Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

357×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ (* y (- z t)) a))
8.0b	(/ (* y (- z t)) a)

rewrite22.0ms

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:

9.0ms	(* y (- z t))
4.0ms	(- x (/ (* y (- z t)) a))
7.0ms	(/ (* y (- z t)) a)

series132.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z t))
49.0ms	(- x (/ (* y (- z t)) a))
47.0ms	(/ (* 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

prune155.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.7b	(/ y (/ a (- z t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 155

Calls

3 calls:

29.0ms	(- x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
12.0ms	(/ y (/ a (- z t)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- x (/ y (/ a (- z t))))
27.0ms	(/ a (- z t))
55.0ms	(/ y (/ a (- z t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	551	1200
1	2371	1160
2	5001	1157

prune403.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ y a) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
5.0b	(/ (/ y a) (/ 1 (- z t)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
410×	`add-sqr-sqrt`
389×	`*-un-lft-identity`
293×	`add-cube-cbrt`
53×	`difference-of-squares`
47×	`distribute-lft-out--`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`flip3--` `flip--` `associate-/l*`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 392

Calls

3 calls:

87.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
6.0ms	(/ 1 (- z t))
20.0ms	(/ (/ y a) (/ 1 (- z t)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
39.0ms	(/ 1 (- z t))
51.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1735	4403
1	5001	4017

prune811.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
2.1b	(* (/ y a) (cbrt (- z t)))
3.1b	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (/ y a) (cbrt (- z t))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
37×	`associate-*r/`
31×	`add-sqr-sqrt`
30×	`add-exp-log` `associate-*l/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-l`
11×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
18.0ms	(* (/ y a) (cbrt (- z t)))
48.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (/ y a) (cbrt (- z t))))

series437.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- z t))
150.0ms	(cbrt (- z t))
98.0ms	(* (/ y a) (cbrt (- z t)))
40.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (/ y a) (cbrt (- z t))))

simplify71.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	808	2049
1	2392	1880
2	5002	1754

prune413.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes320.0ms

Accuracy

76.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	17
1	25	17

end0.0ms

sample605.0ms

Algorithm

intervals

Results

295.0ms

10803×

body

valid