Details

Time bar (total: 15.3s)

sample45.0ms

Algorithm
intervals
Results
19.0ms324×body80valid

simplify113.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66012
76212
done6212

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize18.0ms

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)

rewrite154.0ms

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:
89.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(/ (+ x 4.0) y)
30.0ms
(* (/ x y) z)

series119.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
28.0ms
(/ (+ x 4.0) y)
34.0ms
(* (/ x y) z)

simplify2.5s

Counts
126 → 126
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01651542
13981481
211551348
337411275
done50001256

prune428.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite96.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
79.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))

series249.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
66.0ms
(cbrt (/ x y))
71.0ms
(cbrt (/ x y))
80.0ms
(cbrt (/ x y))

simplify5.1s

Counts
115 → 115
Iterations

Useful iterations: 4 (3.7s)

IterNodesCost
01251365
12611317
27371035
31857921
44945891
done5000891

prune350.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-exp-log fma-neg prod-diff add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- diff-log flip-- log1p-expm1-u associate-/l/ distribute-lft-out
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 56
Calls
2 calls:
62.0ms
(- (+ x 4.0) (* x z))
84.0ms
(/ (- (+ x 4.0) (* x z)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (+ x 4.0) (* x z))
58.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify2.2s

Counts
62 → 62
Iterations

Useful iterations: done (2.2s)

IterNodesCost
097834
1232809
2730737
33028729
done5001725

prune191.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite144.0ms

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:
86.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
26.0ms
(/ (+ x 4.0) y)
24.0ms
(* x (/ z y))

series108.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
30.0ms
(/ (+ x 4.0) y)
29.0ms
(* x (/ z y))

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01651558
14051485
211421360
335801306
done50001287

prune270.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

67.4% (0.3b remaining)

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

bsearch105.0ms

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

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample762.0ms

Algorithm
intervals
Results
373.0ms10065×body80valid