Details

Time bar (total: 6.2s)

sample31.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12513
25813
310513
419113
532113
652613
785113
8137313
9216713
10315213
11413413
12495113
done500013

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
12.2b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
208×*-un-lft-identity
188×times-frac
125×add-sqr-sqrt
76×add-cube-cbrt
39×distribute-lft-out--
36×distribute-lft-out
23×difference-of-squares
19×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- div-sub flip-- associate-/l/
1×sub-neg frac-2neg diff-log clear-num associate-/r/ associate--r-
Counts
2 → 154
Calls
2 calls:
32.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
20.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series72.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
37.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify524.0ms

Counts
160 → 160
Iterations

Useful iterations: done (517.0ms)

IterNodesCost
02363456
16513223
221743112
done50003110

prune209.0ms

Filtered
94 candidates to 160 candidates (-70.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1555160
Fresh000
Picked101
Done000
Total1565161

Merged error: 0b

Counts
161 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.8b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
3.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms
(/ (- y z) (+ (- t z) 1.0))
17.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series82.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
12.0ms
(/ (- y z) (+ (- t z) 1.0))
35.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify510.0ms

Counts
123 → 123
Iterations

Useful iterations: done (506.0ms)

IterNodesCost
01681847
14401764
213721652
done50001644

prune132.0ms

Filtered
77 candidates to 123 candidates (-59.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh224
Picked011
Done000
Total1235128

Merged error: 0b

Counts
128 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.9b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
1079×times-frac
929×*-un-lft-identity
570×add-sqr-sqrt
393×add-cube-cbrt
153×distribute-lft-out--
152×distribute-lft-out
83×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 associate-/l/
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×sub-neg diff-log associate--r-
Counts
3 → 545
Calls
3 calls:
109.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
11.0ms
(/ (- y z) (+ (- t z) 1.0))
29.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series86.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
12.0ms
(/ (- y z) (+ (- t z) 1.0))
39.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify475.0ms

Counts
554 → 554
Iterations

Useful iterations: done (450.0ms)

IterNodesCost
062715240
1194013609
done500012881

prune396.0ms

Filtered
209 candidates to 554 candidates (-165.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New5540554
Fresh033
Picked011
Done011
Total5545559

Merged error: 0b

Counts
559 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
10.9b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
21×associate-*r*
19×add-sqr-sqrt
16×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
6×distribute-lft-out
5×associate-*l*
4×pow1 distribute-lft-out-- add-log-exp
3×flip3-- flip--
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-+ diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-+ div-inv difference-of-squares
Counts
2 → 58
Calls
2 calls:
3.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
17.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
24.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify512.0ms

Counts
64 → 64
Iterations

Useful iterations: done (510.0ms)

IterNodesCost
01401005
1378941
21438865
done5001853

prune70.0ms

Filtered
45 candidates to 64 candidates (-42.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done022
Total64569

Merged error: 0b

Counts
69 → 5

regimes337.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11413
done1413

end0.0ms

sample862.0ms

Algorithm
intervals
Results
358.0ms8490×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

Profiling

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