Details

Time bar (total: 30.7s)

sample49.0ms

Algorithm
intervals
Results
38.0ms451×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
62754
51086
4382
3146
255
124
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 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))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
8.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite146.0ms

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×expm1-log1p-u flip3-+ flip3-- frac-sub flip-+ insert-posit16 log1p-expm1-u flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff difference-of-squares
Counts
4 → 83
Calls
4 calls:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
56.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
35.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series224.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x.re x.im) (* x.im x.re))
90.0ms
(- (* (- (* x.re x.re) (* x.im 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)
59.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify12.0s

Counts
95 → 95
Iterations
IterNodes
38327
21913
1434
0153

prune834.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×sub-neg fma-neg diff-log prod-diff distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
18.0ms
(* (- x.re x.im) x.re)
69.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
64.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series255.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (- x.re x.im) x.re)
88.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
85.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.6s

Counts
123 → 123
Iterations
IterNodes
24523
1800
0228

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
0.2b
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.2b
(* x.im (+ (* x.re x.im) (* x.im x.re)))
38.9b
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
2×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
19.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
18.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
25.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
24.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
45.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
33209
2775
1213
086

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:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite154.0ms

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×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 174
Calls
4 calls:
72.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
24.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
22.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
29.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series724.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
203.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
160.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
179.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify2.5s

Counts
186 → 186
Iterations
IterNodes
34790
21173
1444
0257

prune3.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
433
333
228
122
014

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.3s14460×body80valid