Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	242×	body	80	nan
14.0ms	256×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x y) (* x z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
105.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify124.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 20.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.8b	(+ (* x (+ y z)) (* y z))
19.4b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `sqrt-prod` `flip-+` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

9.0ms	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* y z))
11.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* x (+ y z))
20.0ms	(+ (* x (+ y z)) (* y z))
106.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	295	351
1	1251	325
2	5002	321

prune172.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 20.5b

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* x (+ y z)) (* y z))
1.8b	(+ (* x (+ y z)) (* y z))
19.4b	(sqrt (+ (* x (+ y z)) (* y z)))
19.4b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `fma-def` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 66

Calls

4 calls:

5.0ms	(+ (* x (+ y z)) (* y z))
5.0ms	(+ (* x (+ y z)) (* y z))
7.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
7.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x (+ y z)) (* y z))
20.0ms	(+ (* x (+ y z)) (* y z))
107.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
116.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	201	528
1	674	486
2	2998	480
3	5001	476

prune275.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 20.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
1.8b	(+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z))
19.4b	(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`cbrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
7×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`sqrt-prod`
2×	`flip3-+` `sqrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+`
1×	`+-commutative` `pow2` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow-plus` `pow1/2` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

0.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))
22.0ms	(+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z))
42.0ms	(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
205.0ms	(* (cbrt x) (cbrt x))
57.0ms	(+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z))
146.0ms	(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	343	725
1	1462	635
2	5001	603

prune300.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 20.5b

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 20.4b against oracle of 20.4b and baseline of 20.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

459.0ms	8000×	body	80	valid
453.0ms	8066×	body	80	nan