Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
21.0ms298×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite35.0ms

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:
29.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series106.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
53.0ms
(- (* (/ 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

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (+ t (* 0.125 x)) (* 0.5 (* z y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
2×diff-log
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity associate--l+ sum-log add-cbrt-cube flip--
Counts
1 → 14
Calls
1 calls:
15.0ms
(- (+ t (* 0.125 x)) (* 0.5 (* z y)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (+ t (* 0.125 x)) (* 0.5 (* z y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0101131
1418120
22356120
35001120

prune35.0ms

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) (/ (* 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)))
26.8b
(/ (- (* (* (/ 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)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log add-cbrt-cube
39×associate-*l/
24×times-frac
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
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-+ frac-add flip-- flip-+
1×+-commutative pow2 sub-neg frac-2neg pow-plus diff-log div-sub pow-prod-down clear-num sum-log pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 136
Calls
4 calls:
5.0ms
(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
16.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
21.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
70.0ms
(/ (- (* (* (/ 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)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
34.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
102.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
101.0ms
(/ (- (* (* (/ 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)))

simplify119.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
07131836
141461606
250011589

prune374.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y z) y)
3.1b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* (* y z) y) 2.0) (/ z 2.0)))
4.7b
(* (/ (* (* y z) y) 2.0) (/ z 2.0))
26.8b
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* (* y z) y) 2.0) (/ z 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log add-cbrt-cube
38×associate-*l/
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity times-frac
18×frac-sub
17×prod-exp cbrt-unprod
16×associate-*r*
13×frac-times associate-*r/
11×pow1 cbrt-undiv div-exp associate-/l/
8×associate-*l*
6×add-log-exp
4×pow-prod-down
3×associate-/r* associate-/r/ div-inv associate-/l*
2×flip3-- *-commutative flip-- unswap-sqr
1×sub-neg frac-2neg flip3-+ diff-log div-sub frac-add clear-num flip-+
Counts
4 → 131
Calls
4 calls:
6.0ms
(* (* y z) y)
21.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* (* y z) y) 2.0) (/ z 2.0)))
29.0ms
(* (/ (* (* y z) y) 2.0) (/ z 2.0))
68.0ms
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* (* y z) y) 2.0) (/ z 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (* y z) y)
103.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* (* y z) y) 2.0) (/ z 2.0)))
36.0ms
(* (/ (* (* y z) y) 2.0) (/ z 2.0))
282.0ms
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* (* y z) y) 2.0) (/ z 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify113.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08021765
142511564
250011557

prune341.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

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
0155
1155

end0.0ms

sample811.0ms

Algorithm
intervals
Results
576.0ms9195×body80valid
0.0ms1×body1280valid
0.0ms2×body160valid