Details

Time bar (total: 22.1s)

sample84.0ms

Algorithm
intervals
Results
68.0ms496×body80valid

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
75532
61936
5833
4340
3156
258
121
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 3 (* x.im x.im))
9.1b
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative insert-posit16 add-log-exp unswap-sqr
1×flip3-- flip--
Counts
2 → 41
Calls
2 calls:
27.0ms
(* 3 (* x.im x.im))
29.0ms
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

series120.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* 3 (* x.im x.im))
89.0ms
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

simplify1.8s

Counts
47 → 47
Iterations
IterNodes
32433
2626
1200
077

prune298.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 3 x.im) x.im)
9.1b
(* (- (* x.re x.re) (* (* 3 x.im) x.im)) x.re)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative insert-posit16 add-log-exp
1×flip3-- flip-- unswap-sqr
Counts
2 → 40
Calls
2 calls:
27.0ms
(* (* 3 x.im) x.im)
33.0ms
(* (- (* x.re x.re) (* (* 3 x.im) x.im)) x.re)

series131.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (* 3 x.im) x.im)
100.0ms
(* (- (* x.re x.re) (* (* 3 x.im) x.im)) x.re)

simplify2.1s

Counts
46 → 46
Iterations
IterNodes
32611
2722
1204
078

prune363.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.9b

localize49.0ms

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)
9.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite128.0ms

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×flip3-+ flip3-- frac-sub flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 72
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
45.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
41.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series239.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
81.0ms
(- (* (- (* 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)
88.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify6.2s

Counts
84 → 84
Iterations
IterNodes
38991
21740
1403
0140

prune624.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite163.0ms

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×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
58.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
67.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series266.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x.re x.im) (* x.im x.re))
91.0ms
(- (* (+ x.re x.im) (* (- x.re 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)
106.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.4s

Counts
102 → 102
Iterations
IterNodes
24315
1723
0202

prune782.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
216
116
011

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.6s14422×body80valid