Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify39.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b	(- (* (* z 2.0) z) (* y t))
17.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

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:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms	(- (* (* z 2.0) z) (* y t))
13.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms	(- (* (* z 2.0) z) (* y t))
195.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

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

prune155.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b	(- (* (* z 2.0) z) (* y t))
5.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.2b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite36.0ms

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:

10.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
11.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series377.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms	(- (* (* z 2.0) z) (* y t))
196.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* 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

prune313.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
0.2b	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
4.8b	(/ (* t y) z)
5.4b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 133

Calls

4 calls:

4.0ms	(- (* 2.0 z) (/ (* t y) z))
7.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
4.0ms	(/ (* t y) z)
8.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series301.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* 2.0 z) (/ (* t y) z))
53.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
19.0ms	(/ (* t y) z)
184.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	531	1371
1	2400	1286
2	5002	1283

prune405.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (* t (/ y z)))
0.2b	(/ (- (* 2.0 z) (* t (/ y z))) 2.0)
5.4b	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))
6.1b	(* t (/ y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
67×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
13×	`associate-r`
7×	`div-inv`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
3×	`associate-l`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative`

Counts

4 → 144

Calls

4 calls:

3.0ms	(- (* 2.0 z) (* t (/ y z)))
6.0ms	(/ (- (* 2.0 z) (* t (/ y z))) 2.0)
7.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))
7.0ms	(* t (/ y z))

series311.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* 2.0 z) (* t (/ y z)))
59.0ms	(/ (- (* 2.0 z) (* t (/ y z))) 2.0)
187.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))
21.0ms	(* t (/ y z))

simplify75.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	587	1419
1	2680	1334
2	5001	1334

prune418.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes108.0ms

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample509.0ms

Algorithm

intervals

Results

309.0ms

8000×

body

valid