Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize14.0ms

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))
21.4b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

30.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms	(- (* (* z 2.0) z) (* y t))
19.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms	(- (* (* z 2.0) z) (* y t))
189.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	506	1970
1	2392	1402
2	5002	1401

prune233.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.9b

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))
7.3b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.6b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
71×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
55×	`prod-diff`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
10×	`div-inv`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `associate-/r/` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

33.0ms	(- 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))
19.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series359.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms	(- (* (* z 2.0) z) (* y t))
185.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
53.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify125.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	836	3783
1	3745	2919
2	5001	2916

prune444.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
5.3b	(/ (* t y) z)
7.3b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

11.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
3.0ms	(/ (* t y) z)
8.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series257.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
19.0ms	(/ (* t y) z)
168.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify73.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	529	1544
1	2548	983
2	5001	980

prune216.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
4.8b	(* t (/ y z))
7.3b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`prod-diff`
20×	`add-cbrt-cube`
14×	`times-frac`
13×	`associate-r`
9×	`associate-*r/` `prod-exp`
8×	`associate-/r/`
7×	`div-exp`
6×	`cbrt-unprod`
5×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `log1p-expm1-u`
2×	`1-exp` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 101

Calls

3 calls:

11.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
7.0ms	(* t (/ y z))
7.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

series259.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
19.0ms	(* t (/ y z))
171.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	586	1592
1	2813	1031
2	5002	1028

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes94.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	22	8
2	22	8

end0.0ms

sample488.0ms

Algorithm

intervals

Results

296.0ms

8000×

body

valid