Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

313×

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (8.0ms)

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

prune79.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	277	192
1	1228	178
2	5001	178

prune75.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (+ z 1.0) (+ x y))) (cbrt (* (+ z 1.0) (+ x y))))
0.5b	(cbrt (* (+ z 1.0) (+ x y)))
0.5b	(cbrt (* (+ z 1.0) (+ x y)))
0.5b	(cbrt (* (+ z 1.0) (+ x y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 170

Calls

4 calls:

9.0ms	(* (cbrt (* (+ z 1.0) (+ x y))) (cbrt (* (+ z 1.0) (+ x y))))
6.0ms	(cbrt (* (+ z 1.0) (+ x y)))
6.0ms	(cbrt (* (+ z 1.0) (+ x y)))
6.0ms	(cbrt (* (+ z 1.0) (+ x y)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (cbrt (* (+ z 1.0) (+ x y))) (cbrt (* (+ z 1.0) (+ x y))))
172.0ms	(cbrt (* (+ z 1.0) (+ x y)))
173.0ms	(cbrt (* (+ z 1.0) (+ x y)))
172.0ms	(cbrt (* (+ z 1.0) (+ x y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	645	3129
1	2053	3053
2	5003	3007

prune573.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x z (fma 1.0 x (* 1.0 y)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma x z (fma 1.0 x (* 1.0 y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	58
1	93	51
2	467	51
3	3255	51
4	5001	51

prune25.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

88.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.3b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	12
1	28	12

end0.0ms

sample395.0ms

Algorithm

intervals

Results

189.0ms	10076×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid