Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify33.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* (* z 2.0) z) (* y t))
21.7b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (* (* z 2.0) z) (* y t))
182.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	265	383
1	1370	314
2	5002	313

prune108.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.9b	(- (* (* z 2.0) z) (* y t))
5.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

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

series273.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* (* z 2.0) z) (* y t))
180.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	419	924
1	2101	814
2	5001	809

prune254.0ms

Filtered

97 candidates to 72 candidates (74.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.3b

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)
5.0b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
6.4b	(/ (* t y) z)

rewrite27.0ms

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

series278.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* 2.0 z) (/ (* t y) z))
49.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
170.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
20.0ms	(/ (* t y) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (47.0ms)

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

prune359.0ms

Filtered

145 candidates to 111 candidates (76.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

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)
4.3b	(* t (/ y z))
5.0b	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

rewrite27.0ms

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

series274.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* 2.0 z) (* t (/ y z)))
49.0ms	(/ (- (* 2.0 z) (* t (/ y z))) 2.0)
20.0ms	(* t (/ y z))
166.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (14.0ms)

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

prune378.0ms

Filtered

156 candidates to 120 candidates (76.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

regimes97.0ms

Accuracy

0% (1.6b remaining)

Error of 2.1b against oracle of 0.5b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample526.0ms

Algorithm

intervals

Results

317.0ms

8000×

body

valid