Details

Time bar (total: 35.6s)

sample70.0ms

Algorithm
intervals
Results
54.0ms456×body80valid

simplify2.3s

Counts
1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize26.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (- (* 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))

rewrite118.0ms

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
41.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
34.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms
(+ (* x.re x.im) (* x.im x.re))

series232.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(+ (* (- (* 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)
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
29.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify635.0ms

Counts
83 → 83

prune785.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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 x.re))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
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 sum-log *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 89
Calls
4 calls:
Slowest
63.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
42.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.0ms
(+ (* x.re x.im) (* x.im x.re))

series253.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
98.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
25.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.5s

Counts
101 → 101

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

12.5b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.5b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.5b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 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
Counts
4 → 91
Calls
4 calls:
Slowest
36.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series589.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
214.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
137.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
125.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
112.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify758.0ms

Counts
103 → 103

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

14.4b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.4b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.4b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
0.2b
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
2200×frac-times
2120×associate-*l/
1968×cbrt-div
738×flip3-+ flip3-- flip-+ flip--
572×associate-*r/
23×pow1
12×pow1/3
9×add-exp-log pow-prod-up
6×add-sqr-sqrt pow-plus
5×*-un-lft-identity add-cbrt-cube pow-prod-down add-cube-cbrt
4×cbrt-prod associate-*r* insert-posit16 add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 815
Calls
4 calls:
Slowest
297.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
43.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
43.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
42.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series682.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
188.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
178.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
100.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))

simplify3.1s

Counts
827 → 827

prune18.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch5.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.1s14476×body80valid