Details

Time bar (total: 8.2s)

sample26.0ms

Algorithm
intervals
Results
12.0ms321×body80valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66012
76212
done6212

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
1.7b
(* (/ x y) z)

rewrite100.0ms

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:
62.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
18.0ms
(/ (+ x 4.0) y)
15.0ms
(* (/ x y) z)

series102.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms
(/ (+ x 4.0) y)
23.0ms
(* (/ x y) z)

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01651542
13981481
211551348
337411275
done50001256

prune293.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.8b
(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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

simplify843.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
025184
146181
2104158
3280149
41299149
done5000149

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))
1.7b
(* (/ x y) z)

rewrite36.0ms

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-exp-log add-cbrt-cube distribute-lft-out
6×pow1
4×expm1-log1p-u 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 → 115
Calls
4 calls:
6.0ms
(cbrt (/ (+ x 4.0) y))
5.0ms
(cbrt (/ (+ x 4.0) y))
6.0ms
(cbrt (/ (+ x 4.0) y))
15.0ms
(* (/ x y) z)

series322.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (/ (+ x 4.0) y))
95.0ms
(cbrt (/ (+ x 4.0) y))
102.0ms
(cbrt (/ (+ x 4.0) y))
27.0ms
(* (/ x y) z)

simplify1.5s

Counts
127 → 127
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01701707
13351645
28561529
323301373
done50001310

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (/ (* x z) y))
0.0b
(/ (+ x 4.0) y)
5.8b
(/ (* x z) y)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
168×*-un-lft-identity
160×times-frac
115×add-sqr-sqrt
112×prod-diff
110×add-cube-cbrt
28×div-inv distribute-lft-out
16×fma-neg
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×associate-/l* add-log-exp
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×frac-2neg clear-num associate-/l/ difference-of-squares
1×sub-neg flip3-- distribute-rgt-out-- flip3-+ diff-log prod-exp frac-sub flip-- cbrt-unprod flip-+ distribute-lft-out-- sub-div
Counts
3 → 206
Calls
3 calls:
67.0ms
(- (/ (+ x 4.0) y) (/ (* x z) y))
18.0ms
(/ (+ x 4.0) y)
12.0ms
(/ (* x z) y)

series98.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (/ (+ x 4.0) y) (/ (* x z) y))
31.0ms
(/ (+ x 4.0) y)
22.0ms
(/ (* x z) y)

simplify1.3s

Counts
215 → 215
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02506423
15875144
216094263
done50003477

prune336.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample590.0ms

Algorithm
intervals
Results
290.0ms10117×body80valid