Details

Time bar (total: 4.9s)

sample32.0ms

Algorithm
intervals
Results
15.0ms289×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ diff-log sum-log add-cbrt-cube
1×+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ distribute-lft-out
Counts
2 → 29
Calls
2 calls:
40.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
10.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
50.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0188275
1585260
22356255
35002255

prune74.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
0.3b
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
3.1b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log add-cbrt-cube
38×associate-*l/
24×times-frac
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
18×frac-sub
15×prod-exp cbrt-unprod
13×cbrt-undiv frac-times associate-*r/ div-exp
11×pow1 associate-/l/
8×add-log-exp
7×swap-sqr associate-*r* associate-*l*
5×div-inv difference-of-squares
4×associate-/l*
3×associate-/r* associate-/r/
2×flip3-- flip3-+ div-sub flip-- flip-+
1×+-commutative pow2 associate-+l- sub-neg frac-2neg pow-plus diff-log pow-prod-down frac-add clear-num sum-log pow-sqr *-commutative pow-prod-up distribute-lft-out unswap-sqr
Counts
4 → 137
Calls
4 calls:
170.0ms
(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
15.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
22.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
88.0ms
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
38.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
114.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
100.0ms
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify129.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
07642067
142251846
250021830

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.3b
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
3.1b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*l/
53×add-exp-log
47×add-cbrt-cube
37×add-sqr-sqrt
32×times-frac
30×frac-times
29×*-un-lft-identity
28×add-cube-cbrt
27×frac-sub
23×associate-*r*
20×associate-*r/
19×prod-exp
17×cbrt-unprod
16×div-exp
14×pow1 cbrt-undiv
11×associate-*l*
7×swap-sqr
6×associate-/r/ div-inv add-log-exp
4×unswap-sqr
3×flip3-- associate-/r* flip-- associate-/l*
2×rec-exp flip3-+ 1-exp pow-prod-down frac-add *-commutative flip-+ difference-of-squares
1×pow2 sub-neg pow-flip frac-2neg pow-plus diff-log clear-num pow-sqr un-div-inv pow-prod-up inv-pow
Counts
4 → 174
Calls
4 calls:
12.0ms
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
15.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
22.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
114.0ms
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
33.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
110.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
106.0ms
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
08392371
150012076

prune404.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
3.1b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (/ (cbrt 1) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
115×associate-*l/
75×frac-times
57×add-exp-log
45×associate-*r/ frac-sub
31×add-cbrt-cube
29×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod cbrt-div add-log-exp
5×flip3-- flip--
4×associate-*l*
3×pow-prod-down
2×flip3-+ pow1/3 frac-add flip-+ difference-of-squares
1×sub-neg diff-log associate-*r* *-commutative
Counts
4 → 134
Calls
4 calls:
5.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
24.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
300.0ms
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (/ (cbrt 1) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
224.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
109.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
113.0ms
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (/ (cbrt 1) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))))

simplify149.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
09804697
143643643
250013203

prune482.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes222.0ms

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)

IterNodesCost
0166
1166

end0.0ms

sample524.0ms

Algorithm
intervals
Results
300.0ms9131×body80valid
0.0ms1×body1280valid