Details

Time bar (total: 28.9s)

sample68.0ms

Algorithm
intervals
Results
53.0ms471×body80valid

simplify1.0s

Counts
1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize31.0ms

Local error

Found 4 expressions with local error:

6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.re)
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.0b
(+ (* x.re x.im) (* x.im x.re))

rewrite111.0ms

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*
4×flip3-+ flip3-- frac-sub flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 72
Calls
4 calls:
Slowest
40.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
33.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.0ms
(+ (* x.re x.im) (* x.im x.re))

series235.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
76.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
25.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify619.0ms

Counts
84 → 84

prune795.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-sqr-sqrt *-un-lft-identity
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
Slowest
49.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
49.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
14.0ms
(+ (* x.re x.im) (* x.im x.re))

series250.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
85.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
76.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
51.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
39.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.5s

Counts
102 → 102

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

16.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
Slowest
88.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
41.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
38.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
25.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series794.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
219.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
201.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
194.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
179.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify2.2s

Counts
178 → 178

prune2.9s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

16.4b
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
16.4b
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
16.4b
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
0.3b
(* (cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))) (cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))))

rewrite684.0ms

Algorithm
rewrite-expression-head
Rules
1330×associate-*l/
738×cbrt-div
656×frac-sub
652×frac-times
574×flip3-+ flip-+
287×flip3-- flip--
182×associate-*r/
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 491
Calls
4 calls:
Slowest
486.0ms
(* (cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))) (cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))))
65.0ms
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
53.0ms
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
43.0ms
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))

series799.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
229.0ms
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
200.0ms
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
200.0ms
(* (cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))) (cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))))
170.0ms
(cbrt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)))

simplify2.9s

Counts
503 → 503

prune9.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch3.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.6s14524×body80valid