Details

Time bar (total: 2.4s)

sample38.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
6.0ms256×pre80true

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613557
750017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
18.8b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-exp-log add-cbrt-cube
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity add-log-exp
3×flip3-- times-frac associate-/r* flip--
2×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×+-commutative frac-2neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 42
Calls
2 calls:
3.0ms
(+ (* x x) (* y y))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* x x) (* y y))
61.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0308388
11848330
25001322

prune115.0ms

Pruning

4 alts after pruning (3 fresh and 1 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

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.2b
(* (- x y) (- (* x x) (* y y)))
0.2b
(* (+ (* x x) (* y y)) (- x y))
30.0b
(/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×flip3-- flip--
16×add-sqr-sqrt frac-times
12×*-un-lft-identity
9×associate-*r*
8×pow1 add-cube-cbrt associate-*r/ associate-*l* associate-*l/ associate-/r/ associate-/l/
7×flip3-+ flip-+
6×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
3×difference-of-squares
2×pow-prod-down *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg times-frac clear-num associate-/r* sum-log div-inv associate-/l*
Counts
4 → 113
Calls
4 calls:
3.0ms
(+ (* x x) (* y y))
18.0ms
(* (- x y) (- (* x x) (* y y)))
20.0ms
(* (+ (* x x) (* y y)) (- x y))
17.0ms
(/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x x) (* y y))
38.0ms
(* (- x y) (- (* x x) (* y y)))
37.0ms
(* (+ (* x x) (* y y)) (- x y))
54.0ms
(/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))

simplify118.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06021284
143741053
250011053

prune273.0ms

Pruning

4 alts after pruning (1 fresh and 3 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

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.4b

regimes68.0ms

Accuracy

73.7% (5.2b remaining)

Error of 5.7b against oracle of 0.5b and baseline of 20.3b

bsearch102.0ms

Steps
ItersRangePoint
9
1.0877791447896724e-163
2.496381236496654e-157
3.864655616845044e-160
7
-7.096982794773569e-150
-5.441503338962245e-152
-1.5683661590480565e-150
7
-1.9689745148643392e+154
-9.998794794503373e+152
-1.695278258020746e+153

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample1.2s

Algorithm
intervals
Results
711.0ms8000×body80valid
374.0ms8000×pre80true