Details

Time bar (total: 19.6s)

sample84.0ms

Algorithm
intervals
Results
55.0ms499×body80valid

simplify991.0ms

Counts
1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize45.0ms

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

rewrite88.0ms

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
34.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
20.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
7.0ms
(+ (* x.re x.im) (* x.im x.re))

series228.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
56.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
40.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify4.4s

Counts
84 → 84

prune821.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×flip3-- flip--
9×add-cube-cbrt
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×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
Slowest
67.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
44.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
30.0ms
(* (- x.re x.im) x.re)
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

series323.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
100.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
69.0ms
(* (- x.re x.im) x.re)
54.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify1.5s

Counts
113 → 113

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

23.8b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.8b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.8b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.3b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))

rewrite107.0ms

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
61.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series675.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
215.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
163.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
154.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
143.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify917.0ms

Counts
88 → 88

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))
0.4b
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×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 → 99
Calls
4 calls:
Slowest
22.0ms
(* (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))

series779.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
212.0ms
(cbrt (+ x.re x.im))
211.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
188.0ms
(cbrt (+ x.re x.im))
167.0ms
(cbrt (+ x.re x.im))

simplify2.0s

Counts
111 → 111

prune1.2s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes206.0ms

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
2.5s14566×body80valid