Details

Time bar (total: 2.0m)

sample265.0ms

Algorithm
intervals
Results
213.0ms265×body10240exit
17.0ms189×body80valid
8.0ms31×body320valid
8.0ms18×body640valid
5.0ms21×body160valid

simplify268.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
268.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize34.0ms

Local error

Found 4 expressions with local error:

5.0b
(- 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))

rewrite123.0ms

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
52.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
51.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
10.0ms
(* wj (exp wj))
8.0ms
(+ (exp wj) (* wj (exp wj)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
74.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
54.0ms
(* wj (exp wj))
45.0ms
(+ (exp wj) (* wj (exp wj)))

simplify38.8s

Counts
207 → 180
Calls
207 calls:
Slowest
818.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (cbrt (- (* wj (exp wj)) x)) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ (* (cbrt (- (* wj (exp wj)) x)) (cbrt (- (* wj (exp wj)) x))) (sqrt (+ (exp wj) (* wj (exp wj))))))))
635.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj)))))
612.0ms
(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))
601.0ms
(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))
578.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

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

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 3 expressions with local error:

5.0b
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))
0.0b
(/ (- wj (/ x (exp wj))) (+ wj 1))
0.0b
(/ x (exp wj))

rewrite134.0ms

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
84.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))
41.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
5.0ms
(/ x (exp wj))

series185.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
66.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
66.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))
52.0ms
(/ x (exp wj))

simplify50.7s

Counts
286 → 205
Calls
286 calls:
Slowest
571.0ms
(fma (- (/ (- (sqrt wj) (/ (sqrt x) (sqrt (exp wj)))) (+ wj 1))) (/ (+ (sqrt wj) (/ (sqrt x) (sqrt (exp wj)))) 1) (* (/ (- (sqrt wj) (/ (sqrt x) (sqrt (exp wj)))) (+ wj 1)) (/ (+ (sqrt wj) (/ (sqrt x) (sqrt (exp wj)))) 1)))
522.0ms
(fma (- (/ (- wj (/ x (exp wj))) (+ wj 1))) (/ 1 1) (* (/ (- wj (/ x (exp wj))) (+ wj 1)) (/ 1 1)))
519.0ms
(fma (- (+ (* wj wj) (- (* 1 1) (* wj 1)))) (/ (- wj (/ x (exp wj))) (+ (pow wj 3) (pow 1 3))) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (/ (- wj (/ x (exp wj))) (+ (pow wj 3) (pow 1 3)))))
497.0ms
(/ (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))) (* (* (+ wj 1) (+ wj 1)) (+ wj 1)))
465.0ms
(fma 1 wj (- (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (/ (- wj (/ x (exp wj))) (+ (pow wj 3) (pow 1 3))))))

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

5.0b
(- wj (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))))
0.5b
(/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))
0.0b
(fma (exp wj) wj (exp wj))
0.0b
(* wj (exp wj))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
51×*-un-lft-identity
49×add-cube-cbrt
39×prod-diff
37×times-frac
8×add-cbrt-cube
7×add-exp-log
6×pow1 add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv
3×associate-/r* fma-neg associate-*r* associate-*l* associate-/l*
2×flip3-- div-sub flip-- difference-of-squares associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 126
Calls
4 calls:
Slowest
38.0ms
(/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))
29.0ms
(- wj (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))))
18.0ms
(* wj (exp wj))
0.0ms
(fma (exp wj) wj (exp wj))

series252.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(- wj (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))))
54.0ms
(* wj (exp wj))
53.0ms
(/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))
52.0ms
(fma (exp wj) wj (exp wj))

simplify21.4s

Counts
137 → 138
Calls
137 calls:
Slowest
637.0ms
(fma (- (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))))) (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))) (* (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))) (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))))))
581.0ms
(fma (- (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))))) (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))) (* (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))) (sqrt (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))))))
521.0ms
(fma (- (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj)))) 1 (* (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))) 1))
490.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))) 1)))
456.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (- (* wj (exp wj)) x) (fma (exp wj) wj (exp wj))) (/ 1 1))))

prune817.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes53.0ms

Accuracy

0% (1.7b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch1.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
4.1s7671×body10240exit
428.0ms762×body320valid
420.0ms6275×body80valid
150.0ms501×body640valid
129.0ms544×body160valid