Details

Time bar (total: 53.7s)

sample63.0ms

Algorithm
intervals
Results
50.0ms455×body80valid

simplify184.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
183.0ms
(+ (* (- (* 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: 4.6b

localize31.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(+ (* (- (* 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))

rewrite140.0ms

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×frac-add insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
Slowest
43.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
42.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
39.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
14.0ms
(+ (* x.re x.im) (* x.im x.re))

series271.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
84.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
32.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify6.7s

Counts
45 → 83
Calls
45 calls:
Slowest
536.0ms
(* (+ (* (* 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)))
510.0ms
(+ (* (* (- (* (* 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)))
365.0ms
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
323.0ms
(* (+ (* (* 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.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re)))))
311.0ms
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))

prune899.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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)
0.2b
(+ (* (- 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)

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
20×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*
9×flip3-- add-cube-cbrt flip--
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
Slowest
65.0ms
(+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
64.0ms
(* (- x.re x.im) (* (+ x.re x.im) x.im))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms
(* (+ x.re x.im) x.im)

series261.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
89.0ms
(* (- x.re x.im) (* (+ x.re x.im) x.im))
40.0ms
(* (+ x.re x.im) x.im)
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify18.4s

Counts
88 → 112
Calls
88 calls:
Slowest
819.0ms
(+ (* (* (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* 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.im) (- x.re x.im)) (* (+ (pow (* x.re x.im) 3) (pow (* x.im x.re) 3)) x.re)))
757.0ms
(* (* (+ (* 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)))))
638.0ms
(* (* (* (+ x.re x.im) (+ x.re x.im)) (+ x.re x.im)) (* (* x.im x.im) x.im))
632.0ms
(* (- (pow x.re 3) (pow x.im 3)) (* (- (* x.re x.re) (* x.im x.im)) x.im))
572.0ms
(* (* (+ 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)))))

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

24.0b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.0b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.0b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
Slowest
31.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
12.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
10.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series651.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
189.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
172.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
153.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
137.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify10.0s

Counts
63 → 88
Calls
63 calls:
Slowest
663.0ms
(* (cbrt (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))) (cbrt (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))))
582.0ms
(* (cbrt (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))) (cbrt (- (* x.re x.im) (* x.im x.re))))
559.0ms
(* (cbrt (- (* x.re x.im) (* x.im x.re))) (cbrt (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))))
534.0ms
(* (exp (* 1/3 (+ (* 2 (log x.im)) (* 4 (log x.re))))) (pow (cbrt 2) 2))
502.0ms
(cbrt (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re)))))

prune1.1s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

8.4b
(cbrt (* (+ x.re x.im) x.im))
8.4b
(cbrt (* (+ x.re x.im) x.im))
8.4b
(cbrt (* (+ x.re x.im) x.im))
0.5b
(* (cbrt (* (+ x.re x.im) x.im)) (cbrt (* (+ x.re x.im) x.im)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
Slowest
32.0ms
(* (cbrt (* (+ x.re x.im) x.im)) (cbrt (* (+ x.re x.im) x.im)))
10.0ms
(cbrt (* (+ x.re x.im) x.im))
10.0ms
(cbrt (* (+ x.re x.im) x.im))
10.0ms
(cbrt (* (+ x.re x.im) x.im))

series895.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
250.0ms
(cbrt (* (+ x.re x.im) x.im))
242.0ms
(cbrt (* (+ x.re x.im) x.im))
209.0ms
(* (cbrt (* (+ x.re x.im) x.im)) (cbrt (* (+ x.re x.im) x.im)))
195.0ms
(cbrt (* (+ x.re x.im) x.im))

simplify8.4s

Counts
63 → 88
Calls
63 calls:
Slowest
692.0ms
(* (cbrt (* (- (* x.re x.re) (* x.im x.im)) x.im)) (cbrt (* (+ (pow x.re 3) (pow x.im 3)) x.im)))
379.0ms
(- (+ (* 2/3 (* (pow x.im 1/3) x.re)) (pow x.im 4/3)) (* 1/9 (* (pow (/ 1 (pow x.im 2)) 1/3) (pow x.re 2))))
367.0ms
(* (* (+ x.re x.im) x.im) (* (+ x.re x.im) x.im))
362.0ms
(- (+ (pow x.im 2/3) (* 1/3 (* (pow (/ 1 x.im) 1/3) x.re))) (* 1/9 (* (pow (/ 1 (pow x.im 4)) 1/3) (pow x.re 2))))
352.0ms
(- (+ (pow x.im 2/3) (* 1/3 (* (pow (/ 1 x.im) 1/3) x.re))) (* 1/9 (* (pow (/ 1 (pow x.im 4)) 1/3) (pow x.re 2))))

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14490×body80valid