Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	308×	body	80	valid
1.0ms	9×	body	320	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite75.0ms

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` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

75.0ms

(* d1 (+ (+ 3.0 d2) d3))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify83.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune46.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

31.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
8.0ms	(+ (* d1 3.0) (* d1 d2))

series69.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
35.0ms	(+ (* d1 3.0) (* d1 d2))

simplify105.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	187	191
1	787	163
2	3595	151
3	5001	151

prune68.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

130.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
18.0ms	(cbrt (+ (+ 3.0 d2) d3))
16.0ms	(cbrt (+ (+ 3.0 d2) d3))
15.0ms	(cbrt (+ (+ 3.0 d2) d3))

series359.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
91.0ms	(cbrt (+ (+ 3.0 d2) d3))
90.0ms	(cbrt (+ (+ 3.0 d2) d3))
90.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify127.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	304	1036
1	964	979
2	4398	875
3	5001	870

prune254.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.5b	(* (sqrt (cbrt (+ (+ 3.0 d2) d3))) (sqrt (cbrt (+ (+ 3.0 d2) d3))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
58×	`sqrt-prod`
53×	`cbrt-prod`
41×	`add-sqr-sqrt`
33×	`distribute-lft-out`
19×	`pow1` `add-cube-cbrt` `swap-sqr`
18×	`cbrt-div`
14×	`sqrt-pow1`
12×	`sqrt-div`
11×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+` `unswap-sqr`
8×	`pow1/2`
6×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `pow-prod-down` `pow-sqr` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

16.0ms	(cbrt (+ (+ 3.0 d2) d3))
15.0ms	(cbrt (+ (+ 3.0 d2) d3))
15.0ms	(cbrt (+ (+ 3.0 d2) d3))
145.0ms	(* (sqrt (cbrt (+ (+ 3.0 d2) d3))) (sqrt (cbrt (+ (+ 3.0 d2) d3))))

series365.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (+ (+ 3.0 d2) d3))
91.0ms	(cbrt (+ (+ 3.0 d2) d3))
91.0ms	(cbrt (+ (+ 3.0 d2) d3))
92.0ms	(* (sqrt (cbrt (+ (+ 3.0 d2) d3))) (sqrt (cbrt (+ (+ 3.0 d2) d3))))

simplify47.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	287	1125
1	1050	1053
2	5001	996

prune302.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample543.0ms

Algorithm

intervals

Results

232.0ms	9661×	body	80	valid
18.0ms	176×	body	640	valid
9.0ms	139×	body	320	valid
9.0ms	84×	body	1280	valid
3.0ms	73×	body	160	valid