Details

Time bar (total: 9.2s)

sample47.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
8.0ms256×pre80true

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
12215
24815
310215
420515
538715
683115
7362215
done500015

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
17.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite43.0ms

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:
8.0ms
(+ (* x x) (* y y))
33.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* x x) (* y y))
92.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.4s

Counts
48 → 48
Iterations

Useful iterations: 2 (314.0ms)

IterNodesCost
091826
1346802
22658666
done5000666

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.1b
(* (/ (- x y) (+ (* x x) (* y y))) (+ y x))
17.6b
(/ (- x y) (+ (* x x) (* y y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 flip3-+ flip-+ associate-/l* add-log-exp
4×associate-*r* associate-/r/
3×associate-/r*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- distribute-lft-out
Counts
3 → 98
Calls
3 calls:
8.0ms
(+ (* x x) (* y y))
61.0ms
(* (/ (- x y) (+ (* x x) (* y y))) (+ y x))
33.0ms
(/ (- x y) (+ (* x x) (* y y)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* y y))
85.0ms
(* (/ (- x y) (+ (* x x) (* y y))) (+ y x))
59.0ms
(/ (- x y) (+ (* x x) (* y y)))

simplify2.2s

Counts
107 → 107
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01541874
15821841
237451667
done50011663

prune434.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune5.0ms

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

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.4b

regimes145.0ms

Accuracy

76.3% (4.8b remaining)

Error of 5.2b against oracle of 0.4b and baseline of 20.6b

bsearch124.0ms

Steps
ItersRangePoint
8
3.0697458737688045e-176
6.207243603587157e-172
6.063147406567814e-172
10
-3.960784325787475e-147
-3.7285077835606137e-166
-5.474279079913777e-158
10
-1.5267289333124932e+164
-1.626953607814572e+151
-1.8197648299093187e+151

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02044
12830
done2830

end0.0ms

sample1.0s

Algorithm
intervals
Results
577.0ms8000×body80valid
165.0ms8000×pre80true