Details

Time bar (total: 23.1s)

sample79.0ms

Algorithm
intervals
Results
64.0ms462×body80valid

simplify6.1s

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: 7.9b

localize44.0ms

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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.9b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite143.0ms

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:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
39.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
42.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
45.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series233.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
102.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
76.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.7s

Counts
93 → 93
Iterations
IterNodes
done5000
21801
1430
0147

prune410.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
34.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
64.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series242.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x.re x.im) (* x.im x.re))
77.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
105.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify2.3s

Counts
111 → 111
Iterations
IterNodes
done5000
23952
1754
0209

prune583.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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))
0.2b
(* (+ (* 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))

rewrite53.0ms

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:
20.0ms
(* (- x.re x.im) x.im)
7.0ms
(+ (* x.re x.im) (* x.im x.re))
24.0ms
(* (+ (* 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))

series255.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- x.re x.im) x.im)
27.0ms
(+ (* x.re x.im) (* x.im x.re))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
146.0ms
(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

prune462.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
26.8b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.8b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.8b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite60.0ms

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:
34.0ms
(* (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))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series571.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
156.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
123.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
129.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.0s

Counts
96 → 96
Iterations
IterNodes
done5009
32002
2792
1325
0130

prune569.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.3s14257×body80valid