Details

Time bar (total: 31.0s)

sample61.0ms

Algorithm
intervals
Results
25.0ms324×body80valid

simplify294.0ms

Counts
1 → 1
Iterations
IterNodes
done58
758
655
552
446
339
229
116
010

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize84.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b
(* (/ x y) z)

rewrite281.0ms

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:
58.0ms
(/ (+ x 4.0) y)
162.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
42.0ms
(* (/ x y) z)

series204.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (+ x 4.0) y)
95.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
61.0ms
(* (/ x y) z)

simplify3.9s

Counts
129 → 129
Iterations
IterNodes
done5004
21425
1414
0168

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize107.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0b
(* x (/ z y))

rewrite355.0ms

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:
77.0ms
(/ (+ x 4.0) y)
221.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
47.0ms
(* x (/ z y))

series195.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ (+ x 4.0) y)
90.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
41.0ms
(* x (/ z y))

simplify3.4s

Counts
129 → 129
Iterations
IterNodes
done5000
21446
1430
0168

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize194.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
3.3b
(* (/ x y) z)

rewrite111.0ms

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:
24.0ms
(cbrt (/ (+ x 4.0) y))
18.0ms
(cbrt (/ (+ x 4.0) y))
12.0ms
(cbrt (/ (+ x 4.0) y))
39.0ms
(* (/ x y) z)

series804.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (/ (+ x 4.0) y))
230.0ms
(cbrt (/ (+ x 4.0) y))
251.0ms
(cbrt (/ (+ x 4.0) y))
47.0ms
(* (/ x y) z)

simplify6.7s

Counts
131 → 131
Iterations
IterNodes
done5000
33494
2954
1343
0172

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 1 expressions with local error:

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

rewrite226.0ms

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:
224.0ms
(/ (- (+ x 4.0) (* x z)) y)

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify5.1s

Counts
36 → 36
Iterations
IterNodes
done5005
32535
2572
1176
071

prune612.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes786.0ms

Accuracy

85.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.1b

bsearch130.0ms

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

simplify21.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample1.8s

Algorithm
intervals
Results
844.0ms10058×body80valid