Details

sample4.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

18.0ms	256×	body	80	valid
7.0ms	149×	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

localize12.0ms

Local error

Found 3 expressions with local error:

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

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series133.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify38.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune73.0ms

Filtered

37 candidates to 47 candidates (-27.0%)

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
35.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	315	1087
1	1067	1022
2	4322	952
3	5001	933

prune124.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.3b	(pow (+ (* x y) (* z t)) 3)
33.2b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
9.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
4.0ms	(pow (+ (* x y) (* z t)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series74.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
34.0ms	(pow (+ (* x y) (* z t)) 3)
11.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	340	578
1	1694	519
2	5001	513

prune97.0ms

Filtered

52 candidates to 82 candidates (-57.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

2.6b	(+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t)))))
4.7b	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
5.0b	(+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3))
39.0b	(/ (+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3)) (+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `flip3-+` `flip-+`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

10.0ms	(+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t)))))
9.0ms	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
10.0ms	(+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3))
17.0ms	(/ (+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3)) (+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t))))))

series2.3s

Counts

4 → 12

Calls

4 calls:

190.0ms	(+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t)))))
26.0ms	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
1.9s	(+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3))
183.0ms	(/ (+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3)) (+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t))))))

simplify89.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	507	1963
1	2541	1789
2	5001	1786

prune184.0ms

Filtered

74 candidates to 103 candidates (-39.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

regimes1.5s

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

sample6.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

458.0ms	8000×	body	80	valid
306.0ms	5505×	body	80	invalid

Details

sample4.8s

simplify9.0ms

prune6.0ms

localize12.0ms

rewrite19.0ms

series133.0ms

simplify38.0ms

prune73.0ms

localize16.0ms

rewrite23.0ms

series155.0ms

simplify104.0ms

prune124.0ms

localize15.0ms

rewrite23.0ms

series74.0ms

simplify56.0ms

prune97.0ms

localize23.0ms

rewrite49.0ms

series2.3s

simplify89.0ms

prune184.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.7s

Profiling