Details

analyze1.4s

Algorithm: search

sample56.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
10.0ms	198×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune6.0ms

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 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
9.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series136.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* x y) (* z t))
101.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
23.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify34.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune63.0ms

Filtered

37 candidates to 47 candidates (-27.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.5b	(sqrt (+ (* x y) (* z t)))
0.5b	(sqrt (+ (* x y) (* z t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
10.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
9.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
21.0ms	(sqrt (+ (* x y) (* z t)))
19.0ms	(sqrt (+ (* x y) (* z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	307	895
1	1276	802
2	5001	770

prune96.0ms

Filtered

68 candidates to 110 candidates (-61.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.2b	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
37.4b	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

9.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))
6.0ms	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
6.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series2.1s

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
18.0ms	(+ (+ (* x y) (* z t)) (* a b))
1.9s	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
18.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	351	819
1	1813	738
2	5002	732

prune87.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

regimes1.4s

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	22	7
1	22	7

end0.0ms

analyze1.4s

Algorithm: search

sample1.4s

Algorithm

intervals

Results

448.0ms	8000×	body	80	valid
322.0ms	5649×	body	80	invalid

Details

analyze1.4s

sample56.0ms

simplify9.0ms

prune6.0ms

localize13.0ms

rewrite18.0ms

series136.0ms

simplify34.0ms

prune63.0ms

localize13.0ms

rewrite29.0ms

series67.0ms

simplify48.0ms

prune96.0ms

localize14.0ms

rewrite27.0ms

series2.1s

simplify57.0ms

prune87.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample1.4s

Profiling