Details

Time bar (total: 14.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms336×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3489
4729
5949
61139
71359
81819
92479
103309
113609
124139
134539
144699
155059
165959
178279
1811139
1916609
2021489
2122079
done22079

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
8.4b
(* (/ x y) (- z t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
7.0ms
(+ (* (/ x y) (- z t)) t)
21.0ms
(* (/ x y) (- z t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* (/ x y) (- z t)) t)
58.0ms
(* (/ x y) (- z t))

simplify2.0s

Counts
63 → 63
Iterations

Useful iterations: 3 (952.0ms)

IterNodesCost
0120727
1313701
21007625
33819619
done5000619

prune157.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.8b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.8b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
106.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
35.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (- z t))
174.0ms
(cbrt (- z t))
56.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
112.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify1.1s

Counts
176 → 176
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
02964235
17654081
220683651
done50003651

prune551.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
9.5b
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
9.5b
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
9.5b
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
147×cbrt-div
64×frac-times
48×flip3-- associate-*r/ flip--
20×associate-*l/
16×add-exp-log
14×add-sqr-sqrt
13×associate-*l*
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
10×times-frac
9×pow1
6×prod-exp cbrt-unprod
4×add-log-exp
3×cbrt-prod pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* *-commutative div-inv
Counts
4 → 129
Calls
4 calls:
33.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
25.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
28.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
25.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))

series616.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
167.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
171.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
166.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))

simplify1.9s

Counts
141 → 141
Iterations

Useful iterations: 3 (959.0ms)

IterNodesCost
02173412
15143291
212693086
343593039
done50003039

prune642.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
0.0b
(* x (- z t))
6.1b
(/ (* x (- z t)) y)

rewrite31.0ms

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:
9.0ms
(+ (/ (* x (- z t)) y) t)
14.0ms
(* x (- z t))
6.0ms
(/ (* x (- z t)) y)

series135.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (/ (* x (- z t)) y) t)
44.0ms
(* x (- z t))
54.0ms
(/ (* x (- z t)) y)

simplify1.8s

Counts
70 → 70
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0113722
1288691
2788619
33221589
done5000588

prune164.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

26% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch58.0ms

Steps
ItersRangePoint
5
2.8408196279849414e-100
8.99076255741001e-100
3.1486740368353013e-100
7
-3.339096941797073e+59
-5.11190014759787e+57
-2.4631969570436788e+58

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01735
12427
done2427

end0.0ms

sample560.0ms

Algorithm
intervals
Results
292.0ms10749×body80valid