Details

Time bar (total: 1.8m)

sample235.0ms

Algorithm
intervals
Results
180.0ms240×body10240exit
19.0ms197×body80valid
9.0ms30×body320valid
7.0ms15×body640valid
3.0ms16×body160valid

simplify658.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
658.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize34.0ms

Local error

Found 4 expressions with local error:

4.8b
(- 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))

rewrite172.0ms

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)))))
57.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
16.0ms
(* wj (exp wj))
15.0ms
(+ (exp wj) (* wj (exp wj)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
51.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
43.0ms
(+ (exp wj) (* wj (exp wj)))
30.0ms
(* wj (exp wj))

simplify39.1s

Counts
207 → 180
Calls
207 calls:
Slowest
663.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
595.0ms
(fma 1 wj (- (* (/ (sqrt (- (* wj (exp wj)) x)) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ (sqrt (- (* wj (exp wj)) x)) (sqrt (+ (exp wj) (* wj (exp wj))))))))
592.0ms
(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))
591.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
533.0ms
(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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

prune19.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 3 expressions with local error:

4.8b
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
0.0b
(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.0b
(/ x (exp wj))

rewrite131.0ms

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
57.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
56.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
10.0ms
(/ x (exp wj))

series165.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
72.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
47.0ms
(/ x (exp wj))
46.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))

simplify51.5s

Counts
286 → 205
Calls
286 calls:
Slowest
696.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ 1 1))))
652.0ms
(fma 1 wj (- (* (/ (- (sqrt wj) (sqrt (/ x (exp wj)))) (cbrt (+ 1 wj))) (/ (+ (sqrt wj) (sqrt (/ x (exp wj)))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))))))
598.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (+ (* 1 1) (- (* wj wj) (* 1 wj))) (/ (- wj (/ x (exp wj))) (+ (pow 1 3) (pow wj 3))))))
484.0ms
(fma (sqrt wj) (sqrt wj) (- (* (+ (* 1 1) (- (* wj wj) (* 1 wj))) (/ (- wj (/ x (exp wj))) (+ (pow 1 3) (pow wj 3))))))
480.0ms
(fma (- (/ (- wj (/ x (exp wj))) (+ 1 wj))) (/ 1 1) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ 1 1)))

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 3 expressions with local error:

4.8b
(fma (/ (- wj (/ x (exp wj))) (- 1 (* wj wj))) (+ wj -1) wj)
0.0b
(/ (- wj (/ x (exp wj))) (- 1 (* wj wj)))
0.0b
(/ x (exp wj))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
45×times-frac
43×*-un-lft-identity
26×difference-of-squares
24×add-cube-cbrt
9×associate-/l*
8×associate-/r*
7×add-cbrt-cube
6×add-exp-log distribute-lft-out--
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp associate-/r/ div-inv flip-- associate-/l/
1×div-sub fma-udef
Counts
3 → 102
Calls
3 calls:
Slowest
36.0ms
(/ (- wj (/ x (exp wj))) (- 1 (* wj wj)))
10.0ms
(/ x (exp wj))
0.0ms
(fma (/ (- wj (/ x (exp wj))) (- 1 (* wj wj))) (+ wj -1) wj)

series150.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(/ (- wj (/ x (exp wj))) (- 1 (* wj wj)))
58.0ms
(fma (/ (- wj (/ x (exp wj))) (- 1 (* wj wj))) (+ wj -1) wj)
28.0ms
(/ x (exp wj))

simplify4.9s

Counts
110 → 111
Calls
110 calls:
Slowest
442.0ms
(/ (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))) (* (* (- 1 (* wj wj)) (- 1 (* wj wj))) (- 1 (* wj wj))))
331.0ms
(/ (* (* x x) x) (* (* (exp wj) (exp wj)) (exp wj)))
215.0ms
(- (* wj wj) (* (/ x (exp wj)) (/ x (exp wj))))
200.0ms
(- (pow wj 3) (pow (/ x (exp wj)) 3))
154.0ms
(- (+ x (* 1/2 (* x (pow wj 2)))) (* x wj))

prune830.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes65.0ms

Accuracy

0% (1.9b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch1.0ms

end0.0ms

sample5.8s

Algorithm
intervals
Results
4.4s7772×body10240exit
492.0ms6301×body80valid
445.0ms751×body320valid
171.0ms469×body640valid
92.0ms556×body160valid