Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

266×

body

valid

simplify45.0ms

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: 9.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

4.0ms	(- (* y z) x)
4.0ms	(- (* t z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series218.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* y z) x)
23.0ms	(- (* t z) x)
114.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
57.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	950
1	1413	884
2	5001	882

prune265.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.1b	(/ (- (* t z) x) (- (* y z) x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

4.0ms	(- (* t z) x)
11.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
26.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series314.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* t z) x)
84.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
145.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
61.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify84.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	633	2024
1	2917	1860
2	5002	1781

prune373.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.6b	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
23×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1`
4×	`flip3--` `associate-l` `prod-exp` `associate-/r/` `flip--` `distribute-lft-out`
3×	`flip3-+` `div-exp` `associate-/r` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `diff-log` `associate-*l/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative`

Counts

4 → 102

Calls

4 calls:

4.0ms	(- (* y z) x)
4.0ms	(- (* t z) x)
19.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series223.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* y z) x)
23.0ms	(- (* t z) x)
117.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
57.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	516	967
1	2245	878
2	5001	862

prune297.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.8b

localize23.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (- (* y z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (- (* y z) x))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))

series479.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (- (* y z) x))
118.0ms	(cbrt (- (* t z) x))
117.0ms	(cbrt (- (* t z) x))
126.0ms	(cbrt (- (* t z) x))

simplify106.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	245	464
1	599	436
2	1585	412
3	3798	408
4	5001	404

prune303.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.8b

regimes212.0ms

Accuracy

73% (1.9b remaining)

Error of 2.7b against oracle of 0.8b and baseline of 7.7b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	29
1	38	29

end0.0ms

sample536.0ms

Algorithm

intervals

Results

324.0ms

8339×

body

valid