Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b	(* (* y 2.0) z)
0.6b	(- (* (* z 2.0) z) (* y t))
17.1b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

23.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms	(* (* y 2.0) z)
10.0ms	(- (* (* z 2.0) z) (* y t))
18.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
17.0ms	(* (* y 2.0) z)
40.0ms	(- (* (* z 2.0) z) (* y t))
185.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	346	636
1	1760	550
2	5001	550

prune190.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.6b	(- (* (* z 2.0) z) (* y t))
4.3b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.7b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite66.0ms

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:

23.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms	(- (* (* z 2.0) z) (* y t))
15.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series375.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
43.0ms	(- (* (* z 2.0) z) (* y t))
188.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (53.0ms)

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

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.4b

localize15.0ms

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)))
3.9b	(/ (* t y) z)
4.1b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite46.0ms

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:

4.0ms	(- (* 2.0 z) (/ (* t y) z))
24.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
3.0ms	(/ (* t y) z)
10.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series317.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* 2.0 z) (/ (* t y) z))
74.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
19.0ms	(/ (* t y) z)
179.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (48.0ms)

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

prune355.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

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	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))
5.2b	(* t (/ y z))

rewrite44.0ms

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:

3.0ms	(- (* 2.0 z) (* t (/ y z)))
20.0ms	(- x (/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0)))
7.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))
8.0ms	(* t (/ y z))

series316.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* 2.0 z) (* t (/ y z)))
68.0ms	(- x (/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0)))
183.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))
20.0ms	(* t (/ y z))

simplify69.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (55.0ms)

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

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes87.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample823.0ms

Algorithm

intervals

Results

604.0ms

8000×

body

valid