Details

sample42.0ms

Algorithm

intervals

Results

22.0ms

389×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `flip--` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
11.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series264.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x y) (/ (* z t) 16.0))
142.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
82.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify114.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	282	548
1	1017	527
2	4883	513
3	5001	513

prune151.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
2.0b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.0b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.0b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite33.0ms

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:

13.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
8.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
118.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
122.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
122.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	328	1262
1	1070	1181
2	4053	1092
3	5001	1079

prune350.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1` `distribute-lft-out--`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 105

Calls

4 calls:

33.0ms	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
11.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
11.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
11.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series737.0ms

Counts

4 → 12

Calls

4 calls:

422.0ms	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
104.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
104.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
107.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify123.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	276	2258
1	930	2121
2	4250	1863
3	5001	1846

prune329.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `distribute-lft-out`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

11.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
11.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
11.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
11.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series418.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
101.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
107.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
103.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify50.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	140	1040
1	333	964
2	1393	940
3	5001	932

prune298.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	72	6	78

Merged error: 0b

Counts

78 → 6

regimes542.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

621.0ms

11972×

body

valid

Details

sample42.0ms

simplify56.0ms

prune3.0ms

localize12.0ms

rewrite25.0ms

series264.0ms

simplify114.0ms

prune151.0ms

localize16.0ms

rewrite33.0ms

series505.0ms

simplify94.0ms

prune350.0ms

localize17.0ms

rewrite70.0ms

series737.0ms

simplify123.0ms

prune329.0ms

localize24.0ms

rewrite46.0ms

series418.0ms

simplify50.0ms

prune298.0ms

regimes542.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling