Details

Time bar (total: 4.9s)

sample40.0ms

Algorithm
intervals
Results
17.0ms373×body80valid

simplify54.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

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:
125.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
38.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms
(+ (* x y) (/ (* z t) 16.0))
3.0ms
(/ (* a b) 4.0)

series284.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
82.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
41.0ms
(+ (* x y) (/ (* z t) 16.0))
22.0ms
(/ (* a b) 4.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0374628
11499597
25001590

prune230.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×sum-log frac-sub
5×*-un-lft-identity flip3-+ flip-+
4×diff-log
3×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
2×+-commutative frac-times sub-neg associate-*r/ associate-*l/ associate--l+
1×associate-+l- flip3-- flip-- distribute-lft-out
Counts
3 → 49
Calls
3 calls:
114.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0)))) c)
34.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0))))
4.0ms
(+ (* x y) (/ (* z t) 16.0))

series735.0ms

Counts
3 → 9
Calls
3 calls:
395.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0)))) c)
298.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0))))
42.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0333790
11250714
25001667

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.2b
(/ (* a b) 4.0)
0.2b
(pow (/ (* a b) 4.0) 3)
29.2b
(cbrt (pow (/ (* a b) 4.0) 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×add-exp-log times-frac add-cbrt-cube
14×unpow-prod-down cube-prod
6×add-log-exp
5×pow1 div-inv
4×cbrt-undiv div-exp
3×pow-unpow pow-exp associate-/r* rem-cube-cbrt
2×cube-div cube-mult unpow3 prod-exp cbrt-unprod sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num sum-log rem-cbrt-cube flip-+ associate-/l*
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (/ (* z t) 16.0))
3.0ms
(/ (* a b) 4.0)
4.0ms
(pow (/ (* a b) 4.0) 3)
3.0ms
(cbrt (pow (/ (* a b) 4.0) 3))

series141.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (* x y) (/ (* z t) 16.0))
20.0ms
(/ (* a b) 4.0)
57.0ms
(pow (/ (* a b) 4.0) 3)
20.0ms
(cbrt (pow (/ (* a b) 4.0) 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0379464
11874436
25001430

prune302.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a b) 4.0)
0.3b
(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
8.3b
(sqrt (/ (* a b) 4.0))
8.3b
(sqrt (/ (* a b) 4.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-prod
36×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×pow1 times-frac
12×swap-sqr
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2 associate-*r* associate-*l*
7×div-inv
6×sqrt-div
5×pow-prod-up
4×add-log-exp unswap-sqr
3×pow-prod-down associate-/r* pow-sqr
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod
1×pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ associate-*l/ clear-num rem-square-sqrt *-commutative associate-/l*
Counts
4 → 121
Calls
4 calls:
3.0ms
(/ (* a b) 4.0)
18.0ms
(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
2.0ms
(sqrt (/ (* a b) 4.0))
2.0ms
(sqrt (/ (* a b) 4.0))

series326.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* a b) 4.0)
72.0ms
(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
118.0ms
(sqrt (/ (* a b) 4.0))
112.0ms
(sqrt (/ (* a b) 4.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0308618
11674554
25001541

prune401.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes469.0ms

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)

IterNodesCost
02411
12411

end0.0ms

sample1.1s

Algorithm
intervals
Results
549.0ms11899×body80valid