Details

Time bar (total: 9.2s)

sample41.0ms

Algorithm
intervals
Results
19.0ms311×body80valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66112
76312
done6312

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

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)
2.4b
(* (/ x y) z)

rewrite135.0ms

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:
87.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(/ (+ x 4.0) y)
16.0ms
(* (/ x y) z)

series120.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms
(/ (+ x 4.0) y)
35.0ms
(* (/ x y) z)

simplify1.7s

Counts
126 → 126
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01651542
14121481
220901348
done50011303

prune322.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.9b
(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))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

simplify332.0ms

Counts
13 → 13
Iterations

Useful iterations: done (331.0ms)

IterNodesCost
025184
146181
2109158
3516158
done5001149

prune46.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))
2.4b
(* (/ x y) z)

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
304×times-frac
226×*-un-lft-identity
163×add-sqr-sqrt
158×add-cube-cbrt
59×fma-neg prod-diff
34×distribute-lft-out
25×associate-/r/
22×add-exp-log associate-/r*
16×add-cbrt-cube
15×div-inv
13×associate-*l*
11×flip3-+ flip-+
9×div-exp
7×pow1
6×associate-/l* add-log-exp
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
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 → 300
Calls
4 calls:
12.0ms
(/ y (+ x 4.0))
127.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
23.0ms
(/ 1 (/ y (+ x 4.0)))
16.0ms
(* (/ x y) z)

series167.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ y (+ x 4.0))
76.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
26.0ms
(/ 1 (/ y (+ x 4.0)))
27.0ms
(* (/ x y) z)

simplify787.0ms

Counts
312 → 312
Iterations

Useful iterations: done (779.0ms)

IterNodesCost
03365044
18784471
done50004138

prune751.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(* (* (cbrt z) (cbrt z)) (/ x y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
12×add-cbrt-cube
10×times-frac
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
41.0ms
(* (* (cbrt z) (cbrt z)) (/ x y))

series961.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt z)
279.0ms
(cbrt z)
271.0ms
(cbrt z)
167.0ms
(* (* (cbrt z) (cbrt z)) (/ x y))

simplify1.9s

Counts
88 → 88
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0105712
1306679
22131527
done5000518

prune355.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.0s

Algorithm
intervals
Results
617.0ms10120×body80valid