Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	272×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify72.0ms

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: 0.1b

localize10.0ms

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))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite46.0ms

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:

25.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
10.0ms	(* 60.0 (- x y))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series213.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
37.0ms	(* 60.0 (- x y))
57.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify59.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (14.0ms)

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

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite53.0ms

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:

8.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
10.0ms	(/ (- x y) (- z t))
25.0ms	(* 60.0 (/ (- x y) (- z t)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
54.0ms	(/ (- x y) (- z t))
57.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (18.0ms)

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

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

5.0ms	(/ y (- z t))
51.0ms	(- (/ x (- z t)) (/ y (- z t)))
45.0ms	(+ (* 60.0 (- (/ x (- z t)) (/ y (- z t)))) (* a 120.0))
150.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

series413.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ y (- z t))
112.0ms	(- (/ x (- z t)) (/ y (- z t)))
138.0ms	(+ (* 60.0 (- (/ x (- z t)) (/ y (- z t)))) (* a 120.0))
128.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

simplify65.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	471	890
1	1717	834
2	5001	834

prune328.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite115.0ms

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:

73.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
11.0ms	(/ (- z t) (- x y))
19.0ms	(/ 60.0 (/ (- z t) (- x y)))

series532.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
60.0ms	(/ (- z t) (- x y))
270.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (80.0ms)

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

prune549.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes318.0ms

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

sample559.0ms

Algorithm

intervals

Results

285.0ms	8491×	body	80	valid
6.0ms	39×	body	1280	valid
5.0ms	28×	body	2560	valid
4.0ms	33×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	15×	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