Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

335×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (+ x y) z) (* t 2.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

42.0ms

(/ (- (+ x y) z) (* t 2.0))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
0.2b	(/ z (* t 2.0))
0.2b	(/ (+ x y) (* t 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

67×	`times-frac`
66×	`*-un-lft-identity`
56×	`prod-diff`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
20×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out`
8×	`fma-neg`
7×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

3 → 135

Calls

3 calls:

34.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
3.0ms	(/ z (* t 2.0))
8.0ms	(/ (+ x y) (* t 2.0))

series90.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
18.0ms	(/ z (* t 2.0))
36.0ms	(/ (+ x y) (* t 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	512	1801
1	1740	1345
2	5001	1235

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z (* t 2.0))) (cbrt (/ z (* t 2.0))))
9.7b	(cbrt (/ z (* t 2.0)))
9.7b	(cbrt (/ z (* t 2.0)))
9.7b	(cbrt (/ z (* t 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

12.0ms	(* (cbrt (/ z (* t 2.0))) (cbrt (/ z (* t 2.0))))
2.0ms	(cbrt (/ z (* t 2.0)))
2.0ms	(cbrt (/ z (* t 2.0)))
2.0ms	(cbrt (/ z (* t 2.0)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (/ z (* t 2.0))) (cbrt (/ z (* t 2.0))))
88.0ms	(cbrt (/ z (* t 2.0)))
88.0ms	(cbrt (/ z (* t 2.0)))
90.0ms	(cbrt (/ z (* t 2.0)))

simplify111.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	227	881
1	788	822
2	4055	777
3	5001	772

prune388.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sqrt (+ x y)) t)
0.2b	(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))
0.2b	(/ z (* t 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`sqrt-prod`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*` `distribute-lft-out`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `sqrt-div` `clear-num` `div-inv` `associate-/l/`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `fma-udef`

Counts

3 → 80

Calls

3 calls:

11.0ms	(/ (sqrt (+ x y)) t)
0.0ms	(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))
3.0ms	(/ z (* t 2.0))

series232.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (sqrt (+ x y)) t)
168.0ms	(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))
18.0ms	(/ z (* t 2.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	317	557
1	952	504
2	3606	493
3	5001	493

prune227.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample773.0ms

Algorithm

intervals

Results

489.0ms

10927×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4