Details

Time bar (total: 6.2s)

sample31.0ms

Algorithm
intervals
Results
9.0ms268×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3649
41279
52159
63399
75359
89689
916239
1023289
1134959
done50009

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.8b
(/ x (* (- y z) (- t z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
15.0ms
(* (- y z) (- t z))
10.0ms
(/ x (* (- y z) (- t z)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
30.0ms
(/ x (* (- y z) (- t z)))

simplify433.0ms

Counts
69 → 69
Iterations

Useful iterations: done (431.0ms)

IterNodesCost
0124860
1302847
21306763
done5001756

prune95.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
6.0ms
(/ 1 (- y z))
6.0ms
(/ x (- t z))
21.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series68.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- y z))
8.0ms
(/ x (- t z))
55.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify662.0ms

Counts
159 → 159
Iterations

Useful iterations: done (658.0ms)

IterNodesCost
01981884
15281704
219241492
done50001470

prune143.0ms

Filtered
97 candidates to 159 candidates (-63.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1563159
Fresh235
Picked011
Done000
Total1587165

Merged error: 0b

Counts
165 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.2b
(/ (/ x (- t z)) (- y z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
6.0ms
(/ x (- t z))
13.0ms
(/ (/ x (- t z)) (- y z))

series38.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ x (- t z))
30.0ms
(/ (/ x (- t z)) (- y z))

simplify559.0ms

Counts
191 → 191
Iterations

Useful iterations: done (550.0ms)

IterNodesCost
02643352
16433176
220553108
done50003099

prune156.0ms

Filtered
131 candidates to 191 candidates (-45.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1892191
Fresh235
Picked011
Done101
Total1926198

Merged error: 0b

Counts
198 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* x (/ 1 (- t z)))
1.2b
(/ (* x (/ 1 (- t z))) (- y z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
37×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r*
9×distribute-lft-out-- difference-of-squares
8×prod-exp
6×pow1 cbrt-undiv associate-/r/
4×cbrt-unprod associate-/l*
3×rec-exp flip3-- 1-exp associate-*l* flip-- div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls
3 calls:
6.0ms
(/ 1 (- t z))
11.0ms
(* x (/ 1 (- t z)))
13.0ms
(/ (* x (/ 1 (- t z))) (- y z))

series46.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- t z))
8.0ms
(* x (/ 1 (- t z)))
33.0ms
(/ (* x (/ 1 (- t z))) (- y z))

simplify578.0ms

Counts
127 → 127
Iterations

Useful iterations: done (575.0ms)

IterNodesCost
01611360
14031165
21376970
done5001959

prune87.0ms

Filtered
72 candidates to 127 candidates (-76.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh044
Picked011
Done011
Total1276133

Merged error: 0b

Counts
133 → 6

regimes306.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample724.0ms

Algorithm
intervals
Results
281.0ms8398×body80valid

Profiling

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