Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	326×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	50	4
2	148	4
3	318	4
4	473	4
5	485	4
6	485	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

9.0ms	(* (+ d3 5.0) d1)
3.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
16.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series103.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (+ d3 5.0) d1)
39.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
38.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	291	330
1	1190	304
2	5002	294

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d3 (* d1 d2))
0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma d1 d3 (* d1 d2))
0.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma d1 d3 (* d1 d2))
43.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify31.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	789	89
3	5001	89

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (fma d1 d2 (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
9.0ms	(* (+ d3 5.0) d1)
2.0ms	(+ (fma d1 d2 (* (+ d3 5.0) d1)) (* d1 32.0))

series108.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
27.0ms	(* (+ d3 5.0) d1)
46.0ms	(+ (fma d1 d2 (* (+ d3 5.0) d1)) (* d1 32.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	220	269
1	816	245
2	4246	244
3	5001	241

prune144.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d3 5.0))
0.0b	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
0.2b	(* (sqrt (+ d3 5.0)) d1)
0.3b	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`sqrt-div`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `sum-log` `distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `hypot-def`

Counts

4 → 96

Calls

4 calls:

4.0ms	(sqrt (+ d3 5.0))
12.0ms	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
11.0ms	(* (sqrt (+ d3 5.0)) d1)
25.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

series180.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ d3 5.0))
36.0ms	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
82.0ms	(* (sqrt (+ d3 5.0)) d1)
30.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	447	745
1	1631	607
2	5002	594

prune252.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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	8	3
1	8	3

end0.0ms

sample499.0ms

Algorithm

intervals

Results

288.0ms	10162×	body	80	valid
2.0ms	20×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	160	valid