Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

324×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	44	3
2	99	3
3	181	3
4	233	3
5	239	3
6	239	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`associate-r/` `associate-l/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

16.0ms

(* (+ x y) (+ z 1.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (+ x y) (+ z 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	277	192
1	1225	178
2	5001	178

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

22.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
2.0ms	(cbrt (+ z 1.0))
2.0ms	(cbrt (+ z 1.0))
2.0ms	(cbrt (+ z 1.0))

series377.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
92.0ms	(cbrt (+ z 1.0))
89.0ms	(cbrt (+ z 1.0))
89.0ms	(cbrt (+ z 1.0))

simplify152.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	318	818
1	1062	771
2	4757	694
3	5001	691

prune299.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
1.2b	(* (+ x y) (+ (pow z 3) (pow 1.0 3)))
13.5b	(/ (* (+ x y) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`flip3-+` `flip-+`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `associate-r`
8×	`frac-times` `associate-/l/` `add-log-exp`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1`
4×	`unpow-prod-down` `cube-prod` `associate-r/` `associate-l` `associate-l/`
3×	`expm1-log1p-u` `associate-+r+` `times-frac` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sum-log` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `distribute-lft-in` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `sum-cubes` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

7.0ms	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
59.0ms	(* (+ x y) (+ (pow z 3) (pow 1.0 3)))
31.0ms	(/ (* (+ x y) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

series253.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
100.0ms	(* (+ x y) (+ (pow z 3) (pow 1.0 3)))
132.0ms	(/ (* (+ x y) (+ (pow z 3) (pow 1.0 3))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

simplify83.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	558	915
1	3100	793
2	5001	776

prune308.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample412.0ms

Algorithm

intervals

Results

203.0ms	10102×	body	80	valid
0.0ms	2×	body	320	valid