Details

Time bar (total: 23.3s)

sample144.0ms

Algorithm
intervals
Results
49.0ms538×body80valid
33.0ms553×body80nan

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12517
24117
38817
418217
532817
669117
7212117
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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)))

rewrite153.0ms

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×flip3-- *-commutative flip-- add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 41
Calls
2 calls:
106.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
46.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series297.0ms

Counts
2 → 6
Calls
2 calls:
183.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
113.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify657.0ms

Counts
47 → 47
Iterations

Useful iterations: done (655.0ms)

IterNodesCost
0125885
1337844
21446725
done5001717

prune181.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
12×sqrt-pow1
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r*
8×associate-*l*
6×pow-prod-down
4×pow1/2 associate-*r/ prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg rem-sqrt-square flip3-- distribute-lft-in associate-*l/ *-commutative flip-- unswap-sqr
Counts
4 → 87
Calls
4 calls:
5.0ms
(sqrt (sqrt (* z 2.0)))
5.0ms
(sqrt (sqrt (* z 2.0)))
49.0ms
(* (sqrt (sqrt (* z 2.0))) (- (* x 0.5) y))
159.0ms
(* (* (sqrt (sqrt (* z 2.0))) (- (* x 0.5) y)) (sqrt (sqrt (* z 2.0))))

series920.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(sqrt (sqrt (* z 2.0)))
201.0ms
(sqrt (sqrt (* z 2.0)))
293.0ms
(* (sqrt (sqrt (* z 2.0))) (- (* x 0.5) y))
228.0ms
(* (* (sqrt (sqrt (* z 2.0))) (- (* x 0.5) y)) (sqrt (sqrt (* z 2.0))))

simplify1.2s

Counts
99 → 99
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01601464
14381356
220621214
done50001096

prune439.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
31×prod-exp
20×add-cbrt-cube
15×pow1
14×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity sqrt-prod cbrt-unprod
7×associate-*l*
6×sqrt-pow1 associate-*r/ associate-*l/ pow-exp
5×pow-prod-down
4×add-log-exp
3×pow-to-exp flip3-- *-commutative flip--
2×distribute-rgt-in sub-neg distribute-lft-in pow1/2 unswap-sqr sqr-pow
1×unpow-prod-down rem-sqrt-square
Counts
4 → 97
Calls
4 calls:
298.0ms
(* (* (* (pow (* z 2.0) 1/4) (- (* x 0.5) y)) (sqrt (sqrt (* z 2.0)))) (exp (/ (* t t) 2.0)))
6.0ms
(sqrt (sqrt (* z 2.0)))
47.0ms
(* (pow (* z 2.0) 1/4) (- (* x 0.5) y))
86.0ms
(* (* (pow (* z 2.0) 1/4) (- (* x 0.5) y)) (sqrt (sqrt (* z 2.0))))

series2.1s

Counts
4 → 12
Calls
4 calls:
653.0ms
(* (* (* (pow (* z 2.0) 1/4) (- (* x 0.5) y)) (sqrt (sqrt (* z 2.0)))) (exp (/ (* t t) 2.0)))
254.0ms
(sqrt (sqrt (* z 2.0)))
274.0ms
(* (pow (* z 2.0) 1/4) (- (* x 0.5) y))
935.0ms
(* (* (pow (* z 2.0) 1/4) (- (* x 0.5) y)) (sqrt (sqrt (* z 2.0))))

simplify2.3s

Counts
109 → 109
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02632383
17432248
240101907
done50011891

prune536.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (pow 2.0 1/4) (- (* x 0.5) y))
0.3b
(* (* (pow z 1/4) (* (pow 2.0 1/4) (- (* x 0.5) y))) (sqrt (sqrt (* z 2.0))))
0.4b
(* (pow z 1/4) (* (pow 2.0 1/4) (- (* x 0.5) y)))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
58×prod-exp
20×add-cbrt-cube
18×add-sqr-sqrt
15×pow-to-exp associate-*l* pow-exp
12×add-cube-cbrt *-un-lft-identity
11×associate-*r*
10×pow1 distribute-rgt-in distribute-lft-in associate-*r/ sqrt-prod cbrt-unprod
7×unpow-prod-down
6×sub-neg sqrt-pow1
4×add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr sqr-pow
2×pow1/2 pow-prod-down associate-*l/
1×rem-sqrt-square
Counts
4 → 123
Calls
4 calls:
7.0ms
(sqrt (sqrt (* z 2.0)))
58.0ms
(* (pow 2.0 1/4) (- (* x 0.5) y))
202.0ms
(* (* (pow z 1/4) (* (pow 2.0 1/4) (- (* x 0.5) y))) (sqrt (sqrt (* z 2.0))))
77.0ms
(* (pow z 1/4) (* (pow 2.0 1/4) (- (* x 0.5) y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
250.0ms
(sqrt (sqrt (* z 2.0)))
247.0ms
(* (pow 2.0 1/4) (- (* x 0.5) y))
748.0ms
(* (* (pow z 1/4) (* (pow 2.0 1/4) (- (* x 0.5) y))) (sqrt (sqrt (* z 2.0))))
286.0ms
(* (pow z 1/4) (* (pow 2.0 1/4) (- (* x 0.5) y)))

simplify2.4s

Counts
135 → 135
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02502447
16932270
235312015
done50001998

prune604.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes601.0ms

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

sample6.4s

Algorithm
intervals
Results
2.6s18363×body80nan
1.8s18159×body80valid