Details

Time bar (total: 2.0s)

sample35.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
6.0ms256×pre80true

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1526
21176
32406
44786
59476
618446
750016

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.1b

localize8.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-exp-log add-cbrt-cube
4×frac-times flip3-+ flip-+
3×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 33
Calls
1 calls:
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0279306
11480261
25001254

prune93.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
1.7b
(log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
16.2b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log add-cbrt-cube associate-/l/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u frac-times flip3-+ flip-+
3×pow1 flip3-- times-frac associate-/r* flip-- log1p-expm1-u add-log-exp
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×log1p-udef expm1-log1p frac-2neg log1p-expm1 prod-exp clear-num cbrt-unprod div-inv associate-/l* expm1-udef
Counts
3 → 55
Calls
3 calls:
0.0ms
(expm1 (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
0.0ms
(log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series351.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(expm1 (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
124.0ms
(log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
63.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0324540
11567462
25001452

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

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 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

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 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes73.0ms

Accuracy

75.7% (4.9b remaining)

Error of 5.3b against oracle of 0.4b and baseline of 20.5b

bsearch107.0ms

Steps
ItersRangePoint
9
1.6161733137193659e-195
1.3817922502025073e-189
1.3645633303893502e-189
8
-1.1593599776300809e-157
-1.3699538778299852e-160
-7.331061585121293e-158
8
-2.4957032034655115e+156
-3.203822189738085e+153
-3.23505880669575e+153

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03220
13220

end0.0ms

sample861.0ms

Algorithm
intervals
Results
546.0ms8000×body80valid
172.0ms8000×pre80true