Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

279×

body

valid

simplify60.0ms

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: 1.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite76.0ms

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:

6.0ms	(+ x (* y (/ (- z t) (- z a))))
21.0ms	(/ (- z t) (- z a))
43.0ms	(* y (/ (- z t) (- z a)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
70.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune259.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))
2.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite148.0ms

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:

5.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
23.0ms	(/ (- z a) (- z t))
25.0ms	(/ 1 (/ (- z a) (- z t)))
73.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
46.0ms	(/ (- z a) (- z t))
94.0ms	(/ 1 (/ (- z a) (- z t)))
118.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify103.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (79.0ms)

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

prune590.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
0.0b	(/ (- z a) (- z t))
2.7b	(/ y (/ (- z a) (- z t)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-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:

118.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
23.0ms	(/ (- z a) (- z t))
23.0ms	(/ y (/ (- z a) (- z t)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
46.0ms	(/ (- z a) (- z t))
116.0ms	(/ y (/ (- z a) (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	707	1896
1	3150	1838
2	5001	1836

prune516.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z t)) (/ a (- z t)))
0.0b	(/ a (- z t))
0.0b	(/ z (- z t))
2.7b	(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
174×	`times-frac`
153×	`add-sqr-sqrt`
68×	`distribute-lft-out--`
57×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`associate-/r*` `associate-/r/`
15×	`distribute-rgt-out--`
14×	`flip3--` `flip--`
13×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 194

Calls

4 calls:

76.0ms	(- (/ z (- z t)) (/ a (- z t)))
11.0ms	(/ a (- z t))
10.0ms	(/ z (- z t))
106.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (/ z (- z t)) (/ a (- z t)))
31.0ms	(/ a (- z t))
43.0ms	(/ z (- z t))
109.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	505	1604
1	1882	1554
2	5001	1538

prune567.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample586.0ms

Algorithm

intervals

Results

241.0ms	8719×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid