Details

Time bar (total: 23.0s)

sample163.0ms

Algorithm
intervals
Results
50.0ms538×body80valid
40.0ms553×body80nan

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24317
39217
420417
537117
675517
7230517
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube
7×add-exp-log add-sqr-sqrt associate-*r*
6×associate-*l/
5×add-cube-cbrt *-un-lft-identity
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 45
Calls
2 calls:
106.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
80.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series327.0ms

Counts
2 → 6
Calls
2 calls:
216.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
110.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify959.0ms

Counts
51 → 51
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
0129943
1346902
21358777
done5000746

prune267.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.1b
(sqrt (sqrt (* z 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
14×associate-*r*
12×sqrt-pow1
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×pow-prod-down associate-*l/
4×expm1-log1p-u pow1/2 associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
5.0ms
(sqrt (sqrt (* z 2.0)))
5.0ms
(sqrt (sqrt (* z 2.0)))
44.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
112.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series832.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(sqrt (sqrt (* z 2.0)))
240.0ms
(sqrt (sqrt (* z 2.0)))
200.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
111.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01471453
13901191
217551078
done50011057

prune402.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt (* z 2.0)))) (exp (/ (* t t) 2.0)))
0.1b
(sqrt (sqrt (* z 2.0)))
0.3b
(* (- (* x 0.5) y) (pow (* z 2.0) 1/4))
0.3b
(* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt (* z 2.0))))

rewrite420.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
31×prod-exp
20×add-cbrt-cube
15×pow1 associate-*r*
14×add-sqr-sqrt
12×associate-*l/
10×add-cube-cbrt *-un-lft-identity sqrt-prod cbrt-unprod
6×sqrt-pow1 pow-exp
5×associate-*l* pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp flip3-- *-commutative flip--
2×pow1/2 unswap-sqr sqr-pow
1×unpow-prod-down rem-sqrt-square
Counts
4 → 101
Calls
4 calls:
293.0ms
(* (* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt (* z 2.0)))) (exp (/ (* t t) 2.0)))
5.0ms
(sqrt (sqrt (* z 2.0)))
37.0ms
(* (- (* x 0.5) y) (pow (* z 2.0) 1/4))
80.0ms
(* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt (* z 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
460.0ms
(* (* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt (* z 2.0)))) (exp (/ (* t t) 2.0)))
237.0ms
(sqrt (sqrt (* z 2.0)))
159.0ms
(* (- (* x 0.5) y) (pow (* z 2.0) 1/4))
372.0ms
(* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt (* z 2.0))))

simplify2.5s

Counts
113 → 113
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02482393
16852241
234111917
done50001891

prune470.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.3b
(* (- (* x 0.5) y) (pow (* z 2.0) 1/4))
0.3b
(* (* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt z)))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
31×prod-exp
28×sqrt-prod
23×associate-*r*
20×add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×pow1
12×associate-*l/
10×cbrt-unprod
6×pow-exp
5×associate-*l*
4×expm1-log1p-u sqrt-pow1 pow-prod-down log1p-expm1-u add-log-exp
3×pow-to-exp flip3-- *-commutative flip--
2×rem-sqrt-square pow1/2 unswap-sqr sqr-pow
1×unpow-prod-down
Counts
4 → 111
Calls
4 calls:
3.0ms
(sqrt (sqrt z))
44.0ms
(* (- (* x 0.5) y) (pow (* z 2.0) 1/4))
263.0ms
(* (* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))
90.0ms
(* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt z)))

series918.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(sqrt (sqrt z))
168.0ms
(* (- (* x 0.5) y) (pow (* z 2.0) 1/4))
349.0ms
(* (* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))
209.0ms
(* (* (- (* x 0.5) y) (pow (* z 2.0) 1/4)) (sqrt (sqrt z)))

simplify2.3s

Counts
123 → 123
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02512253
16672079
232821821
done50001799

prune571.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes765.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
11917
done1917

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.3s18363×body80nan
1.6s18159×body80valid