Details

Time bar (total: 56.1s)

sample107.0ms

Algorithm
intervals
Results
32.0ms290×body80valid
26.0ms310×body80nan

simplify7.4s

Counts
1 → 1
Iterations
IterNodes
done5000
104510
92947
81717
71207
6890
5546
4246
3112
257
126
011

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (- z (log z)))
0.0b
(- z (log z))
0.0b
(fma x 0.5 (* (- 1.0 (- z (log z))) y))
0.2b
(* (- 1.0 (- z (log z))) y)

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
46×add-sqr-sqrt
42×prod-diff
32×add-cube-cbrt
18×pow1 distribute-lft-out--
17×associate--r+
12×log-pow
9×add-log-exp
7×associate-*l*
6×add-cbrt-cube fma-neg add-exp-log difference-of-squares
4×expm1-log1p-u diff-log insert-posit16 log1p-expm1-u
3×log-prod sub-neg flip3-- associate-*r* flip--
2×associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef associate--r- unswap-sqr
Counts
4 → 130
Calls
4 calls:
56.0ms
(- 1.0 (- z (log z)))
38.0ms
(- z (log z))
3.0ms
(fma x 0.5 (* (- 1.0 (- z (log z))) y))
177.0ms
(* (- 1.0 (- z (log z))) y)

series843.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(- 1.0 (- z (log z)))
335.0ms
(- z (log z))
129.0ms
(fma x 0.5 (* (- 1.0 (- z (log z))) y))
143.0ms
(* (- 1.0 (- z (log z))) y)

simplify6.8s

Counts
142 → 142
Iterations
IterNodes
done5000
33708
21229
1486
0206

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (log z) 1.0)
0.0b
(- (+ (log z) 1.0) z)
0.1b
(fma (- (+ (log z) 1.0) z) y (* 0.5 x))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
16×add-sqr-sqrt
15×prod-diff
14×add-cube-cbrt
12×distribute-lft-out
10×pow1
8×add-log-exp
7×log-pow
5×fma-neg
4×fma-def
3×expm1-log1p-u associate-+l+ log-prod add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
2×sum-log diff-log
1×+-commutative sub-neg flip3-+ flip3-- associate--l+ flip-+ fma-udef flip-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
22.0ms
(+ (log z) 1.0)
148.0ms
(- (+ (log z) 1.0) z)
3.0ms
(fma (- (+ (log z) 1.0) z) y (* 0.5 x))

series589.0ms

Counts
3 → 9
Calls
3 calls:
200.0ms
(+ (log z) 1.0)
269.0ms
(- (+ (log z) 1.0) z)
119.0ms
(fma (- (+ (log z) 1.0) z) y (* 0.5 x))

simplify5.7s

Counts
84 → 84
Iterations
IterNodes
done5004
32901
2796
1306
0126

prune930.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize210.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- z (log z)))
0.1b
(sqrt (- z (log z)))
0.2b
(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
0.3b
(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

rewrite898.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
28×sqrt-prod
25×add-sqr-sqrt
18×associate-*l*
17×pow1
12×distribute-lft-out--
11×add-cbrt-cube add-exp-log
10×associate-*l/
9×add-cube-cbrt
6×flip3-- flip-- difference-of-squares
4×expm1-log1p-u frac-times sqrt-div associate-*r* pow-prod-down prod-exp log-pow cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
3×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative
1×unswap-sqr
Counts
4 → 106
Calls
4 calls:
36.0ms
(sqrt (- z (log z)))
34.0ms
(sqrt (- z (log z)))
254.0ms
(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
562.0ms
(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

series1.6s

Counts
4 → 12
Calls
4 calls:
64.0ms
(sqrt (- z (log z)))
89.0ms
(sqrt (- z (log z)))
276.0ms
(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
1.1s
(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

simplify9.4s

Counts
118 → 118
Iterations
IterNodes
done5004
23574
1991
0329

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize245.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (sqrt 1.0) (sqrt (- z (log z)))))
0.2b
(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
0.3b
(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))
0.4b
(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y)))

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
53×sqrt-prod
47×*-un-lft-identity
44×sqrt-div
36×associate-*l/
32×frac-times
31×associate-*l*
30×add-sqr-sqrt
25×pow1
22×flip3-+ flip-+
20×add-cbrt-cube add-exp-log
16×associate-*r/
13×flip3-- flip--
12×distribute-lft-out distribute-lft-out--
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×expm1-log1p-u log-pow hypot-def insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×*-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 unswap-sqr
Counts
4 → 150
Calls
4 calls:
145.0ms
(sqrt (+ (sqrt 1.0) (sqrt (- z (log z)))))
250.0ms
(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
518.0ms
(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))
1.3s
(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y)))

series3.7s

Counts
4 → 12
Calls
4 calls:
280.0ms
(sqrt (+ (sqrt 1.0) (sqrt (- z (log z)))))
233.0ms
(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
2.0s
(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))
1.1s
(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y)))

simplify5.8s

Counts
162 → 162
Iterations
IterNodes
done5002
11736
0548

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes643.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
880.0ms9184×body80valid
737.0ms9157×body80nan