Details

Time bar (total: 57.2s)

sample63.0ms

Algorithm
intervals
Results
40.0ms455×body80valid

simplify7.8s

Counts
1 → 1
Iterations
IterNodes
done5000
73015
61214
5597
4245
3121
251
120
011

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize123.0ms

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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.0b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite272.0ms

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-add insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
36.0ms
(+ (* x.re x.im) (* x.im x.re))
70.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
68.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
90.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series374.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* x.re x.im) (* x.im x.re))
147.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
54.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
131.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify4.0s

Counts
83 → 83
Iterations
IterNodes
done5001
21691
1409
0139

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize155.0ms

Local error

Found 4 expressions with local error:

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

rewrite393.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×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×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
68.0ms
(* (- x.re x.im) x.im)
124.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
66.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
118.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series385.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (- x.re x.im) x.im)
163.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
46.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
106.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify8.2s

Counts
112 → 112
Iterations
IterNodes
done5011
23938
1746
0214

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize242.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite1.8s

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:
867.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
103.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
99.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
100.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series1.0s

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
288.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
316.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
315.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify9.1s

Counts
827 → 827
Iterations
IterNodes
done5002
24307
13011
01505

prune10.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize162.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.im))
0.3b
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) 3)
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite391.0ms

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:
60.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
155.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
44.0ms
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) 3)
124.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series1.0s

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
148.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
513.0ms
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) 3)
324.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify4.5s

Counts
114 → 114
Iterations
IterNodes
done5002
22509
1711
0201

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes547.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.0s14502×body80valid