Details

Time bar (total: 26.5s)

sample48.0ms

Algorithm
intervals
Results
32.0ms330×body80valid

simplify85.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
2.1b
(* (/ x y) z)

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
597×*-un-lft-identity
512×add-sqr-sqrt
487×times-frac
406×add-cube-cbrt
368×prod-diff
228×associate-*l*
124×associate-*l/
108×frac-sub
88×distribute-lft-out
79×associate-/l*
77×associate-/r*
51×associate-*r*
42×div-inv
38×unswap-sqr
25×frac-2neg
23×clear-num
20×associate-/l/
17×*-commutative
16×fma-neg
10×flip3-+ add-cbrt-cube add-exp-log flip-+
8×distribute-lft-out--
7×sub-div
6×difference-of-squares
5×pow1 add-log-exp
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×sub-neg flip3-- diff-log pow-prod-down flip--
Counts
3 → 607
Calls
3 calls:
29.0ms
(/ (+ x 4) y)
184.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
23.0ms
(* (/ x y) z)

series158.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (+ x 4) y)
75.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
49.0ms
(* (/ x y) z)

simplify1.9s

Counts
616 → 616
Iterations
IterNodes
done5000
12624
0842

prune3.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
2.1b
(* (/ x y) z)

rewrite597.0ms

Algorithm
rewrite-expression-head
Rules
914×*-un-lft-identity
810×frac-add
792×associate-/r* associate-/l*
756×associate-*l/
749×add-sqr-sqrt
747×frac-sub
695×add-cube-cbrt
264×clear-num frac-2neg
259×times-frac
184×prod-diff
122×associate-*l*
105×distribute-lft-out
60×div-inv
27×associate-*r*
25×distribute-rgt-out
20×unswap-sqr
13×fma-def
10×flip3-+ flip-+ add-log-exp
9×*-commutative
8×add-cbrt-cube fma-neg add-exp-log
7×distribute-lft-out--
5×pow1
3×expm1-log1p-u insert-posit16 log1p-expm1-u difference-of-squares
2×+-commutative sum-log diff-log prod-exp associate--l+ cbrt-unprod
1×cbrt-undiv sub-neg flip3-- div-exp pow-prod-down flip--
Counts
3 → 1123
Calls
3 calls:
31.0ms
(+ (/ x y) (/ 4 y))
428.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
18.0ms
(* (/ x y) z)

series126.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ x y) (/ 4 y))
65.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify2.8s

Counts
1132 → 1132
Iterations
IterNodes
done5000
02383

prune4.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (/ z (/ y x)))
2.2b
(/ z (/ y x))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
1900×times-frac
1581×*-un-lft-identity
1227×add-sqr-sqrt
1206×add-cube-cbrt
832×prod-diff
280×associate-/r*
228×frac-sub
183×distribute-lft-out
170×associate-/l*
153×associate-/r/
135×div-inv
50×clear-num frac-2neg
40×associate-/l/
20×flip3-+ flip-+
16×fma-neg
10×add-cbrt-cube add-exp-log
6×difference-of-squares
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u distribute-lft-out--
1×sub-neg flip3-- diff-log flip--
Counts
3 → 1217
Calls
3 calls:
18.0ms
(/ (+ x 4) y)
231.0ms
(- (/ (+ x 4) y) (/ z (/ y x)))
14.0ms
(/ z (/ y x))

series122.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (+ x 4) y)
69.0ms
(- (/ (+ x 4) y) (/ z (/ y x)))
24.0ms
(/ z (/ y x))

simplify1.9s

Counts
1226 → 1226
Iterations
IterNodes
done5000
01761

prune6.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
9.1b
(cbrt (/ y x))
9.1b
(cbrt (/ y x))
9.1b
(cbrt (/ y x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-div times-frac
9×associate-/r* associate-/l*
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg div-inv
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt z)
5.0ms
(cbrt (/ y x))
5.0ms
(cbrt (/ y x))
5.0ms
(cbrt (/ y x))

series526.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt z)
89.0ms
(cbrt (/ y x))
90.0ms
(cbrt (/ y x))
103.0ms
(cbrt (/ y x))

simplify1.4s

Counts
125 → 125
Iterations
IterNodes
done5001
41904
3683
2314
1177
0120

prune778.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10180×body80valid