Details

Time bar (total: 35.1s)

sample46.0ms

Algorithm
intervals
Results
31.0ms346×body80valid

simplify19.0ms

Calls
1 calls:
Slowest
19.0ms
(- (* x.re y.re) (* x.im y.im))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
144×prod-diff
138×add-sqr-sqrt
84×*-un-lft-identity
79×associate-*l*
76×add-cube-cbrt
75×associate-*r*
29×unswap-sqr
25×*-commutative
12×fma-neg
distribute-lft-out-- difference-of-squares
add-log-exp
expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip--
Calls
1 calls:
Slowest
63.0ms
(- (* x.re y.re) (* x.im y.im))

series51.0ms

Calls
1 calls:
Slowest
51.0ms
(- (* x.re y.re) (* x.im y.im))

simplify23.9s

Calls
312 calls:
Slowest
265.0ms
(fma (* (sqrt x.re) (sqrt y.re)) (* (sqrt x.re) (sqrt y.re)) (- (* (cbrt (* x.im y.im)) (* (cbrt (* x.im y.im)) (cbrt (* x.im y.im))))))
215.0ms
(fma (sqrt (* x.re y.re)) (sqrt (* x.re y.re)) (- (* (cbrt (* x.im y.im)) (* (cbrt (* x.im y.im)) (cbrt (* x.im y.im))))))
207.0ms
(/ (exp (* x.re y.re)) (exp (* x.im y.im)))
199.0ms
(fma (* x.re (* (cbrt y.re) (cbrt y.re))) (cbrt y.re) (- (* (cbrt (* x.im y.im)) (* (cbrt (* x.im y.im)) (cbrt (* x.im y.im))))))
191.0ms
(fma (* (sqrt x.re) (sqrt y.re)) (* (sqrt x.re) (sqrt y.re)) (- (* (* (sqrt x.im) (sqrt y.im)) (* (sqrt x.im) (sqrt y.im)))))

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x.re y.re (- (* x.im y.im)))

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
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 x.re y.re (- (* x.im y.im)))

series59.0ms

Calls
1 calls:
Slowest
59.0ms
(fma x.re y.re (- (* x.im y.im)))

simplify46.0ms

Calls
3 calls:
Slowest
22.0ms
(- (* y.re x.re) (* y.im x.im))
21.0ms
(- (* y.re x.re) (* y.im x.im))
1.0ms
0

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b
(cbrt (fma x.re y.re (- (* x.im y.im))))
1.2b
(cbrt (fma x.re y.re (- (* x.im y.im))))
1.2b
(cbrt (fma x.re y.re (- (* x.im y.im))))
0.5b
(* (cbrt (fma x.re y.re (- (* x.im y.im)))) (cbrt (fma x.re y.re (- (* x.im y.im)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
add-cbrt-cube
swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative
Calls
4 calls:
Slowest
16.0ms
(* (cbrt (fma x.re y.re (- (* x.im y.im)))) (cbrt (fma x.re y.re (- (* x.im y.im)))))
2.0ms
(cbrt (fma x.re y.re (- (* x.im y.im))))
1.0ms
(cbrt (fma x.re y.re (- (* x.im y.im))))
1.0ms
(cbrt (fma x.re y.re (- (* x.im y.im))))

series648.0ms

Calls
4 calls:
Slowest
193.0ms
(* (cbrt (fma x.re y.re (- (* x.im y.im)))) (cbrt (fma x.re y.re (- (* x.im y.im)))))
159.0ms
(cbrt (fma x.re y.re (- (* x.im y.im))))
150.0ms
(cbrt (fma x.re y.re (- (* x.im y.im))))
146.0ms
(cbrt (fma x.re y.re (- (* x.im y.im))))

simplify5.7s

Calls
68 calls:
Slowest
434.0ms
(* (* (* (cbrt (fma x.re y.re (- (* x.im y.im)))) (cbrt (fma x.re y.re (- (* x.im y.im))))) (cbrt (fma x.re y.re (- (* x.im y.im))))) (* (* (cbrt (fma x.re y.re (- (* x.im y.im)))) (cbrt (fma x.re y.re (- (* x.im y.im))))) (cbrt (fma x.re y.re (- (* x.im y.im))))))
423.0ms
(- (exp (* 1/3 (+ (* 2 (log y.im)) (* 2 (log x.im))))) (* 2/3 (* (exp (* -1/3 (+ (log y.im) (log x.im)))) (* y.re x.re))))
323.0ms
(exp (* -1/3 (+ (log (/ -1 y.re)) (log (/ -1 x.re)))))
293.0ms
(* (fma x.re y.re (- (* x.im y.im))) (fma x.re y.re (- (* x.im y.im))))
284.0ms
(exp (* -1/3 (+ (log (/ -1 y.re)) (log (/ -1 x.re)))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch4.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10498×body80valid