Details

Time bar (total: 19.6s)

sample113.0ms

Algorithm
intervals
Results
93.0ms440×body80valid

simplify2.2s

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize50.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (- (* 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))

rewrite139.0ms

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)
43.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
15.0ms
(+ (* x.re x.im) (* x.im x.re))

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
103.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
89.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
25.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify532.0ms

Counts
83 → 83

prune836.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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 x.re))

rewrite174.0ms

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
71.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
50.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
13.0ms
(+ (* x.re x.im) (* x.im x.re))

series255.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
105.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
94.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
26.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.3s

Counts
101 → 101

prune954.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.4b
(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))))

rewrite69.0ms

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))))
15.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
200.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
171.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
123.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
117.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify946.0ms

Counts
103 → 103

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

13.2b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
13.2b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
13.2b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))

rewrite215.0ms

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
108.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
41.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
33.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
24.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series835.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
225.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
208.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
207.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
195.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify2.6s

Counts
178 → 178

prune2.9s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch4.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.6s14507×body80valid