Details

Time bar (total: 11.5s)

sample38.0ms

Algorithm
intervals
Results
24.0ms324×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done63
763
661
555
449
342
229
116
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
3.3b
(* (/ x y) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
15.0ms
(/ (+ x 4) y)
54.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
10.0ms
(* (/ x y) z)

series146.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (+ x 4) y)
68.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
31.0ms
(* (/ x y) z)

simplify1.9s

Counts
129 → 129
Iterations
IterNodes
done5001
22053
1416
0168

prune618.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* x (/ z y)))
7.0b
(* x (/ z y))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*r*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* associate-*r/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
14.0ms
(/ (+ x 4) y)
46.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
13.0ms
(* x (/ z y))

series135.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (+ x 4) y)
77.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
30.0ms
(* x (/ z y))

simplify1.2s

Counts
129 → 129
Iterations
IterNodes
done5002
21741
1437
0168

prune617.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x 4) y))
0.6b
(cbrt (/ (+ x 4) y))
0.6b
(cbrt (/ (+ x 4) y))
3.3b
(* (/ x y) z)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
48×cbrt-prod
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
13×associate-*l*
9×add-cbrt-cube add-exp-log distribute-lft-out
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 119
Calls
4 calls:
6.0ms
(cbrt (/ (+ x 4) y))
6.0ms
(cbrt (/ (+ x 4) y))
6.0ms
(cbrt (/ (+ x 4) y))
26.0ms
(* (/ x y) z)

series389.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (/ (+ x 4) y))
98.0ms
(cbrt (/ (+ x 4) y))
119.0ms
(cbrt (/ (+ x 4) y))
39.0ms
(* (/ x y) z)

simplify1.2s

Counts
131 → 131
Iterations
IterNodes
done5001
21282
1344
0172

prune826.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

4.0b
(/ (- (+ x 4) (* x z)) y)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 33
Calls
1 calls:
80.0ms
(/ (- (+ x 4) (* x z)) y)

series58.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (- (+ x 4) (* x z)) y)

simplify1.9s

Counts
36 → 36
Iterations
IterNodes
done5000
34006
2637
1176
071

prune123.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes214.0ms

Accuracy

85.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch109.0ms

Steps
ItersRangePoint
9
5.806846775016059e-135
5.717607527494267e-130
5.426503285374244e-130
9
-1.0774777323356615e+55
-4.149058296280013e+49
-4.5186598216349587e+49

simplify6.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s10058×body80valid