Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	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	(* a (+ (+ b c) d))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

40.0ms

(* a (+ (+ b c) d))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* a (+ (+ b c) d))

simplify104.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	151	122
1	779	108
2	4782	108
3	5001	108

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d a (fma a b (* a c)))
0.0b	(fma a b (* a c))

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 d a (fma a b (* a c)))
0.0ms	(fma a b (* a c))

series69.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma d a (fma a b (* a c)))
37.0ms	(fma a b (* a c))

simplify31.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	43	98
1	149	86
2	790	86
3	5001	86

prune74.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.3b	(* a (sqrt (+ (+ b c) d)))
0.3b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

18.0ms	(sqrt (+ (+ b c) d))
19.0ms	(sqrt (+ (+ b c) d))
36.0ms	(* a (sqrt (+ (+ b c) d)))
70.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (+ (+ b c) d))
51.0ms	(sqrt (+ (+ b c) d))
72.0ms	(* a (sqrt (+ (+ b c) d)))
67.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify48.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	369	775
1	1502	669
2	5002	642

prune228.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.7b	(* a (- (* (+ b c) (+ b c)) (* d d)))
6.1b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-diff` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

9.0ms	(- (* (+ b c) (+ b c)) (* d d))
16.0ms	(* (+ b c) (+ b c))
31.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
34.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series304.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* (+ b c) (+ b c)) (* d d))
14.0ms	(* (+ b c) (+ b c))
126.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
102.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify88.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	551	1054
1	2922	921
2	5001	909

prune253.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes168.0ms

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	12	3
1	12	3

end0.0ms

sample530.0ms

Algorithm

intervals

Results

180.0ms	8000×	pre	80	true
153.0ms	8000×	body	80	valid