Details

Time bar (total: 7.8s)

sample25.0ms

Algorithm
intervals
Results
10.0ms334×body80valid

simplify260.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1139
2209
3299
4409
5459
6519
7689
8989
91459
101879
112049
122319
132549
142559
done2559

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- x 1.0) z))
0.0b
(* (- x 1.0) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ (* x y) (* (- x 1.0) z))
7.0ms
(* (- x 1.0) z)

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (* x y) (* (- x 1.0) z))
5.0ms
(* (- x 1.0) z)

simplify1.8s

Counts
39 → 39
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
071405
1186373
2671345
32914345
done5000345

prune54.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.3b
(* (- (* x x) (* 1.0 1.0)) z)
5.0b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
7.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms
(* (- (* x x) (* 1.0 1.0)) z)
10.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series30.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
7.0ms
(* (- (* x x) (* 1.0 1.0)) z)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify752.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
01231163
13671080
21460948
done5000948

prune84.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh112
Picked011
Done011
Total68472

Merged error: 0.0b

Counts
72 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x z) z)
0.0b
(+ (* x y) (* 1.0 (- (* x z) z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
4×associate-+r+
3×sub-neg *-un-lft-identity
2×pow1 add-exp-log distribute-rgt-in add-sqr-sqrt add-cube-cbrt distribute-lft-in add-cbrt-cube
1×+-commutative flip3-- distribute-rgt-out-- flip3-+ diff-log sum-log flip-- flip-+
Counts
2 → 28
Calls
2 calls:
4.0ms
(- (* x z) z)
4.0ms
(+ (* x y) (* 1.0 (- (* x z) z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (* x z) z)
9.0ms
(+ (* x y) (* 1.0 (- (* x z) z)))

simplify1.0s

Counts
34 → 34
Iterations

Useful iterations: 3 (242.0ms)

IterNodesCost
059423
1174411
2520363
31888359
done5001359

prune39.0ms

Filtered
23 candidates to 34 candidates (-47.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New34034
Fresh011
Picked011
Done022
Total34438

Merged error: 0.0b

Counts
38 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.3b
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt sqrt-div
11×associate-*l*
10×sqrt-pow1 pow1/2
9×associate-*r*
8×add-exp-log flip3-+ swap-sqr add-cbrt-cube flip-+
5×pow-prod-up unswap-sqr
4×frac-times pow-prod-down associate-*l/ add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*r/ prod-exp *-commutative cbrt-unprod
1×pow2 flip3-- pow-plus sqrt-unprod rem-square-sqrt flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
7.0ms
(* (- x 1.0) z)
4.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
4.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
12.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- x 1.0) z)
19.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
23.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
8.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify2.5s

Counts
121 → 121
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01462503
13161782
210441662
343351611
done50011611

prune153.0ms

Filtered
71 candidates to 121 candidates (-70.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1201121
Fresh000
Picked011
Done123
Total1214125

Merged error: 0b

Counts
125 → 4

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample714.0ms

Algorithm
intervals
Results
305.0ms10234×body80valid

Profiling

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