Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

327×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
5.4b	(/ (* y (- z x)) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-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×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

4.0ms	(+ x (/ (* y (- z x)) t))
9.0ms	(* y (- z x))
6.0ms	(/ (* y (- z x)) t)

series119.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (/ (* y (- z x)) t))
38.0ms	(* y (- z x))
46.0ms	(/ (* y (- z x)) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune132.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (+ (* y z) (* y (- x))) t))
0.7b	(+ (* y z) (* y (- x)))
5.4b	(/ (+ (* y z) (* y (- x))) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
7×	`add-log-exp`
6×	`distribute-rgt-neg-out` `distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube`
4×	`div-sub` `associate-/l*`
3×	`pow1` `flip3-+` `unsub-neg` `associate-/r*` `flip-+`
2×	`+-commutative` `associate-+r-` `sum-log` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 63

Calls

3 calls:

11.0ms	(+ x (/ (+ (* y z) (* y (- x))) t))
2.0ms	(+ (* y z) (* y (- x)))
8.0ms	(/ (+ (* y z) (* y (- x))) t)

series123.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ (+ (* y z) (* y (- x))) t))
31.0ms	(+ (* y z) (* y (- x)))
53.0ms	(/ (+ (* y z) (* y (- x))) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	281	536
1	1062	465
2	5001	438

prune169.0ms

Filtered

72 candidates to 54 candidates (75.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t y) (- z x))))
0.6b	(/ 1 (/ (/ t y) (- z x)))
4.8b	(/ (/ t y) (- z x))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

79.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
24.0ms	(/ 1 (/ (/ t y) (- z x)))
9.0ms	(/ (/ t y) (- z x))

series132.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
65.0ms	(/ 1 (/ (/ t y) (- z x)))
35.0ms	(/ (/ t y) (- z x))

simplify70.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1412	4509
1	5001	3663

prune609.0ms

Filtered

434 candidates to 204 candidates (47.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.0b	(/ (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))) (/ (- z x) (/ (cbrt t) (cbrt y))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

3511×	`times-frac`
1689×	`add-sqr-sqrt` `*-un-lft-identity`
1209×	`add-cube-cbrt`
1089×	`cbrt-prod`
243×	`div-inv`
240×	`distribute-lft-out--` `difference-of-squares`
205×	`associate-/r*`
73×	`add-exp-log`
42×	`cbrt-undiv` `div-exp`
39×	`add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
7×	`associate-/r/`
5×	`associate-/l*`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 1310

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
66.0ms	(/ (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))) (/ (- z x) (/ (cbrt t) (cbrt y))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt t)
179.0ms	(cbrt t)
176.0ms	(cbrt t)
47.0ms	(/ (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))) (/ (- z x) (/ (cbrt t) (cbrt y))))

simplify256.0ms

Algorithm

egg-herbie

Counts

1322 → 1322

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5001	33662

prune5.0s

Filtered

1322 candidates to 1005 candidates (76.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

sample540.0ms

Algorithm

intervals

Results

282.0ms

10607×

body

valid