Details

Time bar (total: 15.9s)

sample74.0ms

Algorithm
intervals
Results
42.0ms455×body80valid

simplify1.9s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize38.0ms

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))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite103.0ms

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:
12.0ms
(+ (* x.re x.im) (* x.im x.re))
34.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
32.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series247.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x.re x.im) (* x.im x.re))
93.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
89.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.5s

Counts
79 → 79
Iterations
IterNodes
done5000
22761
1419
0135

prune423.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

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.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))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative sum-log *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 85
Calls
4 calls:
6.0ms
(+ (* x.re x.im) (* x.im x.re))
48.0ms
(+ (* (+ x.re x.im) (* (- x.re 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)
41.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series304.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* x.re x.im) (* x.im x.re))
126.0ms
(+ (* (+ 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)
104.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5001
1715
0197

prune572.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
13.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
35.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
132.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
155.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
130.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.5s

Counts
99 → 99
Iterations
IterNodes
done5000
21071
1303
0119

prune744.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
26.3b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.3b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.3b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite49.0ms

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:
27.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series708.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
157.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
163.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
156.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
done5001
21126
1315
0124

prune589.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done25
325
223
121
014

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.7s14556×body80valid