Details

Time bar (total: 20.7s)

sample51.0ms

Algorithm
intervals
Results
14.0ms249×body80valid
5.0ms4×body320valid
3.0ms15×body640valid
2.0ms9×body1280valid
1.0ms6×body160valid
0.0ms1×body2560valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12213
25213
310813
422213
564113
6301613
done500113

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
1.8b
(- (+ x y) (/ (* (- z t) y) (- a t)))
13.4b
(/ (* (- z t) y) (- a t))

rewrite167.0ms

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:
42.0ms
(* (- z t) y)
95.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
26.0ms
(/ (* (- z t) y) (- a t))

series390.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* (- z t) y)
225.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
115.0ms
(/ (* (- z t) y) (- a t))

simplify1.6s

Counts
79 → 79
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01501010
1392951
21972879
done5004873

prune328.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
2.9b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
6.2b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
36×times-frac
35×*-un-lft-identity
30×associate-*r*
27×cbrt-prod
25×add-exp-log
23×add-cube-cbrt
18×cbrt-div add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
9×add-log-exp
8×prod-exp cbrt-unprod
7×cbrt-undiv frac-times div-exp
6×pow1 frac-sub distribute-lft-out-- difference-of-squares unswap-sqr
5×associate-*r/ associate-*l/
3×flip3-+ flip-+
2×pow1/3 diff-log div-inv
1×sub-neg pow-prod-down associate--l+ sum-log *-commutative
Counts
4 → 127
Calls
4 calls:
4.0ms
(cbrt (- a t))
4.0ms
(cbrt (- a t))
174.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
49.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series713.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (- a t))
199.0ms
(cbrt (- a t))
149.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
166.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify2.3s

Counts
139 → 139
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02743197
18003031
237452480
done50022295

prune697.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.5b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
2.8b
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt frac-times *-un-lft-identity associate-*r/
14×associate-*l* frac-sub
9×pow1 add-cube-cbrt associate-*l/ add-log-exp
8×times-frac
7×flip3-+ flip-+
6×cbrt-div
4×flip3-- flip--
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3 diff-log associate-/r/
1×sub-neg associate-*r* associate--l+ sum-log *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
8.0ms
(cbrt (- z t))
7.0ms
(cbrt (- z t))
263.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
74.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

series891.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (- z t))
259.0ms
(cbrt (- z t))
186.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
191.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify2.3s

Counts
132 → 132
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02774570
17944313
233553129
done50012770

prune500.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- a t)))
0.9b
(* (/ (cbrt (- z t)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))
2.1b
(* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
5.5b
(- (+ x y) (* (/ (cbrt (- z t)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))))

rewrite836.0ms

Algorithm
rewrite-expression-head
Rules
200×cbrt-prod
162×add-exp-log
138×associate-*l*
120×times-frac
118×add-sqr-sqrt *-un-lft-identity
76×prod-exp cbrt-unprod
74×add-cbrt-cube
70×add-cube-cbrt
60×frac-times
58×associate-*r/
50×cbrt-undiv div-exp
30×frac-sub
28×cbrt-div
26×associate-*l/
24×distribute-lft-out-- difference-of-squares
18×pow1
15×flip3-+ flip-+
10×associate-/r/
9×flip3-- pow-prod-down flip-- add-log-exp
2×diff-log associate-*r* *-commutative div-inv
1×sub-neg pow1/3 associate--l+ sum-log
Counts
4 → 309
Calls
4 calls:
9.0ms
(cbrt (cbrt (- a t)))
540.0ms
(* (/ (cbrt (- z t)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))
180.0ms
(* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
73.0ms
(- (+ x y) (* (/ (cbrt (- z t)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))))

series2.4s

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt (cbrt (- a t)))
115.0ms
(* (/ (cbrt (- z t)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))
1.9s
(* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
139.0ms
(- (+ x y) (* (/ (cbrt (- z t)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (* (/ (cbrt (- z t)) (cbrt (cbrt (- a t)))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))))

simplify763.0ms

Counts
321 → 321
Iterations

Useful iterations: done (751.0ms)

IterNodesCost
054013949
1159013581
done500112119

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

regimes362.0ms

Accuracy

22.1% (5.6b remaining)

Error of 9.8b against oracle of 4.2b and baseline of 11.3b

bsearch112.0ms

Steps
ItersRangePoint
8
1.2261649568763873e-107
5.141413551017515e-103
3.079941655681878e-104
7
-6.159056418506535e-125
-6.637490052300637e-127
-6.955680798979962e-126

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03080
13680
done3680

end0.0ms

sample1.5s

Algorithm
intervals
Results
601.0ms7355×body80valid
127.0ms456×body640valid
101.0ms417×body320valid
66.0ms264×body1280valid
26.0ms255×body160valid
4.0ms14×body2560valid