Details

Time bar (total: 47.8s)

sample91.0ms

Algorithm
intervals
Results
75.0ms455×body80valid

simplify310.0ms

Calls
1 calls:
Slowest
308.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize48.0ms

Local error

Found 4 expressions with local error:

7.3b
(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0b
(+ (* x.re x.im) (* x.im x.re))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
7×associate-*l*
6×associate-*r*
5×flip3-+ flip-+
4×expm1-log1p-u frac-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Calls
4 calls:
Slowest
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
28.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
10.0ms
(+ (* x.re x.im) (* x.im x.re))

series259.0ms

Calls
4 calls:
Slowest
121.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
83.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
22.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify8.3s

Calls
46 calls:
Slowest
1.6s
(* (+ (* (* x.re x.re) (* x.re x.re)) (+ (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im)))) (- (* x.re x.im) (* x.im x.re)))
516.0ms
(+ (* (* (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))) x.im) (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))) (* (+ (* x.re x.re) (* x.im x.im)) (* (+ (pow (* x.re x.im) 3) (pow (* x.im x.re) 3)) x.re)))
474.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
425.0ms
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
419.0ms
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))

prune910.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0b
(* (- x.re x.im) x.im)

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out distribute-lft-out-- difference-of-squares
Calls
4 calls:
Slowest
51.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
41.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
23.0ms
(* (- x.re x.im) x.im)

series311.0ms

Calls
4 calls:
Slowest
110.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
105.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
62.0ms
(* (- x.re x.im) x.im)
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify19.5s

Calls
89 calls:
Slowest
1.2s
(* (* (- x.re x.im) (+ x.re x.im)) (- (* x.re x.im) (* x.im x.re)))
712.0ms
(+ (* (* (+ (pow x.re 3) (pow x.im 3)) (* (- x.re x.im) x.im)) (- (* x.re x.im) (* x.im x.re))) (* (+ (* x.re x.re) (- (* x.im x.im) (* x.re x.im))) (* (- (* (* x.re x.im) (* x.re x.im)) (* (* x.im x.re) (* x.im x.re))) x.re)))
703.0ms
(* (+ (* x.re x.re) (+ (* x.im x.im) (* x.re x.im))) (- (* x.re x.im) (* x.im x.re)))
606.0ms
(* (* (+ (* x.re x.re) (- (* x.im x.im) (* x.re x.im))) (+ (* x.re x.re) (+ (* x.im x.im) (* x.re x.im)))) (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re)))))
559.0ms
(* (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im))

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0b
(* (- x.re x.im) x.im)
0.0b
(+ (* x.re x.im) (* x.im x.re))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log fma-def flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Calls
4 calls:
Slowest
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
19.0ms
(* (- x.re x.im) x.im)
15.0ms
(+ (* x.re x.im) (* x.im x.re))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series241.0ms

Calls
4 calls:
Slowest
120.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
57.0ms
(* (- x.re x.im) x.im)
38.0ms
(+ (* x.re x.im) (* x.im x.re))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify3.7s

Calls
36 calls:
Slowest
441.0ms
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
411.0ms
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
399.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
389.0ms
(* (- (pow x.re 3) (pow x.im 3)) x.im)
367.0ms
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))

prune795.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))
0.5b
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
24.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
5.0ms
(cbrt (- x.re x.im))
3.0ms
(cbrt (- x.re x.im))
3.0ms
(cbrt (- x.re x.im))

series788.0ms

Calls
4 calls:
Slowest
208.0ms
(cbrt (- x.re x.im))
208.0ms
(cbrt (- x.re x.im))
206.0ms
(cbrt (- x.re x.im))
165.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))

simplify6.2s

Calls
101 calls:
Slowest
613.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 x.re)))))
541.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 x.re)))))
515.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 x.re)))))
479.0ms
(- (exp (* 1/3 (+ (log x.im) (log -1)))) (+ (* 1/3 (* x.re (exp (* 1/3 (- (log -1) (* 2 (log x.im))))))) (* 1/9 (* (pow x.re 2) (exp (* 1/3 (- (log -1) (* 5 (log x.im)))))))))
454.0ms
(- (exp (* 1/3 (+ (log x.im) (log -1)))) (+ (* 1/3 (* x.re (exp (* 1/3 (- (log -1) (* 2 (log x.im))))))) (* 1/9 (* (pow x.re 2) (exp (* 1/3 (- (log -1) (* 5 (log x.im)))))))))

prune1.5s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14370×body80valid