Details

sample34.0ms

Algorithm

intervals

Results

23.0ms

270×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 7.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
0.0b	(- (* t z) x)
10.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite76.0ms

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:

3.0ms	(- (* y z) x)
57.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
3.0ms	(- (* t z) x)
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series205.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* y z) x)
108.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
24.0ms	(- (* t z) x)
52.0ms	(/ (- (* 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

prune272.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.0b	(- (* t z) x)
0.2b	(/ 1 (- (* t z) x))
10.4b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

11.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
3.0ms	(- (* t z) x)
6.0ms	(/ 1 (- (* t z) x))
24.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
25.0ms	(- (* t z) x)
22.0ms	(/ 1 (- (* t z) x))
55.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	468	1138
1	2109	1017
2	5003	986

prune282.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ (/ (- (* y z) x) (- (* t z) x)) x) (+ x 1.0))
0.0b	(- (* t z) x)
10.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite108.0ms

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-+l-`

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* y z) x)
89.0ms	(/ (+ (/ (- (* y z) x) (- (* t z) x)) x) (+ x 1.0))
3.0ms	(- (* t z) x)
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series270.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* y z) x)
172.0ms	(/ (+ (/ (- (* y z) x) (- (* t z) x)) x) (+ x 1.0))
23.0ms	(- (* t z) x)
54.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	420	970
1	1414	904
2	5002	898

prune267.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.1b	(/ (/ (* y z) (- (* t z) x)) (+ x 1.0))
3.1b	(/ x (- (* t z) x))
11.4b	(/ (* y z) (- (* t z) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
54×	`*-un-lft-identity`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r/`
13×	`associate-/l*`
10×	`associate-/r*` `distribute-lft-out`
8×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `div-inv`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `associate-/l/`

Counts

4 → 132

Calls

4 calls:

3.0ms	(- (* t z) x)
15.0ms	(/ (/ (* y z) (- (* t z) x)) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
7.0ms	(/ (* y z) (- (* t z) x))

series298.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* t z) x)
188.0ms	(/ (/ (* y z) (- (* t z) x)) (+ x 1.0))
54.0ms	(/ x (- (* t z) x))
34.0ms	(/ (* y z) (- (* t z) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	580	1200
1	2737	1095
2	5001	1095

prune378.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	14
1	25	14
2	25	14

end0.0ms

sample874.0ms

Algorithm

intervals

Results

663.0ms

8364×

body

valid