Details

Time bar (total: 12.4s)

sample26.0ms

Algorithm
intervals
Results
10.0ms336×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2349
3779
41749
52589
63519
74139
85859
96629
107739
1110539
1219229
1322209
1423739
done23739

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
7.0ms
(* (- 1.0 y) z)
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 y) z)
12.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.6s

Counts
52 → 52
Iterations

Useful iterations: 3 (565.0ms)

IterNodesCost
093536
1212518
2638458
32415450
done5001450

prune81.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh000
Picked011
Done000
Total46753

Merged error: 0.0b

Counts
53 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.9b
(* (* x z) (- y 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
5.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

series23.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
11.0ms
(* (* x z) (- y 1.0))

simplify3.0s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
090589
1255557
21009453
34839451
done5000451

prune65.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh145
Picked011
Done011
Total46854

Merged error: 0.0b

Counts
54 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* (- 1.0 y) z))))
4.3b
(* x (- 1.0 (* (- 1.0 y) z)))
4.3b
(* x (- 1.0 (* (- 1.0 y) z)))
4.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
4.0ms
(cbrt (* x (- 1.0 (* (- 1.0 y) z))))
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (* x (- 1.0 (* (- 1.0 y) z))))
12.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
12.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
12.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.1s

Counts
95 → 95
Iterations

Useful iterations: 3 (406.0ms)

IterNodesCost
01231408
13011372
28391208
328681120
done50001120

prune216.0ms

Filtered
70 candidates to 95 candidates (-35.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done022
Total958103

Merged error: 0.0b

Counts
103 → 8

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
6.8b
(* (* x z) (- (* y y) (* 1.0 1.0)))
7.4b
(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1
6×add-sqr-sqrt add-cube-cbrt prod-exp cbrt-unprod
5×add-log-exp
4×times-frac associate-*r/ associate-*r* associate-/r*
3×cbrt-undiv div-exp pow-prod-down
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg associate-*l* clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares
Counts
3 → 65
Calls
3 calls:
7.0ms
(+ (* x 1.0) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
8.0ms
(* (* x z) (- (* y y) (* 1.0 1.0)))
12.0ms
(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))

series77.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* x 1.0) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
16.0ms
(* (* x z) (- (* y y) (* 1.0 1.0)))
23.0ms
(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))

simplify1.1s

Counts
74 → 74
Iterations

Useful iterations: 2 (325.0ms)

IterNodesCost
01401471
14541391
220861149
done50001149

prune85.0ms

Filtered
50 candidates to 74 candidates (-48.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done033
Total74882

Merged error: 0.0b

Counts
82 → 8

regimes698.0ms

Accuracy

92.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01947
12837
done2837

end0.0ms

sample699.0ms

Algorithm
intervals
Results
300.0ms10272×body80valid

Profiling

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