Details

Time bar (total: 11.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65312
done5312

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.1b
(* (/ x y) z)

rewrite89.0ms

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:
18.0ms
(/ (+ x 4.0) y)
52.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
15.0ms
(* (/ x y) z)

series100.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
46.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms
(* (/ x y) z)

simplify2.0s

Counts
88 → 88
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
0142904
1340859
2979785
32991785
done5001785

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
3.0b
(* (/ x y) (- 1 z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 distribute-rgt-in frac-times sub-neg associate-+l+ flip3-- distribute-lft-in associate-*r/ flip-- add-log-exp
2×associate-*l/ 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 → 63
Calls
2 calls:
21.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
34.0ms
(* (/ x y) (- 1 z))

series95.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
48.0ms
(* (/ x y) (- 1 z))

simplify2.4s

Counts
69 → 69
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0142925
1381854
21168774
34292768
done5001768

prune176.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ x y) z)
14.7b
(cbrt (* (/ x y) z))
14.7b
(cbrt (* (/ x y) z))
14.7b
(cbrt (* (/ x y) z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
15.0ms
(* (/ x y) z)
6.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))

series291.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (/ x y) z)
88.0ms
(cbrt (* (/ x y) z))
89.0ms
(cbrt (* (/ x y) z))
92.0ms
(cbrt (* (/ x y) z))

simplify2.3s

Counts
74 → 74
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0101651
1217631
2594554
31702518
done5000502

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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)))
6.4b
(* x (/ z y))

rewrite87.0ms

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:
18.0ms
(/ (+ x 4.0) y)
50.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
16.0ms
(* x (/ z y))

series95.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
48.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
21.0ms
(* x (/ z y))

simplify2.0s

Counts
88 → 88
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
0142920
1345863
2971797
32909797
done5001797

prune184.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

86.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch74.0ms

Steps
ItersRangePoint
9
1.0091046748874805e-87
1.4331405092193504e-81
4.658387895605417e-85
8
-1.895856006822293e+23
-2.174738799182788e+20
-3.935238880029573e+20

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample566.0ms

Algorithm
intervals
Results
289.0ms10026×body80valid