Details

Time bar (total: 20.0s)

sample26.0ms

Algorithm
intervals
Results
7.0ms227×body80valid
2.0ms16×body1280valid
2.0ms16×body640valid
1.0ms13×body320valid
1.0ms11×body160valid

simplify8.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
12213
25113
310113
419113
534313
650613
765913
879413
9102613
10139013
11219413
12323613
13409913
done500013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.6b
(- (+ x y) (/ (* (- z t) y) (- a t)))
11.7b
(/ (* (- z t) y) (- a t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* distribute-lft-out--
4×flip3-- associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv diff-log div-exp prod-exp associate-/r/ frac-sub cbrt-unprod associate-/l/
1×sub-neg frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
10.0ms
(* (- z t) y)
25.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series202.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- z t) y)
111.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms
(/ (* (- z t) y) (- a t))

simplify638.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
01501010
1383951
21483873
done5001873

prune202.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(* (cbrt (- a t)) (cbrt (- a t)))
2.9b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.9b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
54×*-un-lft-identity
50×cbrt-prod
38×associate-*r*
36×times-frac
30×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
11×frac-times distribute-lft-out--
10×swap-sqr associate-/r/ unswap-sqr
9×prod-exp cbrt-unprod add-log-exp difference-of-squares
7×cbrt-undiv pow1/3 associate-*r/ div-exp associate-*l/
6×frac-sub
3×flip3-+ pow-prod-down flip-+
2×diff-log pow-sqr *-commutative pow-prod-up div-inv
1×pow2 sub-neg pow-plus associate--l+ sum-log
Counts
4 → 168
Calls
4 calls:
2.0ms
(cbrt (- a t))
19.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
65.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
18.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- a t))
123.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
98.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
111.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify1.3s

Counts
180 → 180
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03263837
18843584
235583004
done50012988

prune560.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- a t)) (cbrt (- a t)))
0.5b
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
1.4b
(* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))
8.4b
(- (+ x y) (* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
160×times-frac
152×add-sqr-sqrt
108×cbrt-prod
104×cbrt-div
88×associate-*l*
87×*-un-lft-identity
59×add-cube-cbrt
47×associate-*r*
44×flip3-- flip--
42×associate-/r/
38×add-exp-log
31×frac-times
24×unswap-sqr
22×add-cbrt-cube
17×associate-*r/ associate-*l/
14×cbrt-undiv div-exp
13×pow1 distribute-lft-out--
11×prod-exp cbrt-unprod difference-of-squares
10×swap-sqr
9×add-log-exp
7×pow1/3
6×frac-sub div-inv
3×flip3-+ pow-prod-down flip-+
2×diff-log pow-sqr *-commutative pow-prod-up
1×pow2 sub-neg pow-plus associate--l+ sum-log
Counts
4 → 260
Calls
4 calls:
22.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
7.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
124.0ms
(* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))
18.0ms
(- (+ x y) (* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))

series456.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
125.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
98.0ms
(* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))
114.0ms
(- (+ x y) (* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))

simplify1.7s

Counts
272 → 272
Iterations

Useful iterations: 2 (884.0ms)

IterNodesCost
05058639
114428269
248577855
done50007855

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.7b
(* (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) 1) (* (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))
6.5b
(- (+ x y) (* (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) 1) (* (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
270×add-exp-log
133×div-exp
105×prod-exp
90×add-cbrt-cube
71×cbrt-undiv
66×times-frac
59×cbrt-unprod
46×associate-*l*
40×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
25×cbrt-prod
21×1-exp
15×frac-times associate-*r/
14×frac-sub
10×cbrt-div
9×pow1 associate-*l/ add-log-exp
7×flip3-+ flip-+
6×flip3-- associate-/r/ flip--
5×distribute-lft-out-- difference-of-squares
4×div-inv
3×pow-prod-down
2×pow1/3 diff-log
1×sub-neg associate-*r* associate--l+ sum-log *-commutative
Counts
4 → 199
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
150.0ms
(* (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) 1) (* (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))
20.0ms
(- (+ x y) (* (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) 1) (* (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
100.0ms
(* (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) 1) (* (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))
114.0ms
(- (+ x y) (* (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) 1) (* (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))))

simplify1.6s

Counts
211 → 211
Iterations

Useful iterations: 2 (717.0ms)

IterNodesCost
043510681
113929731
246158211
done50008211

prune689.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.0b

regimes355.0ms

Accuracy

33% (5.2b remaining)

Error of 9.2b against oracle of 4.0b and baseline of 11.8b

bsearch99.0ms

Steps
ItersRangePoint
8
7.822312363142053e-194
1.998992656231707e-189
1.6655050159899754e-189
9
-1.7500594794839567e-124
-1.6036634392402047e-131
-1.323154873685477e-128

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02983
13583
done3583

end0.0ms

sample649.0ms

Algorithm
intervals
Results
242.0ms7343×body80valid
57.0ms461×body640valid
42.0ms260×body1280valid
39.0ms407×body320valid
15.0ms247×body160valid
2.0ms11×body2560valid