Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

5.0ms	(+ (+ b c) d)
8.0ms	(* a (+ (+ b c) d))

series45.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ b c) d)
26.0ms	(* a (+ (+ b c) d))

simplify29.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	179
1	861	160
2	5001	160

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `add-log-exp`
7×	`sqrt-prod`
6×	`associate-r/` `associate-r*` `distribute-lft-out`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `sum-log` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l+`

Counts

3 → 70

Calls

3 calls:

8.0ms	(+ (+ b c) d)
9.0ms	(* (sqrt a) (+ (+ b c) d))
11.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (+ b c) d)
95.0ms	(* (sqrt a) (+ (+ b c) d))
53.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	288	418
1	1420	355
2	5003	355

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt a) (+ (+ b c) d))
0.3b	(* (sqrt a) (+ (+ b c) d))
0.3b	(* (sqrt a) (* (sqrt (* (sqrt a) (+ (+ b c) d))) (sqrt (* (sqrt a) (+ (+ b c) d)))))
0.5b	(* (sqrt (* (sqrt a) (+ (+ b c) d))) (sqrt (* (sqrt a) (+ (+ b c) d))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1`
40×	`sqrt-pow1` `associate-*r/`
39×	`pow-prod-down`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`sqrt-div`
22×	`associate-l`
16×	`add-cube-cbrt` `sqrt-prod`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
14×	`flip3-+` `flip-+`
13×	`pow1/2`
10×	`pow-prod-up`
8×	`frac-times`
7×	`unswap-sqr`
6×	`prod-exp` `pow-sqr` `cbrt-unprod` `distribute-lft-out`
4×	`swap-sqr` `associate-l/` `-commutative` `add-log-exp`
3×	`sqrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 150

Calls

4 calls:

9.0ms	(* (sqrt a) (+ (+ b c) d))
9.0ms	(* (sqrt a) (+ (+ b c) d))
29.0ms	(* (sqrt a) (* (sqrt (* (sqrt a) (+ (+ b c) d))) (sqrt (* (sqrt a) (+ (+ b c) d)))))
18.0ms	(* (sqrt (* (sqrt a) (+ (+ b c) d))) (sqrt (* (sqrt a) (+ (+ b c) d))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (sqrt a) (+ (+ b c) d))
94.0ms	(* (sqrt a) (+ (+ b c) d))
122.0ms	(* (sqrt a) (* (sqrt (* (sqrt a) (+ (+ b c) d))) (sqrt (* (sqrt a) (+ (+ b c) d)))))
270.0ms	(* (sqrt (* (sqrt a) (+ (+ b c) d))) (sqrt (* (sqrt a) (+ (+ b c) d))))

simplify79.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	413	1204
1	2153	1038
2	5001	995

prune322.0ms

Pruning

3 alts after pruning (1 fresh and 2 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))
0.4b	(* a (- (* (+ b c) (+ b c)) (* d d)))
5.5b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite51.0ms

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`
8×	`distribute-rgt-in` `distribute-lft-in` `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×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `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` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

8.0ms	(- (* (+ b c) (+ b c)) (* d d))
8.0ms	(* (+ b c) (+ b c))
15.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
17.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series311.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* (+ b c) (+ b c)) (* d d))
18.0ms	(* (+ b c) (+ b c))
127.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
108.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify83.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	522	976
1	2747	841
2	5001	837

prune226.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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

sample544.0ms

Algorithm

intervals

Results

193.0ms	8000×	pre	80	true
154.0ms	8000×	body	80	valid