Details

Time bar (total: 34.9s)

sample40.0ms

Algorithm
intervals
Results
18.0ms334×body80valid

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11912
24912
36612
46812
done6812

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.4b
(* (/ x y) z)

rewrite177.0ms

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:
38.0ms
(/ (+ x 4.0) y)
114.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
16.0ms
(* (/ x y) z)

series150.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (+ x 4.0) y)
81.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
33.0ms
(* (/ x y) z)

simplify5.8s

Counts
126 → 126
Iterations

Useful iterations: done (5.8s)

IterNodesCost
01651542
117311465
done50001348

prune472.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
3.3b
(* (/ x y) (- 1 z))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
36×prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 frac-times sub-neg flip3-- associate-*r/ flip-- add-log-exp
2×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 104
Calls
2 calls:
33.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
44.0ms
(* (/ x y) (- 1 z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
46.0ms
(* (/ x y) (- 1 z))

simplify7.3s

Counts
110 → 110
Iterations

Useful iterations: done (7.3s)

IterNodesCost
02001883
127401319
done50011250

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.6b
(* x (/ z y))

rewrite151.0ms

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:
37.0ms
(/ (+ x 4.0) y)
91.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
15.0ms
(* x (/ z y))

series167.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (+ x 4.0) y)
79.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
41.0ms
(* x (/ z y))

simplify5.4s

Counts
126 → 126
Iterations

Useful iterations: done (5.4s)

IterNodesCost
01651558
117551437
done50001352

prune497.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.7b
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
12.3b
(cbrt (/ z y))
12.3b
(cbrt (/ z y))
12.3b
(cbrt (/ z y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 96
Calls
4 calls:
55.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))
3.0ms
(cbrt (/ z y))

series453.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
90.0ms
(cbrt (/ z y))
124.0ms
(cbrt (/ z y))
92.0ms
(cbrt (/ z y))

simplify11.1s

Counts
108 → 108
Iterations

Useful iterations: done (11.1s)

IterNodesCost
01311112
14701065
done5000971

prune530.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

36.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.6b

bsearch121.0ms

Steps
ItersRangePoint
8
9.68315564869146e-167
5.2133707281675864e-163
5.1458150027442665e-163
8
-1.5687549986519656e+132
-2.6401088364687958e+128
-7.768829658364722e+128

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s10209×body80valid