Details

Time bar (total: 20.6s)

sample233.0ms

Algorithm
intervals
Results
174.0ms235×body10240exit
22.0ms207×body80valid
8.0ms18×body640valid
6.0ms19×body320valid
3.0ms17×body160valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2022
62022
5815
4205
3108
252
121
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize33.0ms

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))))
3.9b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite157.0ms

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))
9.0ms
(+ (exp wj) (* wj (exp wj)))
60.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
76.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* wj (exp wj))
62.0ms
(+ (exp wj) (* wj (exp wj)))
78.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
92.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.1s

Counts
180 → 180
Iterations
IterNodes
done2001
22001
1847
0321

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (fma wj wj x) (* x (+ wj wj)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity fma-neg prod-diff add-cube-cbrt add-log-exp
2×associate--r+
1×distribute-rgt-in expm1-log1p-u pow1 sub-neg distribute-lft-in flip3-- add-cbrt-cube diff-log associate--l+ add-exp-log fma-udef insert-posit16 log1p-expm1-u flip--
Counts
1 → 24
Calls
1 calls:
9.0ms
(- (fma wj wj x) (* x (+ wj wj)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- (fma wj wj x) (* x (+ wj wj)))

simplify1.1s

Counts
27 → 27
Iterations
IterNodes
done2001
32001
2437
1134
054

prune136.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (- (* wj (exp wj)) x) (exp wj))
0.7b
(/ (- (* wj (exp wj)) x) (exp wj))
3.9b
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))
4.9b
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))

rewrite86.0ms

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:
30.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
53.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
0.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))
1.0ms
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
64.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
70.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))
123.0ms
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done2000
32000
2710
1245
0107

prune602.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (* wj (exp wj)) x) (+ wj 1))
0.0b
(* wj (exp wj))
0.7b
(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
3.9b
(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
387×times-frac
342×*-un-lft-identity
265×add-sqr-sqrt
254×add-cube-cbrt
174×prod-diff
43×distribute-lft-out
28×associate-/r/
21×associate-/l*
18×div-inv
14×flip3-+ flip-+
13×add-cbrt-cube
10×add-exp-log
7×associate-/r*
6×pow1 add-log-exp
5×div-sub
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* associate-*l* difference-of-squares associate-/l/
2×clear-num frac-2neg flip3-- flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 351
Calls
4 calls:
53.0ms
(/ (- (* wj (exp wj)) x) (+ wj 1))
24.0ms
(* wj (exp wj))
54.0ms
(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
79.0ms
(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

series591.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (- (* wj (exp wj)) x) (+ wj 1))
410.0ms
(* wj (exp wj))
58.0ms
(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
86.0ms
(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

simplify1.8s

Counts
363 → 363
Iterations
IterNodes
done2011
22011
11678
0614

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.4b

regimes165.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample8.0s

Algorithm
intervals
Results
6.1s7626×body10240exit
1.0s6273×body80valid
261.0ms456×body640valid
218.0ms796×body320valid
116.0ms553×body160valid