Details

Time bar (total: 23.5s)

sample66.0ms

Algorithm
intervals
Results
46.0ms483×body80valid

simplify6.5s

Counts
1 → 1
Iterations
IterNodes
done5000
74454
61781
5723
4268
3110
250
123
011

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize37.0ms

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.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))
5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite118.0ms

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×expm1-log1p-u frac-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 81
Calls
4 calls:
9.0ms
(+ (* x.re x.im) (* x.im x.re))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
40.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
48.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series268.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x.re x.im) (* x.im x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
105.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
103.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.7s

Counts
93 → 93
Iterations
IterNodes
done5001
21810
1430
0147

prune476.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

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

rewrite196.0ms

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×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×+-commutative sum-log fma-def *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
70.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
72.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series253.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x.re x.im) (* x.im x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
91.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
106.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify2.4s

Counts
111 → 111
Iterations
IterNodes
done5000
23956
1754
0209

prune650.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log fma-def flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
32.0ms
(* (- x.re x.im) x.im)
15.0ms
(+ (* x.re x.im) (* x.im x.re))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series269.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (- x.re x.im) x.im)
33.0ms
(+ (* x.re x.im) (* x.im x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
151.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify3.4s

Counts
86 → 86
Iterations
IterNodes
done5000
33700
2926
1284
0118

prune450.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
27.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite68.0ms

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:
42.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
9.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series691.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
173.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
157.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
157.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.8s

Counts
96 → 96
Iterations
IterNodes
done5009
32002
2792
1325
0130

prune538.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.9s14528×body80valid