Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

270×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
25×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `diff-log`

Counts

3 → 85

Calls

3 calls:

3.0ms	(- (* t z) x)
58.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series206.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (* t z) x)
122.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
60.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	380	891
1	1345	830
2	5001	829

prune256.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
8.2b	(/ (- (* y z) x) (- (* t z) x))
8.2b	(/ (- (* y z) x) (- (* t z) x))
8.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
43×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/` `distribute-lft-out`
6×	`flip3--` `flip--` `associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 127

Calls

4 calls:

19.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
11.0ms	(/ (- (* y z) x) (- (* t z) x))
14.0ms	(/ (- (* y z) x) (- (* t z) x))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series446.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
60.0ms	(/ (- (* y z) x) (- (* t z) x))
55.0ms	(/ (- (* y z) x) (- (* t z) x))
61.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify145.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	339	1423
1	1042	1332
2	4542	1321
3	5002	1316

prune741.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))) (+ x 1.0))
0.2b	(pow (/ (- (* y z) x) (- (* t z) x)) 3)
8.2b	(/ (- (* y z) x) (- (* t z) x))
12.6b	(cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
61×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
12×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out`
7×	`associate-/r` `associate-/l`
6×	`flip3--` `flip--` `div-inv`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-exp`
2×	`cube-div` `cube-mult` `frac-2neg` `flip3-+` `unpow3` `pow-exp` `clear-num` `flip-+` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `div-sub` `rem-cbrt-cube`

Counts

4 → 168

Calls

4 calls:

131.0ms	(/ (+ x (cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))) (+ x 1.0))
11.0ms	(pow (/ (- (* y z) x) (- (* t z) x)) 3)
14.0ms	(/ (- (* y z) x) (- (* t z) x))
11.0ms	(cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))

series341.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ (+ x (cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))) (+ x 1.0))
102.0ms	(pow (/ (- (* y z) x) (- (* t z) x)) 3)
59.0ms	(/ (- (* y z) x) (- (* t z) x))
57.0ms	(cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	636	1987
1	2965	1823
2	5001	1811

prune438.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y t))
2.4b	(/ (+ x (/ y t)) (+ x 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(+ x (/ y t))
22.0ms	(/ (+ x (/ y t)) (+ x 1.0))

series57.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ x (/ y t))
40.0ms	(/ (+ x (/ y t)) (+ x 1.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	227	373
1	693	348
2	2231	348
3	5002	348

prune113.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes217.0ms

Accuracy

47.2% (3.5b remaining)

Error of 4.5b against oracle of 1.0b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	28
1	30	28

end0.0ms

sample539.0ms

Algorithm

intervals

Results

326.0ms

8336×

body

valid