Details

Time bar (total: 1.4m)

sample187.0ms

Algorithm
intervals
Results
143.0ms240×body10240exit
15.0ms189×body80valid
6.0ms28×body320valid
6.0ms16×body640valid
4.0ms26×body160valid

simplify568.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
567.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize24.0ms

Local error

Found 4 expressions with local error:

6.7b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
1.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(* wj (exp wj))

rewrite107.0ms

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
47.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
35.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
13.0ms
(* wj (exp wj))
8.0ms
(+ (exp wj) (* wj (exp wj)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
55.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
51.0ms
(* wj (exp wj))
39.0ms
(+ (exp wj) (* wj (exp wj)))

simplify38.6s

Counts
207 → 180
Calls
207 calls:
Slowest
630.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
616.0ms
(fma 1 wj (- (* (/ (- (* wj (exp wj)) x) (sqrt (+ (exp wj) (* wj (exp wj))))) (/ 1 (sqrt (+ (exp wj) (* wj (exp wj))))))))
598.0ms
(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))
533.0ms
(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
529.0ms
(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

6.2b
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
1.5b
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
0.3b
(/ x (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
37×add-sqr-sqrt
35×times-frac add-cube-cbrt
33×prod-diff
11×add-cbrt-cube
10×associate-/r* distribute-rgt-out distribute-rgt1-in add-exp-log associate-/r/
8×add-log-exp
6×flip3-+ flip-+
5×div-inv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u associate-/l*
3×cbrt-undiv fma-def fma-neg div-exp
2×clear-num frac-2neg
1×+-commutative sum-log sub-neg flip3-- diff-log prod-exp cbrt-unprod flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 142
Calls
4 calls:
Slowest
31.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
24.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
16.0ms
(+ (exp wj) (* wj (exp wj)))
11.0ms
(/ x (+ (exp wj) (* wj (exp wj))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
62.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
54.0ms
(/ x (+ (exp wj) (* wj (exp wj))))
54.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
44.0ms
(+ (exp wj) (* wj (exp wj)))

simplify25.8s

Counts
152 → 154
Calls
152 calls:
Slowest
657.0ms
(fma (sqrt wj) (sqrt wj) (- (* (/ (exp wj) (cbrt (+ (exp wj) (* wj (exp wj))))) (/ wj (* (cbrt (+ (exp wj) (* wj (exp wj)))) (cbrt (+ (exp wj) (* wj (exp wj)))))))))
649.0ms
(+ (sqrt wj) (sqrt (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))
596.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (exp wj) (cbrt (+ (exp wj) (* wj (exp wj))))) (/ wj (* (cbrt (+ (exp wj) (* wj (exp wj)))) (cbrt (+ (exp wj) (* wj (exp wj)))))))))
593.0ms
(- (sqrt wj) (sqrt (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))
579.0ms
(fma (- (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 1 (* (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) 1))

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
19×add-sqr-sqrt
17×add-cube-cbrt
15×times-frac
8×add-cbrt-cube
7×add-exp-log
6×pow1 add-log-exp
5×associate-/r* distribute-rgt-out distribute-rgt1-in
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/l*
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef div-inv unswap-sqr
Counts
4 → 91
Calls
4 calls:
Slowest
21.0ms
(/ x (+ (exp wj) (* wj (exp wj))))
18.0ms
(* wj (exp wj))
17.0ms
(+ (exp wj) (* wj (exp wj)))
0.0ms
(fma (* wj wj) (- (* wj wj) wj) (* wj wj))

series200.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(/ x (+ (exp wj) (* wj (exp wj))))
53.0ms
(+ (exp wj) (* wj (exp wj)))
45.0ms
(fma (* wj wj) (- (* wj wj) wj) (* wj wj))
31.0ms
(* wj (exp wj))

simplify3.9s

Counts
69 → 103
Calls
69 calls:
Slowest
323.0ms
(+ (* (exp wj) (exp wj)) (- (* (* wj (exp wj)) (* wj (exp wj))) (* (exp wj) (* wj (exp wj)))))
301.0ms
(* (* (* wj wj) wj) (* (* (exp wj) (exp wj)) (exp wj)))
296.0ms
(- (+ x (* 5/2 (* x (pow wj 2)))) (* 2 (* x wj)))
240.0ms
(/ (* (* x x) x) (* (* (+ (exp wj) (* wj (exp wj))) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj)))))
197.0ms
(+ (* 1/2 (pow wj 3)) (+ (pow wj 2) wj))

prune897.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

72.9% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.1b

bsearch41.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
5.1s7709×body10240exit
494.0ms6227×body80valid
465.0ms568×body160valid
217.0ms454×body640valid
184.0ms839×body320valid