Details

Time bar (total: 5.5s)

sample26.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify108.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3549
4769
5999
61199
71299
81399
91419
101439
done1439

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.7b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (* x (- y z)) (- t z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (* x (- y z)) (- t z))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (* x (- y z)) (- t z))

simplify810.0ms

Counts
32 → 32
Iterations

Useful iterations: done (809.0ms)

IterNodesCost
075382
1211372
2731321
33187315
done5001313

prune65.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New26632
Fresh000
Picked101
Done000
Total27633

Merged error: 0.0b

Counts
33 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
3.2b
(* x (/ (- y z) (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- y z) (- t z))
19.0ms
(* x (/ (- y z) (- t z)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- y z) (- t z))
18.0ms
(* x (/ (- y z) (- t z)))

simplify849.0ms

Counts
108 → 108
Iterations

Useful iterations: done (846.0ms)

IterNodesCost
01381319
13521257
210561173
335221167
done50011165

prune97.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh235
Picked011
Done000
Total1086114

Merged error: 0b

Counts
114 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(* (cbrt (- y z)) (cbrt (- y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
8.0ms
(cbrt (- y z))
12.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (- y z))
33.0ms
(cbrt (- y z))
29.0ms
(cbrt (- y z))
32.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

simplify1.3s

Counts
113 → 113
Iterations

Useful iterations: 4 (634.0ms)

IterNodesCost
01451432
12911328
28211236
320741138
449161084
done50001084

prune135.0ms

Filtered
81 candidates to 113 candidates (-39.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh044
Picked011
Done011
Total1136119

Merged error: 0b

Counts
119 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
3.2b
(* x (* (- y z) (/ 1 (- t z))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
6.0ms
(/ 1 (- t z))
14.0ms
(* (- y z) (/ 1 (- t z)))
14.0ms
(* x (* (- y z) (/ 1 (- t z))))

series36.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- t z))
14.0ms
(* (- y z) (/ 1 (- t z)))
18.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify618.0ms

Counts
128 → 128
Iterations

Useful iterations: done (615.0ms)

IterNodesCost
01581456
13871254
215111043
done50021025

prune89.0ms

Filtered
72 candidates to 128 candidates (-77.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done022
Total1286134

Merged error: 0b

Counts
134 → 6

regimes249.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11631
done1631

end0.0ms

sample721.0ms

Algorithm
intervals
Results
286.0ms8731×body80valid

Profiling

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