Details

Time bar (total: 5.2s)

sample43.0ms

Algorithm
intervals
Results
11.0ms38×body1280valid
10.0ms169×body80valid
7.0ms36×body640valid
3.0ms20×body320valid
1.0ms9×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series141.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (/ (sin y) y))
27.0ms
(/ (sin y) y)
64.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune185.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
1.6b
(/ x (/ z (/ (sin y) y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
13.0ms
(/ x (/ z (/ (sin y) y)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
79.0ms
(/ x (/ z (/ (sin y) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011102950
150012830

prune757.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (/ (sin y) y))
0.2b
(/ (sin y) y)
4.1b
(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
1985×times-frac
858×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
108×div-inv
61×add-exp-log
60×associate-/r*
43×div-exp
31×add-cbrt-cube
19×cbrt-undiv associate-/l*
16×associate-/r/
6×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 764
Calls
3 calls:
5.0ms
(/ 1 (/ (sin y) y))
3.0ms
(/ (sin y) y)
28.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (/ (sin y) y))
24.0ms
(/ (sin y) y)
79.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify148.0ms

Algorithm
egg-herbie
Counts
773 → 773
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0381610782
1500110089

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (sin y))
2.9b
(/ (* (* x (sin y)) (/ 1 y)) z)
5.7b
(* (* x (sin y)) (/ 1 y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
4×rec-exp 1-exp associate-*l* pow-prod-down
3×associate-/r* add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 89
Calls
3 calls:
3.0ms
(* x (sin y))
11.0ms
(/ (* (* x (sin y)) (/ 1 y)) z)
12.0ms
(* (* x (sin y)) (/ 1 y))

series154.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* x (sin y))
68.0ms
(/ (* (* x (sin y)) (/ 1 y)) z)
50.0ms
(* (* x (sin y)) (/ 1 y))

simplify61.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0440565
12584430
25002410

prune145.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

71.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.4b

bsearch96.0ms

Steps
ItersRangePoint
9
5.387858720065333e-175
1.363700013553169e-169
1.3404588813261756e-169
8
-7.587822419691579e+51
-2.693845947709892e+48
-2.8568993598992816e+48

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.2s

Algorithm
intervals
Results
362.0ms5794×body80valid
325.0ms1050×body1280valid
223.0ms1012×body640valid
82.0ms536×body320valid
38.0ms301×body160valid