Details

Time bar (total: 23.8s)

sample254.0ms

Algorithm
intervals
Results
205.0ms302×body10240exit
17.0ms202×body80valid
7.0ms29×body320valid
5.0ms12×body640valid
3.0ms15×body160valid

simplify990.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize32.0ms

Local error

Found 4 expressions with local error:

4.6b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.3b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(* wj (exp wj))

rewrite178.0ms

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
79.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
60.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
18.0ms
(* wj (exp wj))
16.0ms
(+ (exp wj) (* wj (exp wj)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
66.0ms
(+ (exp wj) (* wj (exp wj)))
53.0ms
(* wj (exp wj))
48.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))

simplify1.2s

Counts
180 → 180

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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
14.0ms
(* (* x wj) -2)

series23.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
23.0ms
(* (* x wj) -2)

simplify2.1s

Counts
24 → 24

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 4 expressions with local error:

4.6b
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))
4.4b
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))
0.3b
(/ (- (* wj (exp wj)) x) (exp wj))
0.3b
(/ (- (* wj (exp wj)) x) (exp wj))

rewrite72.0ms

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:
Slowest
42.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
28.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
0.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))
0.0ms
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))

series301.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
112.0ms
(fma (- (/ (- (* wj (exp wj)) x) (exp wj))) (/ 1 (+ wj 1)) (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1))))
72.0ms
(/ (- (* wj (exp wj)) x) (exp wj))
69.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (exp wj)) (/ 1 (+ wj 1)))))
48.0ms
(/ (- (* wj (exp wj)) x) (exp wj))

simplify2.6s

Counts
100 → 100

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize43.0ms

Local error

Found 4 expressions with local error:

4.6b
(fma 1 wj (- (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))))
4.4b
(fma (- (/ 1 (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x)))
0.3b
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
0.3b
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))

rewrite173.0ms

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:
Slowest
87.0ms
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
82.0ms
(* (/ 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))))
0.0ms
(fma (- (/ 1 (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(fma (- (/ 1 (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x)))
84.0ms
(fma 1 wj (- (* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))))
56.0ms
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))
44.0ms
(* (/ 1 (+ (exp wj) (* wj (exp wj)))) (- (* wj (exp wj)) x))

simplify1.8s

Counts
154 → 154

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.5b

regimes126.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch2.0ms

end0.0ms

sample8.0s

Algorithm
intervals
Results
6.4s7762×body10240exit
709.0ms6281×body80valid
257.0ms802×body320valid
163.0ms448×body640valid
116.0ms558×body160valid