Details

Time bar (total: 4.3s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11512
22212
done2212

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b
(* 1.1283791670955126 (exp z))
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 71
Calls
4 calls:
10.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
6.0ms
(* 1.1283791670955126 (exp z))
9.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
3.0ms
(* 1.1283791670955126 (exp z))
12.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
24.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify650.0ms

Counts
83 → 83
Iterations

Useful iterations: done (647.0ms)

IterNodesCost
01411154
13341095
28921022
322251014
done50001013

prune126.0ms

Filtered
64 candidates to 83 candidates (-29.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New80383
Fresh000
Picked101
Done000
Total81384

Merged error: 0b

Counts
84 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt 1.1283791670955126) (exp z))
0.4b
(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
1.0b
(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
7.5b
(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
12×associate-*l*
11×pow1 add-exp-log
9×times-frac
7×sqrt-prod
6×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×associate-/r* associate-/l*
2×flip3-- associate-/r/ *-commutative flip-- unswap-sqr
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 84
Calls
4 calls:
7.0ms
(* (sqrt 1.1283791670955126) (exp z))
10.0ms
(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
9.0ms
(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
11.0ms
(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (sqrt 1.1283791670955126) (exp z))
6.0ms
(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
19.0ms
(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
41.0ms
(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

simplify1.4s

Counts
96 → 96
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01461499
13541137
212451001
34176980
done5000979

prune138.0ms

Filtered
71 candidates to 96 candidates (-35.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done000
Total96399

Merged error: 0b

Counts
99 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3)
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b
(/ y (cbrt (pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3)))
12.4b
(cbrt (pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
15×associate-/r*
7×add-exp-log
6×cube-div cube-mult unpow3 add-cbrt-cube add-log-exp sqr-pow
5×pow1
4×cbrt-div flip3-- flip--
3×pow-unpow associate-/l*
2×associate-/r/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 137
Calls
4 calls:
6.0ms
(pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3)
5.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
10.0ms
(/ y (cbrt (pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3)))
6.0ms
(cbrt (pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3))

series81.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3)
13.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
24.0ms
(/ y (cbrt (pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3)))
13.0ms
(cbrt (pow (- (* 1.1283791670955126 (exp z)) (* x y)) 3))

simplify446.0ms

Counts
149 → 149
Iterations

Useful iterations: done (438.0ms)

IterNodesCost
02063186
14512715
214712401
done50012353

prune174.0ms

Filtered
87 candidates to 149 candidates (-71.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh011
Picked011
Done011
Total1493152

Merged error: 0b

Counts
152 → 3

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0b

Counts
3 → 3

regimes288.0ms

Accuracy

59.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch27.0ms

Steps
ItersRangePoint
13
0.0
4.463607629044051e-229
4.198407545007997e-307

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01826
12426
done2426

end0.0ms

sample659.0ms

Algorithm
intervals
Results
336.0ms8000×body80valid

Profiling

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