Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

352×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.6b	(/ (* y (- z t)) a)

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 t)) a))
9.0ms	(* y (- z t))
6.0ms	(/ (* y (- z t)) a)

series135.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (/ (* y (- z t)) a))
35.0ms	(* y (- z t))
50.0ms	(/ (* y (- z t)) a)

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	297	325
1	1236	280
2	5001	280

prune144.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (+ (* y z) (* y (- t))) a))
0.0b	(+ (* y z) (* y (- t)))
5.6b	(/ (+ (* y z) (* y (- t))) a)

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:

10.0ms	(+ x (/ (+ (* y z) (* y (- t))) a))
2.0ms	(+ (* y z) (* y (- t)))
9.0ms	(/ (+ (* y z) (* y (- t))) a)

series139.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ x (/ (+ (* y z) (* y (- t))) a))
33.0ms	(+ (* y z) (* y (- t)))
56.0ms	(/ (+ (* y z) (* y (- t))) a)

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	282	536
1	1066	465
2	5001	442

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ a y) (- z t))))
0.2b	(/ 1 (/ (/ a y) (- z t)))
8.2b	(/ (/ a y) (- z t))

rewrite147.0ms

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:

80.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
24.0ms	(/ 1 (/ (/ a y) (- z t)))
9.0ms	(/ (/ a y) (- z t))

series137.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
55.0ms	(/ 1 (/ (/ a y) (- z t)))
37.0ms	(/ (/ a y) (- z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1427	4509
1	5001	3663

prune714.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
0.7b	(/ (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt a) (cbrt y))))

rewrite223.0ms

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 a)
0.0ms	(cbrt a)
1.0ms	(cbrt a)
67.0ms	(/ (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt a) (cbrt y))))

series790.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt a)
390.0ms	(cbrt a)
182.0ms	(cbrt a)
38.0ms	(/ (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt a) (cbrt y))))

simplify278.0ms

Algorithm

egg-herbie

Counts

1322 → 1322

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5001	33662

prune5.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample628.0ms

Algorithm

intervals

Results

294.0ms

10801×

body

valid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4