Details

Time bar (total: 6.9s)

sample31.0ms

Algorithm
intervals
Results
11.0ms333×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2259
3459
4779
51149
61399
71639
82089
92999
104039
115359
127339
139089
1411409
1516229
1627089
done50009

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.7b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
6.7b
(/ (* y (- z x)) t)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
5.0ms
(+ x (/ (* y (- z x)) t))
8.0ms
(/ (* y (- z x)) t)

series26.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ x (/ (* y (- z x)) t))
13.0ms
(/ (* y (- z x)) t)

simplify845.0ms

Counts
41 → 41
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
084505
1238476
2736429
33300403
done5000402

prune61.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New36541
Fresh000
Picked011
Done000
Total36642

Merged error: 0.0b

Counts
42 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
21.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt t)
24.0ms
(cbrt t)
24.0ms
(cbrt t)
24.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify523.0ms

Counts
116 → 116
Iterations

Useful iterations: done (520.0ms)

IterNodesCost
01701622
15031561
221711333
done50011283

prune137.0ms

Filtered
88 candidates to 116 candidates (-31.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh044
Picked101
Done011
Total1157122

Merged error: 0.0b

Counts
122 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z x))
0.6b
(cbrt (- z x))
1.1b
(* (* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
3.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
130×cbrt-prod
86×times-frac
85×add-sqr-sqrt
84×associate-*r*
75×*-un-lft-identity
70×add-cbrt-cube
65×prod-exp cbrt-unprod
53×add-cube-cbrt
46×cbrt-undiv div-exp
11×pow1 distribute-lft-out-- difference-of-squares
8×associate-*l*
6×frac-times associate-*l/ unswap-sqr
4×cbrt-div associate-*r/ pow-prod-down add-log-exp
3×div-inv
2×flip3-- pow1/3 *-commutative flip--
Counts
4 → 215
Calls
4 calls:
4.0ms
(cbrt (- z x))
3.0ms
(cbrt (- z x))
43.0ms
(* (* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
20.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t)))))

series167.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (- z x))
29.0ms
(cbrt (- z x))
21.0ms
(* (* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
85.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t)))))

simplify371.0ms

Counts
227 → 227
Iterations

Useful iterations: done (354.0ms)

IterNodesCost
04317662
113457488
done50007438

prune254.0ms

Filtered
177 candidates to 227 candidates (-28.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2261227
Fresh055
Picked011
Done101
Total2277234

Merged error: 0b

Counts
234 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
1.0b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
1.0b
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
85×add-exp-log
77×cbrt-prod
63×*-un-lft-identity
51×add-cube-cbrt
50×associate-*l*
41×add-cbrt-cube
36×prod-exp cbrt-unprod
35×associate-*r*
26×cbrt-undiv div-exp
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 189
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
21.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
34.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt t)
27.0ms
(cbrt t)
15.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
65.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

simplify799.0ms

Counts
201 → 201
Iterations

Useful iterations: done (793.0ms)

IterNodesCost
02953824
19123695
234223044
done50002961

prune411.0ms

Filtered
149 candidates to 201 candidates (-34.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2010201
Fresh055
Picked011
Done011
Total2017208

Merged error: 0b

Counts
208 → 7

regimes307.0ms

Accuracy

-8.4% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.7b

bsearch42.0ms

Steps
ItersRangePoint
9
9.583898120733468e-147
1.004844395987407e-137
9.891230250604247e-138
5
-2.5004030332854447e+107
-7.337286808195076e+106
-1.3783698027227025e+107

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02565
13643
done3643

end0.0ms

sample906.0ms

Algorithm
intervals
Results
350.0ms10696×body80valid

Profiling

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