Details

Time bar (total: 3.3s)

sample22.0ms

Algorithm
intervals
Results
9.0ms312×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546
done546

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
19.0ms
(/ (+ x 4.0) y)
57.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
15.0ms
(* (/ x y) z)

series97.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
45.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms
(* (/ x y) z)

simplify113.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0341425
11212395
24978394
35002394
done5002394

prune199.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×associate-*r/
10×add-cube-cbrt times-frac frac-add
7×add-exp-log add-cbrt-cube
6×frac-times flip3-- associate-*r* flip--
5×un-div-inv
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
3×associate-*l/
2×prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
19.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
36.0ms
(* (/ x y) (- 1 z))

series92.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
47.0ms
(* (/ x y) (- 1 z))

simplify48.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0416496
11863440
25001435
done5001435

prune161.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
8×distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
5×associate-*l*
4×sub-neg flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
101.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
172.0ms
(cbrt x)
187.0ms
(cbrt x)
44.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

simplify90.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
05841369
13690853
25001671
done5001671

prune263.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.5b
(* x (/ z y))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
19.0ms
(/ (+ x 4.0) y)
55.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
14.0ms
(* x (/ z y))

series97.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
45.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
24.0ms
(* x (/ z y))

simplify40.0ms

Counts
88 → 88
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349430
11432403
25001403
done5001403

prune183.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

26.7% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.1b

bsearch49.0ms

Steps
ItersRangePoint
10
-4.606170017860718e+49
-6.828566927568599e+34
-1.0327655634468861e+47

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813
done2813

end0.0ms

sample734.0ms

Algorithm
intervals
Results
435.0ms10092×body80valid