Details

Time bar (total: 15.6s)

sample81.0ms

Algorithm
intervals
Results
25.0ms47×body1280valid
16.0ms50×body640valid
9.0ms154×body80valid
6.0ms29×body320valid
4.0ms93×body80nan
2.0ms15×body160valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5001
61961
5488
4149
352
224
115
08

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ y x))
0.0b
(/ (pow (/ x (+ y x)) x) x)
7.1b
(pow (/ x (+ y x)) x)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
associate-/r* add-cbrt-cube div-exp div-inv
flip3-+ flip-+
sqr-pow
pow1 pow-exp
pow-unpow add-log-exp
pow-to-exp cbrt-undiv clear-num frac-2neg
pow-pow
Counts
3 → 172
Calls
3 calls:
9.0ms
(/ x (+ y x))
52.0ms
(/ (pow (/ x (+ y x)) x) x)
27.0ms
(pow (/ x (+ y x)) x)

series613.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ x (+ y x))
186.0ms
(/ (pow (/ x (+ y x)) x) x)
374.0ms
(pow (/ x (+ y x)) x)

simplify1.4s

Counts
181 → 181
Iterations
IterNodes
done5000
22829
1650
0276

prune795.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (sqrt (/ x (+ y x))) x)
1.0b
(pow (sqrt (/ x (+ y x))) x)
6.1b
(sqrt (/ x (+ y x)))
6.1b
(sqrt (/ x (+ y x)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
64×*-un-lft-identity
50×times-frac
46×add-sqr-sqrt
42×unpow-prod-down
40×add-cube-cbrt
12×distribute-lft-out
10×pow1
associate-/r/
pow-unpow pow-pow add-exp-log
rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 flip-+ div-inv add-log-exp
pow-to-exp sqrt-div pow-exp sqrt-pow2 sqr-pow
Counts
4 → 136
Calls
4 calls:
29.0ms
(pow (sqrt (/ x (+ y x))) x)
20.0ms
(pow (sqrt (/ x (+ y x))) x)
9.0ms
(sqrt (/ x (+ y x)))
9.0ms
(sqrt (/ x (+ y x)))

series933.0ms

Counts
4 → 12
Calls
4 calls:
394.0ms
(pow (sqrt (/ x (+ y x))) x)
349.0ms
(pow (sqrt (/ x (+ y x))) x)
107.0ms
(sqrt (/ x (+ y x)))
82.0ms
(sqrt (/ x (+ y x)))

simplify757.0ms

Counts
148 → 148
Iterations
IterNodes
done5001
21580
1463
0163

prune863.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp (- y)) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube associate-/l*
add-exp-log associate-/l/
neg-sub0 exp-neg pow1 cbrt-undiv clear-num frac-2neg exp-diff div-exp div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (exp (- y)) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (exp (- y)) x)

simplify2.6s

Counts
32 → 32
Iterations
IterNodes
done5002
33577
2483
1125
064

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (exp y) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
add-exp-log
pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
19.0ms
(* (exp y) x)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (exp y) x)

simplify1.5s

Counts
21 → 21
Iterations
IterNodes
done5000
32526
2363
190
039

prune77.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes151.0ms

Accuracy

88.7% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 11.1b

bsearch128.0ms

Steps
ItersRangePoint
7
1.7539545009857217e-09
1.583250720483607e-07
1.5532396297501046e-07
8
-7.401310054484922
-0.0026299734882229615
-2.779773110456056

simplify3.0ms

Iterations
IterNodes
done29
129
023

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.1s1476×body1280valid
901.0ms4897×body80valid
639.0ms1439×body640valid
306.0ms877×body320valid
205.0ms3050×body80nan
87.0ms447×body160valid