Details

Time bar (total: 12.8s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
18123
done8123

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
associate-/r* associate-/l*
add-cbrt-cube add-exp-log
flip3-+ associate-/r/ flip-+ associate-/l/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
50.0ms
(/ (+ x y) (+ y 1.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (+ x y) (+ y 1.0))

simplify3.5s

Counts
45 → 45
Iterations

Useful iterations: 3 (948.0ms)

IterNodesCost
08011199
120310317
267010092
3258610067
done500710067

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
0.1b
(* (* y y) y)
5.6b
(/ (+ y x) (fma (* 1.0 1.0) 1.0 (* (* y y) y)))
17.3b
(* (/ (+ y x) (fma (* 1.0 1.0) 1.0 (* (* y y) y))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
25×pow1 times-frac
23×add-cube-cbrt
17×associate-*l*
16×add-cbrt-cube add-exp-log
add-log-exp
distribute-lft-out
pow-plus associate-*r* pow-prod-up
prod-exp cbrt-unprod
expm1-log1p-u flip3-+ pow-prod-down flip-+ log1p-expm1-u associate-/l*
associate-+r+ associate-/r* unswap-sqr
pow2 frac-times cbrt-undiv sum-log div-exp associate-*r/ pow-sqr *-commutative div-inv associate-/l/
distribute-rgt-in +-commutative clear-num associate-+r- sub-neg fma-def frac-2neg distribute-lft-in diff-log prod-diff pow3 associate-*l/
Counts
4 → 127
Calls
4 calls:
16.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
15.0ms
(* (* y y) y)
15.0ms
(/ (+ y x) (fma (* 1.0 1.0) 1.0 (* (* y y) y)))
94.0ms
(* (/ (+ y x) (fma (* 1.0 1.0) 1.0 (* (* y y) y))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
45.0ms
(* (* y y) y)
77.0ms
(/ (+ y x) (fma (* 1.0 1.0) 1.0 (* (* y y) y)))
85.0ms
(* (/ (+ y x) (fma (* 1.0 1.0) 1.0 (* (* y y) y))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify3.3s

Counts
139 → 139
Iterations

Useful iterations: done (3.3s)

IterNodesCost
019050942
161844855
2270643977
done501143857

prune650.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
0.0b
(* (+ y x) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
0.1b
(* (* y y) y)
24.1b
(/ (* (+ y x) (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (fma (* 1.0 1.0) 1.0 (* (* y y) y)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1
16×add-cbrt-cube add-exp-log
13×flip3-+ flip-+
12×add-sqr-sqrt
11×*-un-lft-identity
add-cube-cbrt add-log-exp
frac-times associate-/l/
pow-plus associate-*r* pow-prod-up
associate-*l* prod-exp cbrt-unprod
expm1-log1p-u pow-prod-down associate-*l/ associate-*r/ log1p-expm1-u
associate-+r+ associate-/r* times-frac
pow2 cbrt-undiv sum-log div-exp pow-sqr *-commutative unswap-sqr
distribute-rgt-in +-commutative clear-num associate-+r- sub-neg fma-def frac-2neg distribute-lft-in diff-log prod-diff pow3 div-inv distribute-lft-out associate-/l*
Counts
4 → 111
Calls
4 calls:
15.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
85.0ms
(* (+ y x) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
15.0ms
(* (* y y) y)
47.0ms
(/ (* (+ y x) (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (fma (* 1.0 1.0) 1.0 (* (* y y) y)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
53.0ms
(* (+ y x) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
37.0ms
(* (* y y) y)
96.0ms
(/ (* (+ y x) (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (fma (* 1.0 1.0) 1.0 (* (* y y) y)))

simplify2.7s

Counts
123 → 123
Iterations

Useful iterations: done (2.7s)

IterNodesCost
018043194
158034071
2240832809
done501232654

prune696.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06123
18123
done8123

end0.0ms

sample561.0ms

Algorithm
intervals
Results
292.0ms7998×body80valid
0.0msbody1280valid
0.0msbody320valid