Details

Time bar (total: 13.5s)

sample24.0ms

Algorithm
intervals
Results
9.0ms307×body80valid

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2439
31069
41879
52679
63769
78259
844729
done50019

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.7b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
9.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

series18.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.8s

Counts
53 → 53
Iterations

Useful iterations: 3 (781.0ms)

IterNodesCost
096609
1257593
2824499
34097485
done5001485

prune77.0ms

Filtered
37 candidates to 53 candidates (-43.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0.0b

Counts
54 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
2.7b
(* (/ x z) (+ 1.0 y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
11.0ms
(- (* (/ x z) (+ 1.0 y)) x)
9.0ms
(* (/ x z) (+ 1.0 y))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* (/ x z) (+ 1.0 y)) x)
9.0ms
(* (/ x z) (+ 1.0 y))

simplify2.3s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0114680
1364628
21116582
34422576
done5000576

prune73.0ms

Filtered
44 candidates to 59 candidates (-34.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58159
Fresh134
Picked011
Done000
Total59564

Merged error: 0.0b

Counts
64 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
8.0ms
(/ z (+ (- y z) 1.0))
12.0ms
(/ x (/ z (+ (- y z) 1.0)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ z (+ (- y z) 1.0))
14.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify823.0ms

Counts
145 → 145
Iterations

Useful iterations: done (818.0ms)

IterNodesCost
02002400
14552236
214892142
done50002122

prune152.0ms

Filtered
93 candidates to 145 candidates (-55.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh033
Picked011
Done011
Total1446150

Merged error: 0b

Counts
150 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.2b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
3.5b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
9.0ms
(/ z (+ (- y z) 1.0))
23.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
13.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series27.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ z (+ (- y z) 1.0))
9.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
11.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify1.4s

Counts
444 → 444
Iterations

Useful iterations: done (1.4s)

IterNodesCost
05149555
112888323
227567475
done50007431

prune310.0ms

Filtered
196 candidates to 444 candidates (-126.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4440444
Fresh033
Picked011
Done022
Total4446450

Merged error: 0b

Counts
450 → 6

regimes169.0ms

Accuracy

89.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch32.0ms

Steps
ItersRangePoint
8
1.070528705284242e+17
3.5140278210479145e+19
1.0823778184392162e+17
8
-5.7133000991277416e-129
-8.462279673133754e-132
-4.698419356723236e-129

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01937
12729
done2729

end0.0ms

sample710.0ms

Algorithm
intervals
Results
311.0ms10031×body80valid

Profiling

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