Details

Time bar (total: 20.0s)

sample249.0ms

Algorithm
intervals
Results
199.0ms263×body10240exit
18.0ms212×body80valid
5.0ms19×body320valid
4.0ms9×body640valid
3.0ms18×body160valid

simplify977.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize29.0ms

Local error

Found 4 expressions with local error:

4.4b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(* wj (exp wj))

rewrite129.0ms

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:
Slowest
54.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
37.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
18.0ms
(* wj (exp wj))
17.0ms
(+ (exp wj) (* wj (exp wj)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
55.0ms
(+ (exp wj) (* wj (exp wj)))
50.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
48.0ms
(* wj (exp wj))

simplify1.2s

Counts
180 → 180

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* x wj) -2)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 21
Calls
1 calls:
Slowest
20.0ms
(* (* x wj) -2)

series21.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
21.0ms
(* (* x wj) -2)

simplify1.9s

Counts
24 → 24

prune176.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize64.0ms

Local error

Found 4 expressions with local error:

4.4b
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
2.9b
(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
0.5b
(- (exp wj) (* wj (exp wj)))
0.5b
(- (exp wj) (* wj (exp wj)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt add-log-exp
6×fma-neg prod-diff
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×sub-neg flip3-- distribute-rgt-out-- diff-log fma-udef flip--
Counts
4 → 66
Calls
4 calls:
Slowest
17.0ms
(- (exp wj) (* wj (exp wj)))
12.0ms
(- (exp wj) (* wj (exp wj)))
1.0ms
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
0.0ms
(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))

series493.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
204.0ms
(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
187.0ms
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
56.0ms
(- (exp wj) (* wj (exp wj)))
46.0ms
(- (exp wj) (* wj (exp wj)))

simplify663.0ms

Counts
78 → 78

prune939.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize73.0ms

Local error

Found 4 expressions with local error:

4.4b
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
3.4b
(fma (- (* (exp wj) (- 1 wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
0.5b
(- (exp wj) (* wj (exp wj)))
0.5b
(- (exp wj) (* wj (exp wj)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt add-log-exp
6×fma-neg prod-diff
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×sub-neg flip3-- distribute-rgt-out-- diff-log fma-udef flip--
Counts
4 → 66
Calls
4 calls:
Slowest
11.0ms
(- (exp wj) (* wj (exp wj)))
9.0ms
(- (exp wj) (* wj (exp wj)))
0.0ms
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
0.0ms
(fma (- (* (exp wj) (- 1 wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
180.0ms
(fma (- (* (exp wj) (- 1 wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
171.0ms
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
61.0ms
(- (exp wj) (* wj (exp wj)))
42.0ms
(- (exp wj) (* wj (exp wj)))

simplify860.0ms

Counts
78 → 78

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes181.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch1.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
6.5s7615×body10240exit
786.0ms6283×body80valid
303.0ms464×body640valid
233.0ms819×body320valid
122.0ms517×body160valid