Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

349×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.1b	(/ (* y (- z t)) a)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

4.0ms	(- x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series139.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- x (/ (* y (- z t)) a))
36.0ms	(* y (- z t))
52.0ms	(/ (* y (- z t)) a)

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune157.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ a (* y (- z t)))))
0.0b	(* y (- z t))
0.4b	(/ 1 (/ a (* y (- z t))))
6.1b	(/ a (* y (- z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
37×	`add-sqr-sqrt`
32×	`add-exp-log` `*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
4×	`difference-of-squares`
3×	`sub-neg` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num`
1×	`pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

12.0ms	(- x (/ 1 (/ a (* y (- z t)))))
7.0ms	(* y (- z t))
9.0ms	(/ 1 (/ a (* y (- z t))))
7.0ms	(/ a (* y (- z t)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- x (/ 1 (/ a (* y (- z t)))))
38.0ms	(* y (- z t))
53.0ms	(/ 1 (/ a (* y (- z t))))
42.0ms	(/ a (* y (- z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	458	870
1	2084	724
2	5001	708

prune262.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- (/ y a)) (- z t)))
6.8b	(* (- (/ y a)) (- z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-l`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `times-frac`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-neg-frac`
2×	`frac-times` `flip3--` `associate-*r/` `flip--` `div-inv`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `associate-l/` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

3.0ms	(+ x (* (- (/ y a)) (- z t)))
15.0ms	(* (- (/ y a)) (- z t))

series118.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (- (/ y a)) (- z t)))
66.0ms	(* (- (/ y a)) (- z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	370	445
1	1450	419
2	5001	407

prune207.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (/ 1 a) (/ 1 (* y (- z t)))))
0.0b	(* y (- z t))
0.8b	(/ 1 (* y (- z t)))
5.6b	(/ (/ 1 a) (/ 1 (* y (- z t))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

257×	`times-frac`
122×	`add-sqr-sqrt`
111×	`*-un-lft-identity`
106×	`add-cube-cbrt`
100×	`add-exp-log`
62×	`div-exp`
32×	`associate-*r/` `add-cbrt-cube`
31×	`associate-/r/`
26×	`div-inv`
17×	`rec-exp` `flip3--` `1-exp` `flip--`
16×	`prod-exp` `associate-/l*`
15×	`cbrt-undiv`
10×	`associate-/r*`
9×	`pow1`
6×	`add-log-exp`
5×	`associate-r` `difference-of-squares`
4×	`cbrt-unprod`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `distribute-lft-out--`
1×	`diff-log` `*-commutative` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 258

Calls

4 calls:

38.0ms	(- x (/ (/ 1 a) (/ 1 (* y (- z t)))))
7.0ms	(* y (- z t))
7.0ms	(/ 1 (* y (- z t)))
15.0ms	(/ (/ 1 a) (/ 1 (* y (- z t))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- x (/ (/ 1 a) (/ 1 (* y (- z t)))))
36.0ms	(* y (- z t))
26.0ms	(/ 1 (* y (- z t)))
57.0ms	(/ (/ 1 a) (/ 1 (* y (- z t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1130	2387
1	5001	2041

prune464.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes380.0ms

Accuracy

86.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	18
1	41	18
2	44	18
3	44	18

end0.0ms

sample663.0ms

Algorithm

intervals

Results

345.0ms

10609×

body

valid