Details

Time bar (total: 2.2s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* x y) 2.0)
9.7b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/r/ div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 54
Calls
2 calls:
4.0ms
(/ (* x y) 2.0)
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* x y) 2.0)
66.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0299361
11304334
25001330

prune111.0ms

Filtered
60 candidates to 43 candidates (71.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
0.2b
(/ (* x y) 2.0)
9.7b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
21×add-exp-log
16×distribute-lft-out
15×add-cbrt-cube
10×div-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv
4×pow1
3×frac-2neg clear-num add-log-exp
2×rec-exp 1-exp associate-/l/
1×pow-flip flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+ inv-pow
Counts
3 → 142
Calls
3 calls:
9.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
4.0ms
(/ (* x y) 2.0)
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series139.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
19.0ms
(/ (* x y) 2.0)
53.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify98.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
05341269
126361138
250011051

prune210.0ms

Filtered
151 candidates to 79 candidates (52.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.4b
(/ x (sqrt 2.0))
0.4b
(/ y (sqrt 2.0))
9.7b
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
93×times-frac
68×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×add-exp-log associate-*r* associate-*l* add-cbrt-cube
15×associate-/r*
9×associate-/l* unswap-sqr
7×cbrt-undiv div-exp
6×pow1
5×div-inv
4×prod-exp cbrt-unprod add-log-exp
3×frac-2neg clear-num
2×associate-/r/
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 180
Calls
4 calls:
16.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms
(/ x (sqrt 2.0))
4.0ms
(/ y (sqrt 2.0))
4.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
51.0ms
(/ x (sqrt 2.0))
55.0ms
(/ y (sqrt 2.0))
320.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06151422
128771324
250021274

prune392.0ms

Filtered
192 candidates to 127 candidates (66.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample333.0ms

Algorithm
intervals
Results
207.0ms7999×body80valid
0.0ms1×body1280valid