Details

Time bar (total: 35.9s)

sample115.0ms

Algorithm
intervals
Results
94.0ms451×body80valid

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
62253
5958
4394
3196
288
143
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.5b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite117.0ms

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×frac-sub insert-posit16
3×flip3-+ flip-+
2×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
14.0ms
(- (* x.re x.re) (* x.im x.im))
54.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
21.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series231.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* x.re x.re) (* x.im x.im))
75.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
43.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
60.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify3.8s

Counts
86 → 86
Iterations
IterNodes
37076
21998
1662
0143

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
29.0ms
(* (- x.re x.im) x.re)
54.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
43.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series229.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (- x.re x.im) x.re)
71.0ms
(- (* (+ 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)
66.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.6s

Counts
113 → 113
Iterations
IterNodes
24989
11143
0215

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
12.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
12.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
12.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite478.0ms

Algorithm
rewrite-expression-head
Rules
2200×frac-times
2120×associate-*l/
1968×cbrt-div
738×flip3-+ flip3-- flip-+ flip--
572×associate-*r/
23×pow1
12×pow1/3
9×add-exp-log pow-prod-up
6×add-sqr-sqrt pow-plus
5×*-un-lft-identity add-cbrt-cube pow-prod-down add-cube-cbrt
4×cbrt-prod associate-*r* insert-posit16 add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 815
Calls
4 calls:
279.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
20.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
45.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
24.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series678.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
195.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
204.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
203.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify2.4s

Counts
827 → 827
Iterations
IterNodes
15873
01495

prune17.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.re))
0.3b
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) 3)
12.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
16×cbrt-div
12×add-sqr-sqrt frac-times pow1 *-un-lft-identity add-exp-log
11×add-cbrt-cube
10×flip3-+ add-cube-cbrt flip-+
9×flip3-- flip--
8×cube-div
7×associate-*l*
6×associate-*r/
4×unpow-prod-down cube-prod associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×cbrt-prod pow-unpow
2×pow-pow pow1/3 *-commutative
1×cube-mult pow-to-exp unpow3 pow-exp distribute-lft-out rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 102
Calls
4 calls:
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
42.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
22.0ms
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) 3)
31.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series567.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
93.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
252.0ms
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) 3)
172.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify870.0ms

Counts
114 → 114
Iterations
IterNodes
22884
1869
0186

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
216
116
011

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.3s14340×body80valid