Details

Time bar (total: 2.6s)

sample33.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize15.0ms

Local error

Found 2 expressions with local error:

2.1b
(- (* x x) (* (* y 4.0) y))
28.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
8.0ms
(- (* x x) (* (* y 4.0) y))
33.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x x) (* (* y 4.0) y))
65.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify182.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0221583
1964535
24814534
35001534

prune106.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

28.1b
(cbrt (- (* x x) (* (* y 4.0) y)))
28.1b
(cbrt (+ (* x x) (* (* y 4.0) y)))
28.1b
(cbrt (+ (* x x) (* (* y 4.0) y)))
28.1b
(cbrt (+ (* x x) (* (* y 4.0) y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+
1×flip3-- flip--
Counts
4 → 52
Calls
4 calls:
6.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
5.0ms
(cbrt (+ (* x x) (* (* y 4.0) y)))
5.0ms
(cbrt (+ (* x x) (* (* y 4.0) y)))
5.0ms
(cbrt (+ (* x x) (* (* y 4.0) y)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
105.0ms
(cbrt (+ (* x x) (* (* y 4.0) y)))
108.0ms
(cbrt (+ (* x x) (* (* y 4.0) y)))
122.0ms
(cbrt (+ (* x x) (* (* y 4.0) y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0189613
1551569
21789561
35002561

prune221.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
0.0b
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
2.1b
(- (* x x) (* (* y 4.0) y))
28.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult flip3-- unpow3 div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp sub-neg cbrt-div pow-pow frac-2neg pow1/3 diff-log div-sub clear-num rem-cbrt-cube
Counts
4 → 140
Calls
4 calls:
19.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
20.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
10.0ms
(- (* x x) (* (* y 4.0) y))
26.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
73.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
41.0ms
(- (* x x) (* (* y 4.0) y))
64.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04822261
124192131
250022116

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize2.0ms

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

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes158.0ms

Accuracy

61.9% (11.8b remaining)

Error of 12.2b against oracle of 0.4b and baseline of 31.4b

bsearch118.0ms

Steps
ItersRangePoint
8
2.714157836303516e+105
1.0348580530422823e+110
1.407738559615817e+109
7
1.2221872762065987e-139
2.278289265728706e-138
2.739971083136069e-139
8
-2.431471461127473e-162
-4.0338442708892566e-165
-2.2309987812193906e-162
9
-1.3998839575152276e+110
-2.8431280732769518e+104
-2.066866671709845e+108

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04048
14048

end0.0ms

sample389.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid