Details

Time bar (total: 1.9m)

sample206.0ms

Algorithm
intervals
Results
159.0ms250×body10240exit
17.0ms203×body80valid
7.0ms29×body320valid
5.0ms13×body640valid
3.0ms13×body160valid

simplify242.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
242.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize18.0ms

Local error

Found 4 expressions with local error:

3.4b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
1.2b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(* wj (exp wj))

rewrite135.0ms

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
57.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
56.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
9.0ms
(* wj (exp wj))
8.0ms
(+ (exp wj) (* wj (exp wj)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
88.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
58.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
54.0ms
(* wj (exp wj))
51.0ms
(+ (exp wj) (* wj (exp wj)))

simplify38.3s

Counts
207 → 180
Calls
207 calls:
Slowest
579.0ms
(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
553.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
540.0ms
(fma (sqrt wj) (sqrt wj) (- (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj)))))
510.0ms
(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))
506.0ms
(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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

prune23.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 3 expressions with local error:

3.4b
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
0.0b
(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.0b
(/ x (exp wj))

rewrite115.0ms

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
53.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
53.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
5.0ms
(/ x (exp wj))

series139.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
64.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))
40.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
35.0ms
(/ x (exp wj))

simplify52.2s

Counts
286 → 205
Calls
286 calls:
Slowest
754.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ 1 1))))
653.0ms
(fma (sqrt wj) (sqrt wj) (- (* (/ 1 (+ 1 wj)) (- wj (/ x (exp wj))))))
526.0ms
(/ (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))) (* (* (+ 1 wj) (+ 1 wj)) (+ 1 wj)))
521.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (+ (* 1 1) (- (* wj wj) (* 1 wj))) (/ (- wj (/ x (exp wj))) (+ (pow 1 3) (pow wj 3))))))
520.0ms
(fma (sqrt wj) (sqrt wj) (- (* (+ (* 1 1) (- (* wj wj) (* 1 wj))) (/ (- wj (/ x (exp wj))) (+ (pow 1 3) (pow wj 3))))))

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 3 expressions with local error:

3.4b
(fma (/ (- wj (/ x (exp wj))) (- 1 (* wj wj))) (+ wj -1) wj)
0.0b
(/ x (exp wj))
0.0b
(/ (- wj (/ x (exp wj))) (- 1 (* wj wj)))

rewrite42.0ms

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
34.0ms
(/ (- wj (/ x (exp wj))) (- 1 (* wj wj)))
5.0ms
(/ x (exp wj))
0.0ms
(fma (/ (- wj (/ x (exp wj))) (- 1 (* wj wj))) (+ wj -1) wj)

series184.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
72.0ms
(/ (- wj (/ x (exp wj))) (- 1 (* wj wj)))
64.0ms
(fma (/ (- wj (/ x (exp wj))) (- 1 (* wj wj))) (+ wj -1) wj)
48.0ms
(/ x (exp wj))

simplify6.0s

Counts
110 → 111
Calls
110 calls:
Slowest
616.0ms
(- (* wj wj) (* (/ x (exp wj)) (/ x (exp wj))))
480.0ms
(/ (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))) (* (* (- 1 (* wj wj)) (- 1 (* wj wj))) (- 1 (* wj wj))))
328.0ms
(/ (* (* x x) x) (* (* (exp wj) (exp wj)) (exp wj)))
255.0ms
(- (pow wj 3) (pow (/ x (exp wj)) 3))
216.0ms
(- (+ x (* 1/2 (* x (pow wj 2)))) (* x wj))

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes154.0ms

Accuracy

96.5% (0.1b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 2.2b

bsearch101.0ms

end0.0ms

sample9.0s

Algorithm
intervals
Results
6.8s7767×body10240exit
696.0ms6303×body80valid
615.0ms457×body640valid
367.0ms796×body320valid
131.0ms521×body160valid