Details

sample26.0ms

Algorithm

intervals

Results

8.0ms

353×

body

valid

simplify48.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.3b	(/ (* y (- z t)) a)

rewrite50.0ms

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:

8.0ms	(- x (/ (* y (- z t)) a))
24.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) a)

series133.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- x (/ (* y (- z t)) a))
38.0ms	(* y (- z t))
47.0ms	(/ (* y (- z t)) a)

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

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

prune162.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))
6.8b	(/ y (/ a (- z t)))

rewrite78.0ms

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:

38.0ms	(- x (/ y (/ a (- z t))))
15.0ms	(/ a (- z t))
17.0ms	(/ y (/ a (- z t)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- x (/ y (/ a (- z t))))
28.0ms	(/ a (- z t))
56.0ms	(/ y (/ a (- z t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (51.0ms)

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

prune427.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (/ y a) (- z t)))
6.0b	(* (/ y a) (- z t))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

6.0ms	(- x (* (/ y a) (- z t)))
34.0ms	(* (/ y a) (- z t))

series104.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- x (* (/ y a) (- z t)))
56.0ms	(* (/ y a) (- z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	316	343
1	1221	313
2	5001	305

prune145.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.5b	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.8b	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
204.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
65.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- z t))
157.0ms	(cbrt (- z t))
58.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
104.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify82.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	818	2294
1	2640	2077
2	5001	2018

prune695.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes267.0ms

Accuracy

82.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample699.0ms

Algorithm

intervals

Results

272.0ms

10674×

body

valid