Details

Time bar (total: 13.8s)

sample30.0ms

Algorithm
intervals
Results
19.0ms284×body80valid

simplify189.0ms

Counts
1 → 1
Iterations
IterNodes
done241
8241
7230
6201
5169
4123
380
244
120
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 2.0 (/ z x))
4.8b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
691×times-frac
389×add-sqr-sqrt *-un-lft-identity
299×add-cube-cbrt
47×associate-/l*
45×distribute-lft-out-- difference-of-squares
30×div-inv
18×associate-/r*
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp associate-/r/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 364
Calls
2 calls:
7.0ms
(/ 2.0 (/ z x))
21.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series99.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 2.0 (/ z x))
75.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify868.0ms

Counts
370 → 370
Iterations
IterNodes
done2000
11502
0570

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ x z))
4.8b
(/ (* 2.0 (/ x z)) (- y t))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
15×times-frac
13×associate-*r*
12×add-cube-cbrt
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l*
2×expm1-log1p-u associate-*r/ associate-/r/ insert-posit16 log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×clear-num frac-2neg flip3-- pow-prod-down *-commutative flip-- associate-/l* associate-/l/
Counts
2 → 68
Calls
2 calls:
14.0ms
(* 2.0 (/ x z))
23.0ms
(/ (* 2.0 (/ x z)) (- y t))

series102.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* 2.0 (/ x z))
79.0ms
(/ (* 2.0 (/ x z)) (- y t))

simplify928.0ms

Counts
74 → 74
Iterations
IterNodes
done2001
21071
1326
0129

prune365.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y t) x)
5.4b
(/ (/ 2.0 z) (/ (- y t) x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
652×times-frac
370×add-sqr-sqrt *-un-lft-identity
278×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
36×div-inv
22×associate-/r*
18×associate-/l*
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
3×associate-/l/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 343
Calls
2 calls:
16.0ms
(/ (- y t) x)
23.0ms
(/ (/ 2.0 z) (/ (- y t) x))

series182.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- y t) x)
138.0ms
(/ (/ 2.0 z) (/ (- y t) x))

simplify674.0ms

Counts
349 → 349
Iterations
IterNodes
done2004
11749
0547

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (* (cbrt (/ 2.0 (/ z x))) (cbrt (/ 2.0 (/ z x)))) (/ (- y t) (cbrt (/ 2.0 (/ z x)))))
13.1b
(cbrt (/ 2.0 (/ z x)))
13.1b
(cbrt (/ 2.0 (/ z x)))
13.1b
(cbrt (/ 2.0 (/ z x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
1568×times-frac
753×add-sqr-sqrt *-un-lft-identity
572×cbrt-prod
565×add-cube-cbrt
240×associate-/r*
94×distribute-lft-out-- difference-of-squares
55×div-inv
16×add-exp-log associate-/r/
10×add-cbrt-cube
9×cbrt-div
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-/l/
2×prod-exp cbrt-unprod
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/ associate-/l*
Counts
4 → 674
Calls
4 calls:
24.0ms
(/ (* (cbrt (/ 2.0 (/ z x))) (cbrt (/ 2.0 (/ z x)))) (/ (- y t) (cbrt (/ 2.0 (/ z x)))))
2.0ms
(cbrt (/ 2.0 (/ z x)))
3.0ms
(cbrt (/ 2.0 (/ z x)))
3.0ms
(cbrt (/ 2.0 (/ z x)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(/ (* (cbrt (/ 2.0 (/ z x))) (cbrt (/ 2.0 (/ z x)))) (/ (- y t) (cbrt (/ 2.0 (/ z x)))))
114.0ms
(cbrt (/ 2.0 (/ z x)))
123.0ms
(cbrt (/ 2.0 (/ z x)))
132.0ms
(cbrt (/ 2.0 (/ z x)))

simplify1.4s

Counts
686 → 686
Iterations
IterNodes
done2000
01170

prune3.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes224.0ms

Accuracy

40.9% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 5.5b

bsearch105.0ms

Steps
ItersRangePoint
10
6.805979708043197e-237
6.150502060195433e-226
2.042269423331799e-231
9
-1.533400212308845e-56
-1.377551917386729e-61
-8.31181793433353e-58

simplify4.0ms

Iterations
IterNodes
done23
123
020

end0.0ms

sample1.2s

Algorithm
intervals
Results
929.0ms8729×body80valid