Details

Time bar (total: 6.4s)

analyze1.4s

Algorithm
search

sample43.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
5.0ms89×body80invalid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0328
1698
21348
32258
43788
55988
68158
710358
811438
912118
1012118

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.2b
(/ (* a b) 4.0)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt sum-log
4×pow1 diff-log
3×associate-+l+ flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
8.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms
(/ (* a b) 4.0)

series86.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* x y) (/ (* z t) 16.0))
25.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
47.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms
(/ (* a b) 4.0)

simplify41.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0374628
11499597
25001590

prune108.0ms

Filtered
60 candidates to 81 candidates (-35.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New78381
Fresh000
Picked101
Done000
Total79382

Merged error: 0.0b

Counts
82 → 3

localize14.0ms

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)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×sum-log
5×*-un-lft-identity
4×diff-log
3×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
2×+-commutative sub-neg associate-*r/ associate--l+ frac-sub
1×associate-+l- flip3-- flip-- distribute-lft-out
Counts
3 → 45
Calls
3 calls:
4.0ms
(+ (* x y) (/ (* z t) 16.0))
9.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)
7.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

series85.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (* x y) (/ (* z t) 16.0))
48.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)
25.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0284515
11054494
25002487

prune74.0ms

Filtered
42 candidates to 54 candidates (-28.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54054
Fresh022
Picked011
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
0.3b
(/ a (/ 4.0 b))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
46×add-cube-cbrt
20×add-log-exp
13×associate-/r*
9×add-exp-log add-cbrt-cube
6×sum-log
5×div-inv
4×pow1 diff-log
3×cbrt-undiv associate-+l+ flip3-+ div-exp flip-+ associate-/l* difference-of-squares
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg clear-num associate-/r/ flip--
Counts
4 → 120
Calls
4 calls:
4.0ms
(+ (* x y) (/ (* z t) 16.0))
17.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
22.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
5.0ms
(/ a (/ 4.0 b))

series88.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* x y) (/ (* z t) 16.0))
24.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
48.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
4.0ms
(/ a (/ 4.0 b))

simplify63.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06011039
122981003
250031002

prune174.0ms

Filtered
104 candidates to 132 candidates (-26.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh011
Picked011
Done011
Total1314135

Merged error: 0.0b

Counts
135 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt b) (cbrt b))
23.0ms
(cbrt b)
21.0ms
(cbrt b)
22.0ms
(cbrt b)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune82.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done022
Total85489

Merged error: 0.0b

Counts
89 → 4

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

analyze1.4s

Algorithm
search

sample1.1s

Algorithm
intervals
Results
446.0ms8000×body80valid
217.0ms3906×body80invalid

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