×	body	80	valid
8.0ms	52×	body	1280	valid
5.0ms	39×	body	640	valid
4.0ms	19×	body	2560	valid
1.0ms	14×	body	320	valid
1.0ms	12×	body	160	valid

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6