Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×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: 32.6b

localize10.0ms

Local error

Found 2 expressions with local error:

3.6b
(- (* x x) (* (* y 4.0) y))
32.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite12.0ms

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:
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x x) (* (* y 4.0) y))
57.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify175.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0221583
1964535
24814534
35001534

prune112.0ms

Pruning

5 alts after pruning (5 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

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune9.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
23.7b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.0b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×*-un-lft-identity
8×associate-/r/
7×add-cube-cbrt times-frac
6×associate-/r*
5×cbrt-undiv div-exp add-log-exp
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv
3×pow1 distribute-rgt-out--
2×frac-2neg clear-num associate-/l* difference-of-squares
1×sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 68
Calls
3 calls:
14.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
8.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
50.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
49.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0362890
11737796
25001796

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
2.4b
(log (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))))
23.7b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.0b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
15×*-un-lft-identity
14×add-sqr-sqrt
12×add-cube-cbrt
11×log-pow
9×exp-prod times-frac
6×pow1 log-prod associate-/r* associate-/r/
5×cbrt-undiv div-exp add-log-exp
4×prod-exp cbrt-unprod
3×flip3-+ associate--l+ flip-+ div-inv
2×frac-2neg clear-num associate-/l* distribute-lft-out--
1×sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
4 → 87
Calls
4 calls:
18.0ms
(- (log (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
5.0ms
(log (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))))
8.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (log (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
50.0ms
(log (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))))
53.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
56.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
03841060
11722936
25001936

prune229.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes122.0ms

Accuracy

60.7% (12.3b remaining)

Error of 12.6b against oracle of 0.3b and baseline of 31.6b

bsearch128.0ms

Steps
ItersRangePoint
7
4.0629840092723765e+194
3.460997383293994e+196
1.9046681824560116e+196
6
5.893196845132749e-125
3.5890396590734464e-124
5.991118504563713e-125
7
1.2968895261830692e-145
2.30632017979319e-143
2.0279595671644782e-143
9
3.464811865265478e-176
6.1279324983231206e-170
3.5288292903463466e-176
8
2.3058420736496803e-225
1.4705512305724005e-220
1.1671138564200652e-220
9
4.996697245915609e-303
1.6115010496640566e-295
1.3970493882984765e-295

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03760
13760

end0.0ms

sample393.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid