Details

Time bar (total: 23.6s)

sample36.0ms

Algorithm
intervals
Results
15.0ms320×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4849
51129
61309
71479
81889
92459
102749
113079
123439
133689
143849
154719
165629
178119
1811389
1915739
2016559
2116569
done16569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.0b
(/ (* y (- z x)) t)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
51.0ms
(* y (- z x))
19.0ms
(+ x (/ (* y (- z x)) t))
35.0ms
(/ (* y (- z x)) t)

series191.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* y (- z x))
61.0ms
(+ x (/ (* y (- z x)) t))
76.0ms
(/ (* y (- z x)) t)

simplify3.3s

Counts
70 → 70
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
0113722
1290679
2893589
34319589
done5000589

prune269.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize461.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite114.0ms

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)
2.0ms
(cbrt t)
106.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt t)
303.0ms
(cbrt t)
328.0ms
(cbrt t)
136.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.6s

Counts
116 → 116
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune471.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
1.3b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
1.8b
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

rewrite236.0ms

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)
124.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
100.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
323.0ms
(cbrt t)
339.0ms
(cbrt t)
80.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
330.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

simplify2.2s

Counts
201 → 201
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02873776
18333615
233682868
done50022664

prune790.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))
1.3b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt t) (cbrt t)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))))
1.5b
(* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))

rewrite439.0ms

Algorithm
rewrite-expression-head
Rules
254×cbrt-prod
208×add-exp-log
200×add-sqr-sqrt
164×times-frac
102×prod-exp cbrt-unprod
95×associate-*l*
93×*-un-lft-identity
92×add-cbrt-cube
81×add-cube-cbrt
65×cbrt-undiv div-exp
35×associate-*r*
30×unswap-sqr
18×frac-times associate-*r/
15×pow1
8×associate-*l/
7×pow-prod-down
6×distribute-lft-out-- difference-of-squares
4×add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 295
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
6.0ms
(cbrt (* (cbrt y) (cbrt y)))
288.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt t) (cbrt t)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))))
120.0ms
(* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
402.0ms
(cbrt (cbrt y))
482.0ms
(cbrt (* (cbrt y) (cbrt y)))
66.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt t) (cbrt t)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))))
281.0ms
(* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))

simplify834.0ms

Counts
307 → 307
Iterations

Useful iterations: done (818.0ms)

IterNodesCost
04499076
113138837
done50007207

prune1.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

25% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.4b

bsearch130.0ms

Steps
ItersRangePoint
9
5.606144197933177e-269
6.50855293872849e-263
4.4825416426582985e-266
8
-4.2158262161410515e-54
-6.879487246984731e-58
-4.0241106906361557e-54

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03053
13953
done3953

end0.0ms

sample1.2s

Algorithm
intervals
Results
524.0ms10650×body80valid