Details

Time bar (total: 20.1s)

sample88.0ms

Algorithm
intervals
Results
70.0ms453×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5002
62852
51136
4402
3146
255
124
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.1b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite100.0ms

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:
9.0ms
(+ (* x.re x.im) (* x.im x.re))
39.0ms
(- (* (- (* 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)
26.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series575.0ms

Counts
4 → 12
Calls
4 calls:
400.0ms
(+ (* x.re x.im) (* x.im x.re))
66.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
45.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
64.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.3s

Counts
95 → 95
Iterations
IterNodes
done5004
21926
1436
0153

prune452.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

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×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff distribute-lft-out unswap-sqr
Counts
4 → 101
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
79.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
57.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series256.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x.re x.im) (* x.im x.re))
94.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
95.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify2.0s

Counts
113 → 113
Iterations
IterNodes
done5000
24279
1774
0215

prune666.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×associate-*l*
10×add-cube-cbrt
8×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-+ distribute-rgt-out count-2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×+-commutative neg-mul-1 sum-log fma-def flip3-- distribute-rgt-neg-out fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
27.0ms
(* (- x.re x.im) x.re)
7.0ms
(+ (* x.re x.im) (* x.re x.im))
35.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (- x.im))
1.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (- x.re x.im) x.re)
29.0ms
(+ (* x.re x.im) (* x.re x.im))
35.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (- x.im))
117.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))

simplify1.4s

Counts
100 → 100
Iterations
IterNodes
done5001
21356
1318
0135

prune531.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
26.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
26.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
26.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite79.0ms

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×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 84
Calls
4 calls:
36.0ms
(* (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))
18.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series712.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
180.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
172.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
174.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify2.0s

Counts
96 → 96
Iterations
IterNodes
done5000
32194
2820
1326
0130

prune534.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done28
428
323
220
116
010

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s14418×body80valid