Details

Time bar (total: 15.0s)

sample43.0ms

Algorithm
intervals
Results
18.0ms324×body80valid

simplify74.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65312
done5312

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

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:
84.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms
(/ (+ x 4.0) y)
21.0ms
(* (/ x y) z)

series160.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
45.0ms
(/ (+ x 4.0) y)
39.0ms
(* (/ x y) z)

simplify2.5s

Counts
88 → 88
Iterations

Useful iterations: 2 (217.0ms)

IterNodesCost
0142904
1340859
2978785
32995785
done5000785

prune291.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
8.4b
(cbrt (/ x y))
8.4b
(cbrt (/ x y))
8.4b
(cbrt (/ x y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
79.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series299.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
85.0ms
(cbrt (/ x y))
100.0ms
(cbrt (/ x y))
77.0ms
(cbrt (/ x y))

simplify5.1s

Counts
107 → 107
Iterations

Useful iterations: done (5.1s)

IterNodesCost
01211301
12571253
2726987
31847879
44903849
done5000828

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
3.6b
(/ (- (+ x 4.0) (* x z)) y)

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
45.0ms
(- (+ x 4.0) (* x z))
108.0ms
(/ (- (+ x 4.0) (* x z)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (+ x 4.0) (* x z))
56.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify1.8s

Counts
50 → 50
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
083705
1207685
2666629
32602629
done5001629

prune156.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
0.0b
(/ (+ x 4.0) y)
7.0b
(* x (/ z y))

rewrite117.0ms

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:
70.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
21.0ms
(/ (+ x 4.0) y)
22.0ms
(* x (/ z y))

series114.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
40.0ms
(/ (+ x 4.0) y)
29.0ms
(* x (/ z y))

simplify2.2s

Counts
88 → 88
Iterations

Useful iterations: 2 (179.0ms)

IterNodesCost
0142920
1345863
2969797
32892797
done5000797

prune259.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

67.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.8b

bsearch91.0ms

Steps
ItersRangePoint
7
1.874856842044239e-66
1.3616282466700734e-64
4.614698310712485e-65
10
-8.724888224188333e+91
-6.417661247455861e+80
-2.715123584991496e+82

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample831.0ms

Algorithm
intervals
Results
400.0ms10065×body80valid