Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	275×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	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

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))

rewrite88.0ms

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:

42.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
22.0ms	(* 60.0 (- x y))
22.0ms	(/ (* 60.0 (- x y)) (- z t))

series188.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
26.0ms	(* 60.0 (- x y))
52.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune174.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite86.0ms

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:

19.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
20.0ms	(/ (- x y) (- z t))
42.0ms	(* 60.0 (/ (- x y) (- z t)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
47.0ms	(/ (- x y) (- z t))
52.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune280.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.3b	(* 60.0 (/ 1 (/ (- z t) (- x y))))
0.4b	(/ 1 (/ (- z t) (- x y)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

25.0ms	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
22.0ms	(/ (- z t) (- x y))
69.0ms	(* 60.0 (/ 1 (/ (- z t) (- x y))))
24.0ms	(/ 1 (/ (- z t) (- x y)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
44.0ms	(/ (- z t) (- x y))
236.0ms	(* 60.0 (/ 1 (/ (- z t) (- x y))))
190.0ms	(/ 1 (/ (- z t) (- x y)))

simplify104.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	979	2862
1	4913	2569
2	5003	2568

prune707.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1 (/ 60.0 (/ (- z t) (- x y)))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite83.0ms

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:

25.0ms	(+ (* 1 (/ 60.0 (/ (- z t) (- x y)))) (* a 120.0))
21.0ms	(/ (- z t) (- x y))
26.0ms	(/ 60.0 (/ (- z t) (- x y)))

series416.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(+ (* 1 (/ 60.0 (/ (- z t) (- x y)))) (* a 120.0))
43.0ms	(/ (- z t) (- x y))
241.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	742	1924
1	3320	1863
2	5002	1861

prune518.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes350.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	6
1	22	6
2	22	6

end0.0ms

sample640.0ms

Algorithm

intervals

Results

264.0ms	8555×	body	80	valid
6.0ms	44×	body	1280	valid
6.0ms	33×	body	2560	valid
3.0ms	26×	body	640	valid
2.0ms	18×	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