Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

284×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (* y (/ (- z t) (- z a))))
2.3b	(* y (/ (- z t) (- z a)))

rewrite43.0ms

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:

13.0ms	(/ (- z t) (- z a))
2.0ms	(+ x (* y (/ (- z t) (- z a))))
23.0ms	(* y (/ (- z t) (- z a)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- z t) (- z a))
73.0ms	(+ x (* y (/ (- z t) (- z a))))
60.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune270.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
2.3b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite102.0ms

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:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
10.0ms	(/ (- z a) (- z t))
14.0ms	(/ 1 (/ (- z a) (- z t)))
51.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
45.0ms	(/ (- z a) (- z t))
91.0ms	(/ 1 (/ (- z a) (- z t)))
113.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify104.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	954	2833
1	4775	2544
2	5002	2258

prune665.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
2.2b	(/ y (/ (- z a) (- z t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
196×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
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-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

2.0ms	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
10.0ms	(/ (- z a) (- z t))
17.0ms	(/ y (/ (- z a) (- z t)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
46.0ms	(/ (- z a) (- z t))
111.0ms	(/ y (/ (- z a) (- z t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	719	1900
1	3219	1841
2	5001	1839

prune532.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
4.3b	(cbrt (/ (- z t) (- z a)))
4.3b	(cbrt (/ (- z t) (- z a)))
4.3b	(cbrt (/ (- z t) (- z a)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

47.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
5.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))
5.0ms	(cbrt (/ (- z t) (- z a)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
129.0ms	(cbrt (/ (- z t) (- z a)))
134.0ms	(cbrt (/ (- z t) (- z a)))
128.0ms	(cbrt (/ (- z t) (- z a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	301	1464
1	651	1394
2	1651	1384
3	5001	1364

prune483.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	18	5
2	18	5

end0.0ms

sample778.0ms

Algorithm

intervals

Results

505.0ms

8769×

body

valid