Details

Time bar (total: 13.2s)

sample44.0ms

Algorithm
intervals
Results
26.0ms457×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
51115
4335
3127
251
120
011

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize17.0ms

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.im x.re)) x.re)
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
8.2b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite78.0ms

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
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 67
Calls
4 calls:
6.0ms
(+ (* x.re x.im) (* x.im x.re))
17.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
37.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series305.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
112.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
111.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5001
22809
1418
0135

prune533.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

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
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
20.0ms
(* (- x.re x.im) x.im)
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
56.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
65.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series294.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (- x.re x.im) x.im)
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
115.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
90.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify469.0ms

Counts
108 → 108
Iterations
IterNodes
done5000
1747
0210

prune577.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (- x.re x.im) (cbrt x.im)) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
6×add-cbrt-cube associate-*r*
4×associate-*l/ add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×flip3-- associate-*l* *-commutative flip--
Counts
4 → 56
Calls
4 calls:
43.0ms
(* (* (- x.re x.im) (cbrt x.im)) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.0s

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (* (- x.re x.im) (cbrt x.im)) (cbrt x.im))
239.0ms
(cbrt x.im)
256.0ms
(cbrt x.im)
279.0ms
(cbrt x.im)

simplify753.0ms

Counts
68 → 68
Iterations
IterNodes
done5000
21168
1223
082

prune363.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
9.4b
(cbrt (* (- x.re x.im) x.im))
9.4b
(cbrt (* (- x.re x.im) x.im))
9.4b
(cbrt (* (- x.re x.im) x.im))

rewrite60.0ms

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* 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 → 72
Calls
4 calls:
21.0ms
(* (cbrt (* (- x.re x.im) x.im)) (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))
13.0ms
(cbrt (* (- x.re x.im) x.im))

series1.2s

Counts
4 → 12
Calls
4 calls:
366.0ms
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
304.0ms
(cbrt (* (- x.re x.im) x.im))
279.0ms
(cbrt (* (- x.re x.im) x.im))
261.0ms
(cbrt (* (- x.re x.im) x.im))

simplify782.0ms

Counts
84 → 84
Iterations
IterNodes
done5000
21250
1336
0137

prune509.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
321
219
117
011

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.9s14440×body80valid