Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	299×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	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

prune5.0ms

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))

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

Counts

1 → 24

Calls

1 calls:

40.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify82.0ms

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

prune45.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* d1 (+ 3.0 d2))
41.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	216	183
1	975	162
2	5001	160

prune80.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))

rewrite102.0ms

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:

72.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
8.0ms	(cbrt (+ (+ 3.0 d2) d3))
9.0ms	(cbrt (+ (+ 3.0 d2) d3))
8.0ms	(cbrt (+ (+ 3.0 d2) d3))

series406.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
106.0ms	(cbrt (+ (+ 3.0 d2) d3))
102.0ms	(cbrt (+ (+ 3.0 d2) d3))
101.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify128.0ms

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

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2))) (* d1 d3))
0.2b	(* d1 (sqrt (+ 3.0 d2)))
0.4b	(* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-r`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `flip3-+` `flip-+`
5×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 66

Calls

3 calls:

20.0ms	(+ (* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2))) (* d1 d3))
11.0ms	(* d1 (sqrt (+ 3.0 d2)))
26.0ms	(* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2))) (* d1 d3))
62.0ms	(* d1 (sqrt (+ 3.0 d2)))
34.0ms	(* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2)))

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	365	552
1	1592	459
2	5001	426

prune138.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes58.0ms

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	12	4
1	12	4

end0.0ms

sample481.0ms

Algorithm

intervals

Results

238.0ms	9574×	body	80	valid
20.0ms	226×	body	640	valid
13.0ms	88×	body	1280	valid
12.0ms	168×	body	320	valid
3.0ms	66×	body	160	valid