Details

sample67.0ms

Algorithm

intervals

Results

31.0ms	940×	body	80	nan
10.0ms	288×	body	80	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	76	10
2	211	10
3	530	10
4	1065	10
5	2198	10
6	3794	10
7	5001	10

prune2.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/`
7×	`associate-*l/`
6×	`flip3--` `sqrt-div` `sqrt-prod` `flip--`
5×	`*-commutative`
4×	`frac-times` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv`
1×	`pow1/2`

Counts

4 → 34

Calls

4 calls:

7.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
5.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
4.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
4.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
193.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
152.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
78.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	580	515
1	2402	491
2	5001	487

prune167.0ms

Filtered

46 candidates to 44 candidates (95.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* (- 1.0) rand) (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
0.2b	(/ (* (- 1.0) rand) (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-prod`
17×	`*-commutative`
15×	`times-frac`
10×	`neg-mul-1`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-*r/`
6×	`flip3--` `associate-l` `flip--`
5×	`associate-/r*`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `sqrt-div`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`+-commutative` `sub-neg` `associate-*l/` `associate-/r/` `distribute-neg-frac`
1×	`distribute-lft-neg-out` `frac-2neg` `pow1/2` `distribute-frac-neg` `clear-num` `div-inv`

Counts

4 → 54

Calls

4 calls:

3.0ms	(* 9.0 (- a (/ 1.0 3.0)))
9.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* (- 1.0) rand) (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
7.0ms	(/ (* (- 1.0) rand) (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
4.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series467.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 9.0 (- a (/ 1.0 3.0)))
134.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* (- 1.0) rand) (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
209.0ms	(/ (* (- 1.0) rand) (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
80.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	578	681
1	1981	666
2	5001	662

prune235.0ms

Filtered

66 candidates to 59 candidates (89.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ -1 (/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand)))))
0.2b	(/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
1.0b	(/ -1 (/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-commutative`
26×	`sqrt-prod`
20×	`times-frac`
16×	`associate-/r*`
13×	`associate-/r/`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
8×	`associate-*r/`
6×	`neg-mul-1` `flip3--` `sqrt-div` `flip--`
4×	`frac-times` `associate-/l/` `distribute-neg-frac`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*l/`
1×	`neg-sub0` `pow1/2` `div-sub` `distribute-frac-neg` `associate-r` `distribute-rgt1-in`

Counts

4 → 69

Calls

4 calls:

9.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ -1 (/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand)))))
6.0ms	(/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand))
4.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
8.0ms	(/ -1 (/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ -1 (/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand)))))
182.0ms	(/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand))
83.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
203.0ms	(/ -1 (/ (- (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* 1.0 rand)))

simplify65.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	700	775
1	2545	748
2	5001	742

prune293.0ms

Filtered

81 candidates to 78 candidates (96.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- a (/ 1.0 3.0))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ -1 (sqrt (- a (/ 1.0 3.0)))) (/ (* 1.0 rand) (- (sqrt 9.0))))))
0.2b	(/ -1 (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (/ -1 (sqrt (- a (/ 1.0 3.0)))) (/ (* 1.0 rand) (- (sqrt 9.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`frac-times`
13×	`clear-num`
12×	`frac-2neg`
8×	`associate-r/` `associate-/l`
7×	`*-commutative`
6×	`neg-mul-1` `flip3--` `flip--`
5×	`associate-*l/`
4×	`sqrt-div` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-r` `associate-l` `flip-+` `div-inv`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `times-frac`
1×	`sub-neg` `un-div-inv`

Counts

4 → 57

Calls

4 calls:

2.0ms	(- a (/ 1.0 3.0))
8.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ -1 (sqrt (- a (/ 1.0 3.0)))) (/ (* 1.0 rand) (- (sqrt 9.0))))))
3.0ms	(/ -1 (sqrt (- a (/ 1.0 3.0))))
8.0ms	(* (/ -1 (sqrt (- a (/ 1.0 3.0)))) (/ (* 1.0 rand) (- (sqrt 9.0))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- a (/ 1.0 3.0))
168.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ -1 (sqrt (- a (/ 1.0 3.0)))) (/ (* 1.0 rand) (- (sqrt 9.0))))))
85.0ms	(/ -1 (sqrt (- a (/ 1.0 3.0))))
239.0ms	(* (/ -1 (sqrt (- a (/ 1.0 3.0)))) (/ (* 1.0 rand) (- (sqrt 9.0))))

simplify78.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	647	732
1	3291	688
2	5002	682

prune224.0ms

Filtered

69 candidates to 58 candidates (84.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

regimes71.0ms

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	22	12
1	22	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

895.0ms	28053×	body	80	nan
309.0ms	9183×	body	80	valid