Details

Time bar (total: 2.2m)

sample232.0ms

Algorithm
intervals
Results
172.0ms230×body10240exit
22.0ms204×body80valid
7.0ms14×body640valid
7.0ms23×body320valid
4.0ms22×body160valid

simplify303.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
302.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b
(- 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))

rewrite140.0ms

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
50.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
48.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
21.0ms
(* wj (exp wj))
17.0ms
(+ (exp wj) (* wj (exp wj)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
59.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
48.0ms
(* wj (exp wj))
42.0ms
(+ (exp wj) (* wj (exp wj)))

simplify52.3s

Counts
262 → 180
Calls
262 calls:
Slowest
657.0ms
(sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
655.0ms
(fma (- (/ (sqrt (- (* wj (exp wj)) x)) (exp wj))) (/ (sqrt (- (* wj (exp wj)) x)) (+ wj 1)) (* (/ (sqrt (- (* wj (exp wj)) x)) (exp wj)) (/ (sqrt (- (* wj (exp wj)) x)) (+ wj 1))))
641.0ms
(+ wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
625.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
620.0ms
(exp (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

5.2b
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
0.0b
(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.0b
(/ x (exp wj))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
177×add-sqr-sqrt
173×*-un-lft-identity
123×times-frac
90×prod-diff
87×add-cube-cbrt
36×difference-of-squares
25×distribute-lft-out
18×distribute-lft-out--
9×associate-/l*
8×associate-/r/
7×associate-/r* add-cbrt-cube
6×add-exp-log
5×div-inv add-log-exp
4×flip3-+ flip-+
3×expm1-log1p-u pow1 fma-neg insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp flip-- associate-/l/
1×sub-neg diff-log associate--r-
Counts
3 → 196
Calls
3 calls:
Slowest
81.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
57.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
11.0ms
(/ x (exp wj))

series168.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
54.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
52.0ms
(/ x (exp wj))

simplify58.6s

Counts
335 → 205
Calls
335 calls:
Slowest
1.0s
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (cbrt (- wj (/ x (exp wj)))) (cbrt (+ 1 wj))) (/ (* (cbrt (- wj (/ x (exp wj)))) (cbrt (- wj (/ x (exp wj))))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))))))
883.0ms
(fma (- (/ (- wj (/ x (exp wj))) (+ 1 wj))) (/ 1 1) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ 1 1)))
608.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (+ (* 1 1) (- (* wj wj) (* 1 wj))) (/ (- wj (/ x (exp wj))) (+ (pow 1 3) (pow wj 3))))))
594.0ms
(/ (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))) (* (* (+ 1 wj) (+ 1 wj)) (+ 1 wj)))
585.0ms
(/ (* (* x x) x) (* (* (exp wj) (exp wj)) (exp wj)))

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

5.2b
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
1.0b
(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) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))
0.5b
(- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
8×add-log-exp
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u
2×sub-neg flip3-- fma-neg diff-log prod-diff fma-udef flip-- difference-of-squares
Counts
4 → 58
Calls
4 calls:
Slowest
40.0ms
(- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))
31.0ms
(- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))
1.0ms
(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)))))))
1.0ms
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

series694.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
222.0ms
(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)))))))
210.0ms
(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))
132.0ms
(- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))
130.0ms
(- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))

simplify10.1s

Counts
78 → 70
Calls
78 calls:
Slowest
323.0ms
(/ (exp (* (exp wj) (exp wj))) (exp (* (* wj (exp wj)) (* wj (exp wj)))))
257.0ms
(/ (exp (* (exp wj) (exp wj))) (exp (* (* wj (exp wj)) (* wj (exp wj)))))
254.0ms
(log (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))
242.0ms
(* (cbrt (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (cbrt (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))
232.0ms
(log1p (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))

prune659.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes52.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.3b

bsearch1.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
4.8s7688×body10240exit
508.0ms6238×body80valid
169.0ms826×body320valid
155.0ms492×body640valid
62.0ms519×body160valid