Details

Time bar (total: 15.7s)

sample65.0ms

Algorithm
intervals
Results
53.0ms437×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2060
72060
61214
5597
4245
3121
251
120
011

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize50.0ms

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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.7b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite108.0ms

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-add flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 73
Calls
4 calls:
7.0ms
(- (* x.re x.re) (* x.im x.im))
20.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
49.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series260.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* x.re x.re) (* x.im x.im))
102.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
73.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.4s

Counts
85 → 85
Iterations
IterNodes
done2002
32002
21674
1418
0142

prune448.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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

rewrite168.0ms

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:
25.0ms
(* (- x.re x.im) x.im)
55.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
65.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series274.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- x.re x.im) x.im)
105.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
81.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.1s

Counts
112 → 112
Iterations
IterNodes
done2004
22004
1746
0214

prune543.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
139.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
32.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
29.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
40.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series668.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
199.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
151.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
143.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.4s

Counts
178 → 178
Iterations
IterNodes
done2013
32013
21362
1491
0272

prune1.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x.re x.im))
10.4b
(cbrt (* (- x.re x.im) x.im))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-div
18×associate-*l/
8×frac-times
7×cbrt-prod *-un-lft-identity flip3-+ flip3-- flip-+ flip--
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 associate-*r/ add-exp-log insert-posit16 add-log-exp
1×distribute-lft-out
Counts
4 → 63
Calls
4 calls:
5.0ms
(cbrt (+ x.re x.im))
12.0ms
(cbrt (* (- x.re x.im) x.im))
44.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
21.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series799.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt (+ x.re x.im))
252.0ms
(cbrt (* (- x.re x.im) x.im))
151.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
199.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.3s

Counts
75 → 75
Iterations
IterNodes
done2067
32067
21137
1370
0159

prune677.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14287×body80valid