Details

Time bar (total: 7.5s)

sample46.0ms

Algorithm
intervals
Results
21.0ms312×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66112
76312
done6312

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.2b
(* (/ x y) z)

rewrite185.0ms

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-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 117
Calls
3 calls:
40.0ms
(/ (+ x 4.0) y)
116.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

series177.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (+ x 4.0) y)
83.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
41.0ms
(* (/ x y) z)

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01651542
14121481
220911348
done50001303

prune450.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

1.3b
(fma (/ x y) (- 1 z) (/ 4.0 y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

simplify485.0ms

Counts
13 → 13
Iterations

Useful iterations: done (484.0ms)

IterNodesCost
025184
146181
2109158
3516158
done5001149

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
4.4b
(* x (/ z y))

rewrite116.0ms

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-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 117
Calls
3 calls:
29.0ms
(/ (+ x 4.0) y)
67.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
15.0ms
(* x (/ z y))

series139.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (+ x 4.0) y)
72.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
27.0ms
(* x (/ z y))

simplify1.4s

Counts
126 → 126
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01651558
14331489
217771392
done50011350

prune431.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

4.3b
(/ (- (+ x 4.0) (* x z)) y)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
100.0ms
(/ (- (+ x 4.0) (* x z)) y)

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify557.0ms

Counts
35 → 35
Iterations

Useful iterations: done (555.0ms)

IterNodesCost
070536
1176519
2672480
done5001478

prune137.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

26.1% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.7b

bsearch69.0ms

Steps
ItersRangePoint
5
1.8424324181750938e-243
5.722140960146307e-243
2.2950993932313607e-243
8
-1.460697026387385e+53
-3.363540908543386e+49
-2.775517148444542e+50

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample945.0ms

Algorithm
intervals
Results
568.0ms10048×body80valid