Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.4b	(- (* (* z 2.0) z) (* y t))
19.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

57.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
18.0ms	(- (* (* z 2.0) z) (* y t))
49.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
34.0ms	(- (* (* z 2.0) z) (* y t))
174.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune153.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.4b	(- (* (* z 2.0) z) (* y t))
4.4b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.5b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

43.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
19.0ms	(- (* (* z 2.0) z) (* y t))
34.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
48.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series347.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
40.0ms	(- (* (* z 2.0) z) (* y t))
176.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
49.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5002	988

prune303.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
0.0b	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
4.2b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
7.0b	(/ (* t y) z)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
57×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l*`
3×	`difference-of-squares`
2×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--`
1×	`prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 119

Calls

4 calls:

10.0ms	(- (* 2.0 z) (/ (* t y) z))
36.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
18.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
10.0ms	(/ (* t y) z)

series284.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* 2.0 z) (/ (* t y) z))
67.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
163.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
19.0ms	(/ (* t y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	551	1284
1	2310	1219
2	5001	1218

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (* t (/ y z)))
0.0b	(- x (/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0)))
4.1b	(* t (/ y z))
4.2b	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
68×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-/r*`
8×	`add-log-exp`
6×	`pow1` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`associate-l` `associate-/l*` `difference-of-squares`
2×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r/` `-commutative` `distribute-lft-out--`

Counts

4 → 130

Calls

4 calls:

8.0ms	(- (* 2.0 z) (* t (/ y z)))
31.0ms	(- x (/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0)))
13.0ms	(* t (/ y z))
14.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

series289.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* 2.0 z) (* t (/ y z)))
68.0ms	(- x (/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0)))
17.0ms	(* t (/ y z))
166.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	606	1332
1	2605	1267
2	5002	1266

prune371.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (1.8b remaining)

Error of 2.4b against oracle of 0.6b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample569.0ms

Algorithm

intervals

Results

291.0ms

8000×

body

valid