Details

sample29.0ms

Algorithm

intervals

Results

12.0ms	332×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

9.0ms	(+ d2 (+ d3 (+ 5.0 32.0)))
10.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

series11.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ d2 (+ d3 (+ 5.0 32.0)))
8.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

simplify35.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5023	446

prune60.0ms

Filtered

28 candidates to 48 candidates (-71.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

localize12.0ms

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))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

6.0ms	(* (+ d3 5.0) d1)
4.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
7.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (+ d3 5.0) d1)
8.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
9.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4969	502
1	4969	502

prune71.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))
0.1b	(sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))))
0.1b	(sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))))
0.3b	(* (sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0))))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
19×	`*-un-lft-identity`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `associate-r` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr` `distribute-lft-out`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 108

Calls

4 calls:

11.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))
9.0ms	(sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))))
10.0ms	(sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))))
25.0ms	(* (sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0))))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))
21.0ms	(sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))))
20.0ms	(sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))))
81.0ms	(* (sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (* d1 (+ d2 (+ d3 (+ 5.0 32.0))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4867	1376
1	4867	1376

prune152.0ms

Filtered

69 candidates to 120 candidates (-73.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))) (* d2 (+ d3 (+ 5.0 32.0))))
3.6b	(+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))
5.2b	(* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3)))
27.8b	(/ (* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))) (+ (* d2 d2) (- (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))) (* d2 (+ d3 (+ 5.0 32.0))))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
50×	`distribute-lft-out`
30×	`associate-*r/`
28×	`flip3-+` `flip-+`
24×	`unpow-prod-down` `cube-prod`
17×	`associate-r`
16×	`frac-sub`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`frac-times` `add-cube-cbrt` `add-log-exp`
6×	`pow1` `associate-*l/`
4×	`sub-div`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

15.0ms	(- (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))) (* d2 (+ d3 (+ 5.0 32.0))))
18.0ms	(+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))
23.0ms	(* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3)))
36.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))) (+ (* d2 d2) (- (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))) (* d2 (+ d3 (+ 5.0 32.0))))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))) (* d2 (+ d3 (+ 5.0 32.0))))
13.0ms	(+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))
44.0ms	(* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3)))
76.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))) (+ (* d2 d2) (- (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))) (* d2 (+ d3 (+ 5.0 32.0))))))

simplify54.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4957	3079
1	4957	3079

prune274.0ms

Filtered

84 candidates to 135 candidates (-60.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	135	4	139

Merged error: 0b

Counts

139 → 4

regimes241.0ms

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	13	9
1	13	9

end0.0ms

sample817.0ms

Algorithm

intervals

Results

389.0ms	10197×	body	80	valid
2.0ms	18×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	11×	body	160	valid

Details

sample29.0ms

simplify3.0ms

prune9.0ms

localize6.0ms

rewrite21.0ms

series11.0ms

simplify35.0ms

prune60.0ms

localize12.0ms

rewrite18.0ms

series23.0ms

simplify36.0ms

prune71.0ms

localize9.0ms

rewrite59.0ms

series130.0ms

simplify42.0ms

prune152.0ms

localize17.0ms

rewrite99.0ms

series142.0ms

simplify54.0ms

prune274.0ms

regimes241.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample817.0ms

Profiling