Details

Time bar (total: 23.5s)

sample269.0ms

Algorithm
intervals
Results
207.0ms265×body10240exit
20.0ms197×body80valid
9.0ms27×body320valid
8.0ms18×body640valid
4.0ms19×body160valid

simplify961.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize34.0ms

Local error

Found 4 expressions with local error:

5.2b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
76×add-sqr-sqrt
67×add-cube-cbrt
63×prod-diff
61×times-frac
13×distribute-rgt-out distribute-rgt1-in
10×add-cbrt-cube
8×pow1 add-exp-log associate-/r/
6×associate-*r* associate-*l* add-log-exp
5×associate-/r*
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv
3×fma-neg associate-/l*
2×flip3-- div-sub pow-prod-down prod-exp *-commutative cbrt-unprod flip-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp distribute-lft-out-- associate--r-
Counts
4 → 170
Calls
4 calls:
Slowest
63.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
46.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
18.0ms
(* wj (exp wj))
18.0ms
(* wj (exp wj))

series261.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
72.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
51.0ms
(* wj (exp wj))
34.0ms
(* wj (exp wj))

simplify524.0ms

Counts
266 → 182

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* x wj))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 21
Calls
1 calls:
Slowest
27.0ms
(* 2 (* x wj))

series24.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
24.0ms
(* 2 (* x wj))

simplify288.0ms

Counts
23 → 24

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize71.0ms

Local error

Found 4 expressions with local error:

5.2b
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))))
3.4b
(fma (- (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj)))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))) (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))
0.5b
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))
0.5b
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
156×add-sqr-sqrt
140×times-frac
88×*-un-lft-identity
82×sqrt-prod
64×add-cube-cbrt
60×associate-*r* associate-*l*
48×add-exp-log
30×unswap-sqr
28×add-cbrt-cube
16×div-exp prod-exp
12×distribute-rgt-out distribute-rgt1-in
8×pow1 cbrt-undiv sqrt-div associate-/r/ cbrt-unprod
4×expm1-log1p-u rec-exp flip3-+ 1-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative fma-udef
Counts
4 → 228
Calls
4 calls:
Slowest
116.0ms
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))
98.0ms
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))
0.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))))
0.0ms
(fma (- (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj)))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))) (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
246.0ms
(fma (- (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj)))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))) (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))
97.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))))
76.0ms
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))
59.0ms
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))

simplify529.0ms

Counts
268 → 240

prune3.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize64.0ms

Local error

Found 4 expressions with local error:

5.2b
(fma 1 wj (- (* (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))))
3.4b
(fma (- (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj)))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))) (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))
0.5b
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))
0.5b
(* (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
94×times-frac
86×sqrt-prod
65×*-un-lft-identity
63×associate-*r*
50×add-cube-cbrt
35×add-exp-log
31×associate-*l*
25×add-cbrt-cube
15×unswap-sqr
14×sqrt-div
13×prod-exp
11×pow1
9×distribute-rgt-out div-exp distribute-rgt1-in cbrt-unprod
6×frac-times associate-*l/ associate-/r/
5×cbrt-undiv
4×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ flip-+ div-inv
2×rec-exp 1-exp *-commutative fma-udef
1×un-div-inv
Counts
4 → 185
Calls
4 calls:
Slowest
161.0ms
(* (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))
94.0ms
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))
0.0ms
(fma 1 wj (- (* (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))))
0.0ms
(fma (- (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj)))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))) (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
285.0ms
(fma (- (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj)))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))) (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))
86.0ms
(fma 1 wj (- (* (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))))
82.0ms
(* (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))) (sqrt (/ 1 (sqrt (+ (exp wj) (* wj (exp wj)))))))
58.0ms
(* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))

simplify789.0ms

Counts
213 → 197

prune3.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes84.0ms

Accuracy

0% (1.5b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch2.0ms

end0.0ms

sample9.0s

Algorithm
intervals
Results
7.3s7725×body10240exit
676.0ms6256×body80valid
268.0ms815×body320valid
230.0ms477×body640valid
127.0ms535×body160valid