Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	268×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify65.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:

11.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series208.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
29.0ms	(* 60.0 (- x y))
60.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5001	361

prune190.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
16.0ms	(* 60.0 (/ (- x y) (- z t)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
52.0ms	(/ (- x y) (- z t))
57.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	448	775
1	1788	728
2	5002	728

prune312.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

6.0ms	(/ y (- z t))
5.0ms	(/ x (- z t))
25.0ms	(- (/ x (- z t)) (/ y (- z t)))
34.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ y (- z t))
28.0ms	(/ x (- z t))
109.0ms	(- (/ x (- z t)) (/ y (- z t)))
138.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	437	889
1	1562	838
2	5001	838

prune412.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:

27.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
8.0ms	(/ (- z t) (- x y))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series480.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
48.0ms	(/ (- z t) (- x y))
282.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (64.0ms)

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

prune548.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample595.0ms

Algorithm

intervals

Results

313.0ms	8535×	body	80	valid
8.0ms	50×	body	1280	valid
5.0ms	25×	body	2560	valid
4.0ms	27×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	11×	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