Details

sample31.0ms

Algorithm

intervals

Results

17.0ms	281×	body	80	valid
1.0ms	3×	body	2560	valid

simplify59.0ms

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

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))
0.4b	(/ (* 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:

21.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
13.0ms	(* 60.0 (- x y))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series210.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
30.0ms	(* 60.0 (- x y))
62.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune182.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))
0.3b	(/ 60.0 (/ (- z t) (- x y)))

rewrite111.0ms

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))
10.0ms	(/ (- z t) (- x y))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series479.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
52.0ms	(/ (- z t) (- x y))
279.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (63.0ms)

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

prune592.0ms

Pruning

4 alts after pruning (4 fresh and 0 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	(/ 60.0 (- z t))
0.3b	(* (/ 60.0 (- z t)) (- x y))

rewrite44.0ms

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:

9.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
5.0ms	(/ 60.0 (- z t))
26.0ms	(* (/ 60.0 (- z t)) (- x y))

series476.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
47.0ms	(/ 60.0 (- z t))
279.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (12.0ms)

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

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

230×	`times-frac`
203×	`add-sqr-sqrt` `*-un-lft-identity`
124×	`unpow-prod-down`
99×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-/r*`
13×	`add-exp-log`
10×	`associate-/r/`
8×	`associate-/l*`
7×	`add-cbrt-cube`
6×	`flip3--` `div-exp` `flip--` `div-inv`
5×	`add-log-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `pow-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 221

Calls

3 calls:

124.0ms	(+ (/ 60.0 (pow (/ (- z t) (- x y)) 1)) (* a 120.0))
14.0ms	(/ (- z t) (- x y))
27.0ms	(/ 60.0 (pow (/ (- z t) (- x y)) 1))

series483.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(+ (/ 60.0 (pow (/ (- z t) (- x y)) 1)) (* a 120.0))
54.0ms	(/ (- z t) (- x y))
280.0ms	(/ 60.0 (pow (/ (- z t) (- x y)) 1))

simplify84.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	742	2335
1	3012	2037
2	5002	2011

prune583.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

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

sample856.0ms

Algorithm

intervals

Results

546.0ms	8551×	body	80	valid
13.0ms	48×	body	1280	valid
9.0ms	26×	body	2560	valid
9.0ms	38×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	10×	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