Details

Time bar (total: 16.9s)

sample100.0ms

Algorithm
intervals
Results
80.0ms491×body80valid

simplify1.1s

Counts
1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize53.0ms

Local error

Found 4 expressions with local error:

6.1b
(* (- (* 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))

rewrite99.0ms

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
33.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
24.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
7.0ms
(+ (* x.re x.im) (* x.im x.re))

series216.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
75.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
70.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
36.0ms
(+ (* x.re x.im) (* x.im x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify543.0ms

Counts
84 → 84

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

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.im x.re))

rewrite167.0ms

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
81.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
51.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
14.0ms
(+ (* x.re x.im) (* x.im x.re))

series273.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
84.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
58.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
31.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.5s

Counts
102 → 102

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

25.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
25.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
25.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))

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
30.0ms
(* (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))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series697.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
229.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
168.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
159.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
140.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify1.0s

Counts
88 → 88

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x.re x.im))
0.6b
(cbrt (+ x.re x.im))
0.6b
(cbrt (+ x.re x.im))
0.5b
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

rewrite56.0ms

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
46.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
3.0ms
(cbrt (+ x.re x.im))
2.0ms
(cbrt (+ x.re x.im))
2.0ms
(cbrt (+ x.re x.im))

series813.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
228.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
199.0ms
(cbrt (+ x.re x.im))
195.0ms
(cbrt (+ x.re x.im))
191.0ms
(cbrt (+ x.re x.im))

simplify2.3s

Counts
111 → 111

prune1.5s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes237.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.2s14353×body80valid