Details

Time bar (total: 4.6s)

sample30.0ms

Algorithm
intervals
Results
14.0ms323×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22812
33912
44612
55212
65512
done5512

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
4.0b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(/ (+ x 4.0) y)
7.0ms
(* (/ x y) z)

series21.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

simplify848.0ms

Counts
88 → 88
Iterations

Useful iterations: 3 (359.0ms)

IterNodesCost
0143904
1344859
21032791
33853785
done5001785

prune143.0ms

Filtered
66 candidates to 88 candidates (-33.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0b

Counts
89 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b
(/ 1 (/ y (+ x 4.0)))
4.0b
(* (/ x y) z)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
13×associate-*l*
11×associate-/r/
9×div-exp
7×pow1 div-inv
6×associate-/l* add-log-exp
5×cbrt-undiv flip3-+ flip-+
3×associate-*r*
2×rec-exp frac-2neg 1-exp associate-*l/ prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- pow-flip diff-log pow-prod-down *-commutative frac-sub flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
6.0ms
(/ y (+ x 4.0))
23.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
9.0ms
(/ 1 (/ y (+ x 4.0)))
7.0ms
(* (/ x y) z)

series28.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ y (+ x 4.0))
11.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
5.0ms
(/ 1 (/ y (+ x 4.0)))
6.0ms
(* (/ x y) z)

simplify487.0ms

Counts
186 → 186
Iterations

Useful iterations: done (482.0ms)

IterNodesCost
02762441
16542160
222791847
done50011835

prune202.0ms

Filtered
105 candidates to 186 candidates (-77.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh055
Picked011
Done000
Total1866192

Merged error: 0b

Counts
192 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (/ (cbrt x) y) z)
3.3b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(* (/ (cbrt x) y) z)
14.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series100.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt x)
24.0ms
(cbrt x)
35.0ms
(* (/ (cbrt x) y) z)
14.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify449.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
01761496
15031313
21655932
done5000932

prune162.0ms

Filtered
85 candidates to 121 candidates (-42.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh044
Picked011
Done011
Total1216127

Merged error: 0b

Counts
127 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
11.2b
(cbrt (/ x y))
11.2b
(cbrt (/ x y))
11.2b
(cbrt (/ x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
19.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
14.0ms
(cbrt (/ x y))
14.0ms
(cbrt (/ x y))
14.0ms
(cbrt (/ x y))

simplify658.0ms

Counts
107 → 107
Iterations

Useful iterations: 3 (294.0ms)

IterNodesCost
01251328
12731271
2779987
32401879
done5001879

prune124.0ms

Filtered
78 candidates to 107 candidates (-37.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done022
Total1076113

Merged error: 0b

Counts
113 → 6

regimes193.0ms

Accuracy

62.7% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.7b

bsearch51.0ms

Steps
ItersRangePoint
9
5.405663935890789e-124
9.656341012194637e-119
6.179403708429142e-119
10
-2.235340457316152e+91
-4.0587864488788856e+74
-6.358633502866834e+78

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample841.0ms

Algorithm
intervals
Results
422.0ms10198×body80valid

Profiling

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