Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
11.0ms355×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.3b
(/ y (* z 3.0))
6.8b
(/ t (* (* z 3.0) y))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
74.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
16.0ms
(* (* z 3.0) y)
7.0ms
(/ y (* z 3.0))
17.0ms
(/ t (* (* z 3.0) y))

series144.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(* (* z 3.0) y)
18.0ms
(/ y (* z 3.0))
29.0ms
(/ t (* (* z 3.0) y))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405532
12039469
25001469

prune196.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.3b
(/ y (* z 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
75.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ t (* z 3.0))
10.0ms
(/ y (* z 3.0))
14.0ms
(/ (/ t (* z 3.0)) y)

series151.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
22.0ms
(/ y (* z 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0482721
11906657
25002657

prune263.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.3b
(* (/ 1 z) (/ y 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
53×add-sqr-sqrt
40×add-exp-log *-un-lft-identity
36×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
9×add-log-exp
8×div-inv
6×pow1 cbrt-unprod unswap-sqr
4×associate-/r*
2×rec-exp associate-+l+ frac-2neg 1-exp frac-add clear-num sum-log
1×+-commutative frac-times associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+ associate-/l/ distribute-lft-out
Counts
4 → 143
Calls
4 calls:
32.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ t (* z 3.0))
26.0ms
(* (/ 1 z) (/ y 3.0))
14.0ms
(/ (/ t (* z 3.0)) y)

series150.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
17.0ms
(* (/ 1 z) (/ y 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify78.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0738956
13458851
25001841

prune352.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ y 3.0) z))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y 3.0) z)
4.1b
(/ (/ t (* z 3.0)) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
66×*-un-lft-identity
64×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
4×pow1
3×frac-2neg clear-num
2×associate-+l+ frac-add prod-exp sum-log cbrt-unprod associate-/l/
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out
Counts
4 → 157
Calls
4 calls:
33.0ms
(+ (- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ y 3.0) z))) (/ (/ t (* z 3.0)) y))
8.0ms
(/ t (* z 3.0))
11.0ms
(/ (/ y 3.0) z)
16.0ms
(/ (/ t (* z 3.0)) y)

series150.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ y 3.0) z))) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
19.0ms
(/ (/ y 3.0) z)
30.0ms
(/ (/ t (* z 3.0)) y)

simplify77.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07551244
131231161
250031157

prune483.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes99.0ms

Accuracy

46.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.6b

bsearch102.0ms

Steps
ItersRangePoint
9
6.644479027714087e+75
4.441289179690215e+81
1.5940030720499206e+76
8
-4.2234171386325174e-57
-1.628969886429466e-60
-2.1715284935076567e-57

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04120
14120

end0.0ms

sample731.0ms

Algorithm
intervals
Results
346.0ms11153×body80valid