Details

Time bar (total: 1.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.1b
(- (* x x) (* (* y 4.0) y))
33.7b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* (* y 4.0) y))
43.0ms
(- (* x x) (* (* y 4.0) y))
59.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0234680
11007622
25001620

prune145.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

4.1b
(- (* x x) (* (* y 4.0) y))
32.3b
(sqrt (+ (* x x) (* (* y 4.0) y)))
32.3b
(sqrt (+ (* x x) (* (* y 4.0) y)))
33.7b
(/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity flip3-+ associate-/r/ flip-+
6×pow1 sqrt-prod add-log-exp
4×frac-times
3×times-frac associate-/l*
2×cbrt-undiv rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-*r/ div-exp associate-*l/ flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 74
Calls
4 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
4.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
4.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
14.0ms
(/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))

series212.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* x x) (* (* y 4.0) y))
54.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
52.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
65.0ms
(/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))

simplify139.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0297977
11101884
24724868
35001866

prune190.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes179.0ms

Accuracy

61.2% (12.2b remaining)

Error of 12.6b against oracle of 0.4b and baseline of 31.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03120
13120

end0.0ms

sample370.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid