Details

Time bar (total: 25.7s)

sample60.0ms

Algorithm
intervals
Results
35.0ms507×body80valid

simplify6.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (149.0ms)

IterNodesCost
011245
121245
251245
3169245
4361220
5748220
61776220
74088220
done5000220

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.7b
(* (* y 4.0) (- (* z z) t))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
13×prod-diff
10×distribute-rgt-in distribute-lft-in associate--r+
8×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
5×sub-neg
4×associate-*r* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
1×fma-neg diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 59
Calls
2 calls:
18.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
56.0ms
(* (* y 4.0) (- (* z z) t))

series222.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
100.0ms
(* (* y 4.0) (- (* z z) t))

simplify1.8s

Counts
65 → 65
Iterations

Useful iterations: done (1.8s)

IterNodesCost
013621142
140917965
2123016449
done500016354

prune375.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.7b
(sqrt (- (* z z) t))
4.7b
(sqrt (- (* z z) t))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-cbrt-cube sqrt-div add-exp-log
16×add-sqr-sqrt sqrt-prod
14×associate-*r*
10×*-un-lft-identity associate-*r/ add-cube-cbrt
9×flip3-- pow-prod-down prod-exp cbrt-unprod flip--
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 97
Calls
4 calls:
58.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
152.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
20.0ms
(sqrt (- (* z z) t))
16.0ms
(sqrt (- (* z z) t))

series332.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
85.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
73.0ms
(sqrt (- (* z z) t))
69.0ms
(sqrt (- (* z z) t))

simplify2.8s

Counts
109 → 109
Iterations

Useful iterations: done (2.7s)

IterNodesCost
014233357
139826699
2144426099
done500125799

prune677.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* y 4.0) (sqrt (sqrt (- (* z z) t)))) (sqrt (sqrt (- (* z z) t))))
4.7b
(sqrt (- (* z z) t))
4.7b
(sqrt (- (* z z) t))
4.7b
(sqrt (- (* z z) t))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-div
23×sqrt-prod
17×add-sqr-sqrt
16×pow1
13×add-cbrt-cube add-exp-log
10×*-un-lft-identity associate-*r* add-cube-cbrt
9×flip3-- flip--
8×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp difference-of-squares
3×rem-sqrt-square sqrt-pow1 pow1/2
2×associate-*l/
1×associate-*l* *-commutative
Counts
4 → 92
Calls
4 calls:
124.0ms
(* (* (* y 4.0) (sqrt (sqrt (- (* z z) t)))) (sqrt (sqrt (- (* z z) t))))
10.0ms
(sqrt (- (* z z) t))
10.0ms
(sqrt (- (* z z) t))
14.0ms
(sqrt (- (* z z) t))

series319.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* (* y 4.0) (sqrt (sqrt (- (* z z) t)))) (sqrt (sqrt (- (* z z) t))))
82.0ms
(sqrt (- (* z z) t))
83.0ms
(sqrt (- (* z z) t))
53.0ms
(sqrt (- (* z z) t))

simplify3.0s

Counts
104 → 104
Iterations

Useful iterations: done (2.9s)

IterNodesCost
014133605
137126988
2129526268
done500026118

prune822.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt (- (* z z) t))) (* y (* 4.0 (sqrt (- (* z z) t)))))
4.7b
(sqrt (- (* z z) t))
5.3b
(cbrt (- (* z z) t))
5.3b
(cbrt (- (* z z) t))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
13×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
8×cbrt-prod *-un-lft-identity add-cube-cbrt
6×pow-prod-down prod-exp associate-*r/ cbrt-unprod
4×expm1-log1p-u cbrt-div flip3-- sqrt-div sqrt-prod log1p-expm1-u flip-- add-log-exp
3×associate-*l* difference-of-squares
2×pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 75
Calls
4 calls:
155.0ms
(* (fabs (cbrt (- (* z z) t))) (* y (* 4.0 (sqrt (- (* z z) t)))))
21.0ms
(sqrt (- (* z z) t))
10.0ms
(cbrt (- (* z z) t))
12.0ms
(cbrt (- (* z z) t))

series443.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (fabs (cbrt (- (* z z) t))) (* y (* 4.0 (sqrt (- (* z z) t)))))
79.0ms
(sqrt (- (* z z) t))
111.0ms
(cbrt (- (* z z) t))
115.0ms
(cbrt (- (* z z) t))

simplify4.2s

Counts
87 → 87
Iterations

Useful iterations: 3 (2.5s)

IterNodesCost
015830501
138627041
2117626561
3463926093
done500026093

prune687.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.0b

regimes1.1s

Accuracy

85.1% (0.5b remaining)

Error of 3.1b against oracle of 2.6b and baseline of 6.1b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
020616
125616
done25616

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s15701×body80valid