Details

Time bar (total: 8.1s)

sample41.0ms

Algorithm
intervals
Results
12.0ms420×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2289
3719
41799
53919
67159
712779
825029
938309
done50009

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity
6×flip3-- flip--
5×associate-*r* associate-*l*
4×pow1 add-exp-log distribute-rgt-in frac-times add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* (- y z) (- t x))
4.0ms
(+ x (* (- y z) (- t x)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* (- y z) (- t x))
17.0ms
(+ x (* (- y z) (- t x)))

simplify1.3s

Counts
55 → 55
Iterations

Useful iterations: 3 (383.0ms)

IterNodesCost
0110687
1291652
21112610
34952609
done5000609

prune86.0ms

Filtered
40 candidates to 55 candidates (-37.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New50555
Fresh000
Picked101
Done000
Total51556

Merged error: 0b

Counts
56 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) t))
0.0b
(* (- y z) t)
0.0b
(+ (+ x (* (- y z) t)) (* (- y z) (neg x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
9×add-sqr-sqrt
7×*-un-lft-identity
6×associate-*l/
5×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
4×flip3-+ frac-add sum-log flip-+
3×flip3-- associate-*r* flip--
2×+-commutative distribute-rgt-neg-out
1×associate-+l+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 52
Calls
3 calls:
3.0ms
(+ x (* (- y z) t))
7.0ms
(* (- y z) t)
7.0ms
(+ (+ x (* (- y z) t)) (* (- y z) (neg x)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ x (* (- y z) t))
8.0ms
(* (- y z) t)
17.0ms
(+ (+ x (* (- y z) t)) (* (- y z) (neg x)))

simplify495.0ms

Counts
61 → 61
Iterations

Useful iterations: done (494.0ms)

IterNodesCost
0122964
1382836
21556768
done5000762

prune73.0ms

Filtered
46 candidates to 61 candidates (-32.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh044
Picked011
Done000
Total61566

Merged error: 0b

Counts
66 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
0.7b
(cbrt (* (- y z) (- t x)))
0.7b
(cbrt (* (- y z) (- t x)))
0.7b
(cbrt (* (- y z) (- t x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
12.0ms
(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
8.0ms
(cbrt (* (- y z) (- t x)))
8.0ms
(cbrt (* (- y z) (- t x)))
8.0ms
(cbrt (* (- y z) (- t x)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
85.0ms
(cbrt (* (- y z) (- t x)))
85.0ms
(cbrt (* (- y z) (- t x)))
87.0ms
(cbrt (* (- y z) (- t x)))

simplify1.1s

Counts
174 → 174
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02975600
15165258
214705101
347464997
done50004973

prune231.0ms

Filtered
124 candidates to 174 candidates (-40.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh033
Picked011
Done011
Total1745179

Merged error: 0b

Counts
179 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
1.5b
(- (* y y) (* z z))
6.0b
(* (- (* y y) (* z z)) (- t x))
19.4b
(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
13×flip3-- flip--
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
8×frac-times add-cube-cbrt associate-/l/ add-log-exp
6×pow1
5×associate-*r*
4×times-frac associate-*r/ associate-*l* associate-*l/ associate-/r*
3×sub-neg distribute-lft-out difference-of-squares
2×cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+
1×+-commutative frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
7.0ms
(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
4.0ms
(- (* y y) (* z z))
10.0ms
(* (- (* y y) (* z z)) (- t x))
16.0ms
(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series106.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
7.0ms
(- (* y y) (* z z))
15.0ms
(* (- (* y y) (* z z)) (- t x))
22.0ms
(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify623.0ms

Counts
103 → 103
Iterations

Useful iterations: done (620.0ms)

IterNodesCost
01691912
15121790
224351580
done50011576

prune106.0ms

Filtered
78 candidates to 103 candidates (-32.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh112
Picked011
Done022
Total1035108

Merged error: 0b

Counts
108 → 5

regimes303.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11614
21914
32014
done2014

end0.0ms

sample1.0s

Algorithm
intervals
Results
382.0ms12428×body80valid

Profiling

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