Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

441×

body

valid

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

prune3.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.0ms	(+ (* x y) (* z t))

series296.0ms

Counts

3 → 9

Calls

3 calls:

210.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
51.0ms	(+ (+ (* x y) (* z t)) (* a b))
35.0ms	(+ (* x y) (* z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (9.0ms)

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

prune121.0ms

Filtered

47 candidates to 37 candidates (78.7%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.3b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite40.0ms

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:

4.0ms	(+ (* x y) (* z t))
7.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
20.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series7.7s

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
3.9s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
225.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify68.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	380	1434
1	1735	1287
2	5002	1251

prune285.0ms

Filtered

110 candidates to 66 candidates (60.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (pow (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 3) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.3b	(pow (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 3)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `pow1/2` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

7.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
7.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
28.0ms	(* (pow (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 3) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
10.0ms	(pow (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 3)

series7.7s

Counts

4 → 12

Calls

4 calls:

3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
224.0ms	(* (pow (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 3) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
181.0ms	(pow (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 3)

simplify95.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	542	2946
1	2547	2504
2	5002	2289

prune454.0ms

Filtered

163 candidates to 83 candidates (50.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	163	4	167

Merged error: 0.0b

Counts

167 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* c i) (* c i))
0.3b	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
5.3b	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
31.5b	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

6.0ms	(* (* c i) (* c i))
12.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
16.0ms	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
20.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series1.8m

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* c i) (* c i))
430.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
1.7m	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
699.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify114.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	574	2150
1	3376	1883
2	5001	1811

prune324.0ms

Filtered

132 candidates to 83 candidates (62.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	131	5	136

Merged error: 0b

Counts

136 → 5

regimes526.0ms

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	22	7
1	22	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

648.0ms

13614×

body

valid

Details

sample44.0ms

simplify9.0ms

prune3.0ms

localize11.0ms

rewrite17.0ms

series296.0ms

simplify39.0ms

prune121.0ms

localize14.0ms

rewrite40.0ms

series7.7s

simplify68.0ms

prune285.0ms

localize18.0ms

rewrite57.0ms

series7.7s

simplify95.0ms

prune454.0ms

localize16.0ms

rewrite57.0ms

series1.8m

simplify114.0ms

prune324.0ms

regimes526.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling