Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

463×

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

localize14.0ms

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))

rewrite19.0ms

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))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series299.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* x y) (* z t))
208.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
53.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune119.0ms

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a b) (* a b))
0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
3.0b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
27.9b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite47.0ms

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	(* (* a b) (* a b))
9.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
18.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series738.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* a b) (* a b))
54.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
454.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
199.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify112.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	565	1612
1	3148	1411
2	5001	1359

prune309.0ms

Filtered

132 candidates to 82 candidates (62.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	4	135

Merged error: 0.0b

Counts

135 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
27.9b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))
27.9b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))
27.9b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`difference-of-squares`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
7×	`flip3--` `flip--`
6×	`associate-/r/` `associate-/l/` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`
2×	`associate--l+`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log`

Counts

4 → 123

Calls

4 calls:

10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
18.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))
22.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))
18.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series1.0s

Counts

4 → 12

Calls

4 calls:

460.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
192.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))
191.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))
194.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify72.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	319	2942
1	1653	2553
2	5001	2480

prune545.0ms

Filtered

135 candidates to 114 candidates (84.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	135	4	139

Merged error: 0.0b

Counts

139 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b)) (* c i))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite38.0ms

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:

14.0ms	(+ (+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b)) (* c i))
14.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(+ (+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b)) (* c i))
37.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
70.0ms	(sqrt (+ (* x y) (* z t)))
73.0ms	(sqrt (+ (* x y) (* z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	327	979
1	1327	844
2	5001	815

prune249.0ms

Filtered

112 candidates to 67 candidates (59.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

regimes438.0ms

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

sample1.1s

Algorithm

intervals

Results

552.0ms

13717×

body

valid