Details

sample58.0ms

Algorithm

intervals

Results

24.0ms

438×

body

valid

simplify10.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

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:

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

series131.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* x y) (* z t))
98.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
21.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune66.0ms

Filtered

47 candidates to 37 candidates (21.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.4b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite31.0ms

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-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
13.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (+ (* x y) (* z t)) (* a b))
139.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
135.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
19.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify59.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	314	1153
1	1488	1063
2	5003	1037

prune104.0ms

Filtered

112 candidates to 66 candidates (41.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (log (+ (+ (* x y) (* z t)) (* a b)))) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(log (+ (+ (* x y) (* z t)) (* a b)))
3.3b	(exp (log (+ (+ (* x y) (* z t)) (* a b))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`log-div` `exp-prod` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`
3×	`exp-sum`
2×	`+-commutative` `exp-diff` `log-pow`
1×	`associate-+l+` `rem-log-exp` `rem-exp-log`

Counts

4 → 55

Calls

4 calls:

8.0ms	(+ (exp (log (+ (+ (* x y) (* z t)) (* a b)))) (* c i))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))
5.0ms	(log (+ (+ (* x y) (* z t)) (* a b)))
6.0ms	(exp (log (+ (+ (* x y) (* z t)) (* a b))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (exp (log (+ (+ (* x y) (* z t)) (* a b)))) (* c i))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))
29.0ms	(log (+ (+ (* x y) (* z t)) (* a b)))
18.0ms	(exp (log (+ (+ (* x y) (* z t)) (* a b))))

simplify115.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	279	634
1	987	576
2	4350	552
3	5002	546

prune78.0ms

Filtered

67 candidates to 50 candidates (25.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* x y) (* z t)) 3)
2.0b	(+ (* (+ (* x y) (* z t)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.5b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
43.4b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* x y) (* z t)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+`
5×	`pow1` `flip3-+` `sum-cubes` `flip-+` `distribute-lft-out` `associate-/l*`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `cube-prod` `associate-/r*`
2×	`+-commutative` `cube-div` `sub-neg` `associate--l+` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

4.0ms	(pow (+ (* x y) (* z t)) 3)
12.0ms	(+ (* (+ (* x y) (* z t)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
11.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
27.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* x y) (* z t)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series2.5s

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (+ (* x y) (* z t)) 3)
184.0ms	(+ (* (+ (* x y) (* z t)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
2.0s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
188.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* x y) (* z t)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify115.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	567	2017
1	2941	1829
2	5002	1811

prune161.0ms

Filtered

106 candidates to 76 candidates (28.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

regimes1.4s

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

688.0ms

13577×

body

valid

Details

sample58.0ms

simplify10.0ms

prune5.0ms

localize11.0ms

rewrite17.0ms

series131.0ms

simplify36.0ms

prune66.0ms

localize14.0ms

rewrite31.0ms

series313.0ms

simplify59.0ms

prune104.0ms

localize15.0ms

rewrite26.0ms

series181.0ms

simplify115.0ms

prune78.0ms

localize21.0ms

rewrite56.0ms

series2.5s

simplify115.0ms

prune161.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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