Details

Time bar (total: 6.0m)

sample216.0ms

Algorithm
intervals
Results
168.0ms263×body10240exit
17.0ms194×body80valid
8.0ms32×body320valid
7.0ms16×body640valid
3.0ms18×body160valid

simplify227.0ms

Calls
1 calls:
Slowest
227.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize38.0ms

Local error

Found 4 expressions with local error:

5.1b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.3b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
583×*-un-lft-identity
461×add-sqr-sqrt
309×times-frac
249×prod-diff
227×add-cube-cbrt
122×associate-*r*
116×distribute-rgt-out
92×difference-of-squares
91×distribute-lft-out--
80×associate-*l*
58×distribute-rgt1-in distribute-lft-out
47×unswap-sqr
12×add-exp-log
11×associate-/r*
10×add-cbrt-cube
8×pow1 associate-/r/
7×associate-/l*
6×add-log-exp
4×expm1-log1p-u flip3-+ prod-exp flip-+ insert-posit16 log1p-expm1-u div-inv
3×fma-neg
2×flip3-- div-sub pow-prod-down *-commutative cbrt-unprod flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp associate--r-
Calls
4 calls:
Slowest
141.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
115.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
10.0ms
(* wj (exp wj))
9.0ms
(* wj (exp wj))

series187.0ms

Calls
4 calls:
Slowest
67.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
54.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
33.0ms
(* wj (exp wj))
32.0ms
(* wj (exp wj))

simplify2.4m

Calls
717 calls:
Slowest
966.0ms
(fma (sqrt wj) (sqrt wj) (- (* (/ (- (* wj (exp wj)) x) (+ (* (cbrt (exp wj)) (cbrt (exp wj))) (* wj (* (cbrt (exp wj)) (cbrt (exp wj)))))) (/ 1 (cbrt (exp wj))))))
903.0ms
(/ (- (* (sqrt wj) (sqrt (exp wj))) (sqrt x)) (+ (sqrt (exp wj)) (* wj (sqrt (exp wj)))))
693.0ms
(/ (- (* (sqrt wj) (sqrt (exp wj))) (sqrt x)) (+ (exp wj) (* wj (exp wj))))
660.0ms
(fma (- (/ (- (sqrt (* wj (exp wj))) (sqrt x)) (cbrt (+ (exp wj) (* wj (exp wj)))))) (/ (+ (sqrt (* wj (exp wj))) (sqrt x)) (* (cbrt (+ (exp wj) (* wj (exp wj)))) (cbrt (+ (exp wj) (* wj (exp wj)))))) (* (/ (- (sqrt (* wj (exp wj))) (sqrt x)) (cbrt (+ (exp wj) (* wj (exp wj))))) (/ (+ (sqrt (* wj (exp wj))) (sqrt x)) (* (cbrt (+ (exp wj) (* wj (exp wj)))) (cbrt (+ (exp wj) (* wj (exp wj))))))))
652.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (sqrt (- (* wj (exp wj)) x)) (exp wj)) (/ (sqrt (- (* wj (exp wj)) x)) (+ wj 1)))))

prune4.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (fma x -2 wj) wj x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
0.0ms
(fma (fma x -2 wj) wj x)

series51.0ms

Calls
1 calls:
Slowest
51.0ms
(fma (fma x -2 wj) wj x)

simplify528.0ms

Calls
3 calls:
Slowest
206.0ms
(- (+ (pow wj 2) x) (* 2 (* x wj)))
171.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))
150.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))

prune140.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

6.7b
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
0.3b
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
728×*-un-lft-identity
535×add-sqr-sqrt
530×times-frac
432×add-cube-cbrt
414×prod-diff
337×associate-*r*
196×distribute-rgt-out
190×associate-*l*
98×distribute-rgt1-in distribute-lft-out
48×unswap-sqr
47×*-commutative
17×add-exp-log
13×add-cbrt-cube
12×associate-/l*
11×associate-/r*
8×pow1 associate-/r/
6×prod-exp add-log-exp
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv
3×fma-neg div-exp cbrt-unprod difference-of-squares
2×cbrt-undiv pow-prod-down
1×clear-num sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Calls
4 calls:
Slowest
96.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
67.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
12.0ms
(* wj (exp wj))
9.0ms
(* wj (exp wj))

series189.0ms

Calls
4 calls:
Slowest
72.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
47.0ms
(* wj (exp wj))
36.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
35.0ms
(* wj (exp wj))

simplify3.2m

Calls
1163 calls:
Slowest
873.0ms
(fma (* (cbrt wj) (cbrt wj)) (cbrt wj) (- (* (/ (* (cbrt wj) (exp wj)) (+ (exp wj) (* wj (exp wj)))) (/ (* (cbrt wj) (cbrt wj)) 1))))
828.0ms
(/ (* (sqrt wj) (sqrt (exp wj))) (+ (sqrt (exp wj)) (* wj (sqrt (exp wj)))))
789.0ms
(/ (* (sqrt wj) (exp wj)) (+ (exp wj) (* wj (exp wj))))
789.0ms
(/ (* (sqrt wj) (exp wj)) (+ (exp wj) (* wj (exp wj))))
780.0ms
(/ (* (cbrt wj) (exp wj)) (+ (exp wj) (* wj (exp wj))))

prune4.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
35×add-sqr-sqrt
33×times-frac add-cube-cbrt
23×associate-*r*
20×distribute-rgt-out
11×associate-/r*
10×distribute-rgt1-in distribute-lft-out
9×add-exp-log
8×add-cbrt-cube associate-*l*
6×pow1 add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-def associate-/l*
2×flip3-+ prod-exp associate-/r/ flip-+
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp pow-prod-down *-commutative cbrt-unprod fma-udef div-inv unswap-sqr
Calls
4 calls:
Slowest
23.0ms
(/ x (+ (exp wj) (* wj (exp wj))))
14.0ms
(+ (exp wj) (* wj (exp wj)))
9.0ms
(* wj (exp wj))
0.0ms
(fma (* wj wj) (- (* wj wj) wj) (* wj wj))

series149.0ms

Calls
4 calls:
Slowest
48.0ms
(/ x (+ (exp wj) (* wj (exp wj))))
40.0ms
(+ (exp wj) (* wj (exp wj)))
32.0ms
(fma (* wj wj) (- (* wj wj) wj) (* wj wj))
29.0ms
(* wj (exp wj))

simplify4.0s

Calls
121 calls:
Slowest
239.0ms
(+ (* (exp wj) (exp wj)) (- (* (* wj (exp wj)) (* wj (exp wj))) (* (exp wj) (* wj (exp wj)))))
237.0ms
(- (+ x (* 5/2 (* x (pow wj 2)))) (* 2 (* x wj)))
232.0ms
(* (* (* wj wj) wj) (* (* (exp wj) (exp wj)) (exp wj)))
163.0ms
(- (+ (pow wj 2) (pow wj 4)) (pow wj 3))
161.0ms
(- (+ (pow wj 2) (pow wj 4)) (pow wj 3))

prune940.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch2.0ms

end0.0ms

sample5.8s

Algorithm
intervals
Results
4.5s7607×body10240exit
448.0ms407×body640valid
406.0ms6346×body80valid
142.0ms773×body320valid
67.0ms546×body160valid