Details

Time bar (total: 24.7s)

sample66.0ms

Algorithm
intervals
Results
54.0ms483×body80valid

simplify6.4s

Counts
1 → 1
Iterations
IterNodes
done5000
74985
61947
5793
4286
3112
250
123
011

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize47.0ms

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)

rewrite86.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
25.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series254.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x.re x.im) (* x.im x.re))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
107.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
85.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.7s

Counts
93 → 93
Iterations
IterNodes
done5001
21878
1430
0147

prune432.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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))

rewrite132.0ms

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:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
42.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
43.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series219.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x.re x.im) (* x.im x.re))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
73.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
83.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify2.3s

Counts
111 → 111
Iterations
IterNodes
done5000
24103
1754
0209

prune560.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite85.0ms

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:
38.0ms
(* (- x.re x.im) x.im)
16.0ms
(+ (* x.re x.im) (* x.im x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series263.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (- x.re x.im) x.im)
37.0ms
(+ (* x.re x.im) (* x.im x.re))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
143.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify3.9s

Counts
86 → 86
Iterations
IterNodes
done5000
34647
2991
1284
0118

prune485.0ms

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))

rewrite498.0ms

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:
471.0ms
(* (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))

series656.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
163.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
151.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
171.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.1s

Counts
96 → 96
Iterations
IterNodes
done5002
32178
2824
1325
0130

prune529.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
321
219
117
011

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.2s14528×body80valid