Details

Time bar (total: 22.9s)

sample92.0ms

Algorithm
intervals
Results
73.0ms451×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
72976
61158
5553
4222
3115
251
120
011

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize47.0ms

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

rewrite92.0ms

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:
8.0ms
(- (* x.re x.re) (* x.im x.im))
24.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
23.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series223.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* x.re x.re) (* x.im x.im))
77.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
71.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify5.7s

Counts
85 → 85
Iterations
IterNodes
39183
21766
1418
0142

prune800.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

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))

rewrite171.0ms

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:
22.0ms
(* (- x.re x.im) x.im)
67.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
43.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series265.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (- x.re x.im) x.im)
87.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
97.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
24354
1746
0214

prune943.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
10.2b
(cbrt (* (- x.re x.im) x.im))
10.2b
(cbrt (* (- x.re x.im) x.im))
10.2b
(cbrt (* (- x.re x.im) x.im))

rewrite55.0ms

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×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 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 → 76
Calls
4 calls:
23.0ms
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
7.0ms
(cbrt (* (- x.re x.im) x.im))
12.0ms
(cbrt (* (- x.re x.im) x.im))
12.0ms
(cbrt (* (- x.re x.im) x.im))

series1.6s

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
334.0ms
(cbrt (* (- x.re x.im) x.im))
686.0ms
(cbrt (* (- x.re x.im) x.im))
319.0ms
(cbrt (* (- x.re x.im) x.im))

simplify943.0ms

Counts
88 → 88
Iterations
IterNodes
32123
2791
1327
0139

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x.re x.im))
10.2b
(cbrt (* (- x.re x.im) x.im))
10.2b
(cbrt (* (- x.re x.im) x.im))
15.4b
(cbrt (* (* (- x.re x.im) x.im) (+ x.im x.re)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-div
12×associate-*l/
7×cbrt-prod *-un-lft-identity
5×add-sqr-sqrt flip3-- add-cube-cbrt flip--
4×frac-times pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 add-log-exp
2×associate-*r/
1×distribute-lft-out
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (+ x.re x.im))
10.0ms
(cbrt (* (- x.re x.im) x.im))
10.0ms
(cbrt (* (- x.re x.im) x.im))
44.0ms
(cbrt (* (* (- x.re x.im) x.im) (+ x.im x.re)))

series964.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (+ x.re x.im))
275.0ms
(cbrt (* (- x.re x.im) x.im))
318.0ms
(cbrt (* (- x.re x.im) x.im))
171.0ms
(cbrt (* (* (- x.re x.im) x.im) (+ x.im x.re)))

simplify1.9s

Counts
69 → 69
Iterations
IterNodes
35327
21232
1411
0169

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
231
131
022

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.6s14419×body80valid