Details

Time bar (total: 16.1s)

sample204.0ms

Algorithm
intervals
Results
150.0ms218×body10240exit
17.0ms192×body80valid
8.0ms29×body320valid
6.0ms14×body640valid
4.0ms22×body160valid

simplify850.0ms

Counts
1 → 1
Iterations
IterNodes
done2022
5815
4205
3108
252
121
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.7b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.4b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
73×add-sqr-sqrt
66×add-cube-cbrt
63×prod-diff
61×times-frac
14×distribute-rgt-out distribute-rgt1-in
8×add-cbrt-cube associate-/r/ add-log-exp
7×add-exp-log
6×pow1
5×associate-/r* flip3-+ flip-+
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv
3×fma-def fma-neg associate-*r* associate-*l* associate-/l*
2×flip3-- div-sub flip-- difference-of-squares associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 168
Calls
4 calls:
9.0ms
(* wj (exp wj))
12.0ms
(+ (exp wj) (* wj (exp wj)))
33.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
67.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* wj (exp wj))
64.0ms
(+ (exp wj) (* wj (exp wj)))
57.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
70.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify812.0ms

Counts
180 → 180
Iterations
IterNodes
done2001
1847
0321

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize20.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune17.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize52.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
0.7b
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
4.1b
(fma (- (/ 1 (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x)))
5.4b
(fma 1 wj (- (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt associate-*l*
36×*-un-lft-identity
34×times-frac
28×add-cube-cbrt
22×add-exp-log
14×add-cbrt-cube
12×prod-diff
10×distribute-rgt-in distribute-lft-in
8×pow1 prod-exp
6×distribute-rgt-out associate-*r* distribute-rgt1-in unswap-sqr
4×expm1-log1p-u frac-times sub-neg flip3-- div-exp associate-*r/ associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp
2×cbrt-undiv rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ *-commutative flip-+ fma-udef div-inv
Counts
4 → 142
Calls
4 calls:
93.0ms
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
62.0ms
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
0.0ms
(fma (- (/ 1 (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x)))
0.0ms
(fma 1 wj (- (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))))

series295.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
54.0ms
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
116.0ms
(fma (- (/ 1 (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x)))
65.0ms
(fma 1 wj (- (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))))

simplify815.0ms

Counts
154 → 154
Iterations
IterNodes
done2000
21563
1515
0188

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.6b

localize70.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (- (* wj (exp wj)) x) (exp wj))
0.7b
(/ (- (* wj (exp wj)) x) (exp wj))
4.1b
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))
5.4b
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube
6×associate-/r* add-exp-log associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
2×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
4 → 88
Calls
4 calls:
50.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
44.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
0.0ms
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))
0.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))

series320.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
62.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
124.0ms
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))
66.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))

simplify684.0ms

Counts
100 → 100
Iterations
IterNodes
done2002
2714
1245
0107

prune541.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.6b

regimes126.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.5b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample8.2s

Algorithm
intervals
Results
5.7s7469×body10240exit
1.2s6285×body80valid
619.0ms786×body320valid
210.0ms444×body640valid
161.0ms570×body160valid