Details

Time bar (total: 4.3s)

sample55.0ms

Algorithm
intervals
Results
34.0ms385×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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))
0.2b
(/ (* z t) 16.0)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 50
Calls
3 calls:
4.0ms
(+ (* x y) (/ (* z t) 16.0))
35.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
3.0ms
(/ (* z t) 16.0)

series149.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (* x y) (/ (* z t) 16.0))
86.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
18.0ms
(/ (* z t) 16.0)

simplify37.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0303419
11236392
25001385

prune185.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 add-exp-log add-cube-cbrt flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+
1×+-commutative sub-neg flip3-- associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ (* x y) (* z (/ t 16.0)))
17.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

series125.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* x y) (* z (/ t 16.0)))
84.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0215339
1829322
23757315
35001315

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
0.0b
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
0.5b
(/ 16.0 (* z t))
0.8b
(/ 1 (/ 16.0 (* z t)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-exp-log
24×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
18×add-cbrt-cube
14×div-exp
11×add-log-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
5×pow1
4×prod-exp
3×rec-exp 1-exp
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub cbrt-unprod flip-+
1×+-commutative sub-neg flip3-- pow-flip associate--l+ associate-/r/ flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 106
Calls
4 calls:
10.0ms
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
96.0ms
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
3.0ms
(/ 16.0 (* z t))
6.0ms
(/ 1 (/ 16.0 (* z t)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
85.0ms
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
18.0ms
(/ 16.0 (* z t))
20.0ms
(/ 1 (/ 16.0 (* z t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0462787
12037674
25001670

prune291.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0)))
0.8b
(/ 1 (/ 16.0 (* z t)))
0.8b
(/ 1 (/ 16.0 (* z t)))
0.8b
(/ 1 (/ 16.0 (* z t)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
67×add-exp-log
55×add-sqr-sqrt *-un-lft-identity
53×add-cube-cbrt
36×div-exp
31×add-cbrt-cube
21×associate-/r*
15×cbrt-undiv div-inv
9×rec-exp 1-exp prod-exp associate-/l*
7×pow1
5×cbrt-prod
4×cbrt-div add-log-exp
3×pow-flip frac-2neg clear-num associate-/r/ cbrt-unprod inv-pow
2×frac-sub
1×flip3-- flip3-+ pow1/3 flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 185
Calls
4 calls:
41.0ms
(cbrt (- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0)))
6.0ms
(/ 1 (/ 16.0 (* z t)))
9.0ms
(/ 1 (/ 16.0 (* z t)))
6.0ms
(/ 1 (/ 16.0 (* z t)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0)))
17.0ms
(/ 1 (/ 16.0 (* z t)))
17.0ms
(/ 1 (/ 16.0 (* z t)))
21.0ms
(/ 1 (/ 16.0 (* z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04941297
119791042
250031027

prune509.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s11909×body80valid