Details

Time bar (total: 12.7s)

sample56.0ms

Algorithm
intervals
Results
19.0ms284×body80valid

simplify306.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.7b
(/ (* x 2.0) (* z (- y t)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
50.0ms
(* z (- y t))
36.0ms
(/ (* x 2.0) (* z (- y t)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* z (- y t))
80.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01451080
1324905
21205699
done5000675

prune167.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

4.8b
(/ (/ (* x 2.0) z) (- y t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
37×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×div-inv associate-/l*
5×cbrt-undiv div-exp associate-/r*
2×associate-/r/
1×pow1 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 68
Calls
1 calls:
22.0ms
(/ (/ (* x 2.0) z) (- y t))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
01471093
13711045
21163971
done5000971

prune255.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
3.1b
(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
187×times-frac
145×add-sqr-sqrt
125×*-un-lft-identity
119×add-exp-log
110×associate-*r*
91×add-cube-cbrt
83×cbrt-prod
51×add-cbrt-cube
50×div-exp
45×prod-exp
27×cbrt-undiv cbrt-unprod
20×cbrt-div
16×distribute-lft-out-- difference-of-squares
13×associate-*l*
10×flip3-- associate-/r/ flip-- div-inv
7×unswap-sqr
6×pow1
5×frac-times rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 235
Calls
4 calls:
8.0ms
(cbrt (- y t))
8.0ms
(cbrt (- y t))
8.0ms
(cbrt (- y t))
260.0ms
(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (- y t))
204.0ms
(cbrt (- y t))
241.0ms
(cbrt (- y t))
127.0ms
(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

simplify2.4s

Counts
247 → 247
Iterations

Useful iterations: done (2.4s)

IterNodesCost
04015826
111945241
242484333
done50004037

prune965.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
6.7b
(* (* x 2.0) (/ (/ 1 z) (- y t)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
161×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
71×associate-*r*
46×add-exp-log
28×add-cbrt-cube
27×distribute-lft-out-- difference-of-squares
18×div-exp
15×prod-exp
13×div-inv associate-/l*
9×cbrt-undiv cbrt-unprod
7×pow1
5×associate-/r*
4×associate-/r/
3×rec-exp 1-exp pow-prod-down
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 205
Calls
2 calls:
26.0ms
(/ (/ 1 z) (- y t))
80.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (/ 1 z) (- y t))
77.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify2.0s

Counts
211 → 211
Iterations

Useful iterations: 2 (590.0ms)

IterNodesCost
02793193
17912691
221942408
done50012408

prune502.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes309.0ms

Accuracy

-2.8% (4.9b remaining)

Error of 5.0b against oracle of 0.1b and baseline of 4.8b

bsearch134.0ms

Steps
ItersRangePoint
7
3.5154020895545546e+75
6.711245250395506e+77
1.1757638298282144e+77
9
3.599554087478122e-299
2.3226509623861298e-291
1.2521624273602172e-291

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02261
12940
done2940

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s8717×body80valid