Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

282×

body

valid

simplify58.0ms

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: 0.4b

localize9.0ms

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))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite44.0ms

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:

23.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
10.0ms	(* 60.0 (- x y))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series207.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
29.0ms	(* 60.0 (- x y))
59.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune172.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite50.0ms

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))
11.0ms	(/ (- x y) (- z t))
25.0ms	(* 60.0 (/ (- x y) (- z t)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
48.0ms	(/ (- x y) (- z t))
60.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune286.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))
0.7b	(/ 60.0 (/ (- z t) (- x y)))

rewrite117.0ms

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:

79.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
11.0ms	(/ (- z t) (- x y))
15.0ms	(/ 60.0 (/ (- z t) (- x y)))

series472.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
49.0ms	(/ (- z t) (- x y))
276.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (64.0ms)

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

prune521.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 60.0 (- x y))
3.0b	(- (* z z) (* t t))
13.4b	(/ (* 60.0 (- x y)) (- (* z z) (* t t)))
14.8b	(* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `times-frac`
6×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--` `difference-of-squares`
4×	`cbrt-undiv` `div-exp` `associate-/r*` `associate-/r/`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`frac-times` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `associate-l/` `clear-num` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* 60.0 (- x y))
3.0ms	(- (* z z) (* t t))
12.0ms	(/ (* 60.0 (- x y)) (- (* z z) (* t t)))
32.0ms	(* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t))

series271.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 60.0 (- x y))
31.0ms	(- (* z z) (* t t))
80.0ms	(/ (* 60.0 (- x y)) (- (* z z) (* t t)))
128.0ms	(* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t))

simplify83.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	560	829
1	3113	698
2	5001	698

prune281.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes275.0ms

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	16	6
1	16	6

end0.0ms

sample558.0ms

Algorithm

intervals

Results

290.0ms	8568×	body	80	valid
6.0ms	38×	body	1280	valid
4.0ms	31×	body	640	valid
2.0ms	12×	body	2560	valid
2.0ms	21×	body	320	valid
0.0ms	8×	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