Details

Time bar (total: 20.4s)

sample78.0ms

Algorithm
intervals
Results
48.0ms482×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 5 (310.0ms)

IterNodesCost
01119
12019
24517
310817
424513
562311
6134611
7374011
done500111

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize31.0ms

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
7×associate-*l*
6×associate-*r*
5×flip3-+ flip-+
4×frac-add
3×flip3-- flip--
2×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 67
Calls
4 calls:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
35.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
49.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series259.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x.re x.im) (* x.im x.re))
129.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
67.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01351507
13991393
216981127
done50011029

prune337.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt flip3-- *-un-lft-identity flip--
8×add-log-exp
7×add-cube-cbrt associate-*l*
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:
16.0ms
(+ (* x.re x.im) (* x.im x.re))
91.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
49.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
103.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series260.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
103.0ms
(+ (* (+ x.re x.im) (* (- x.re 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)
101.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify3.7s

Counts
97 → 97
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01972664
17022442
236671942
done50001514

prune378.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(+ (pow (* (* (+ x.re x.im) x.im) (- x.re x.im)) 1) (* (+ (* 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.im) (- x.re x.im))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×associate-*l/
9×*-un-lft-identity
8×associate-*r* add-log-exp
7×add-cube-cbrt
6×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in associate-*r/ sum-log *-commutative
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
17.0ms
(+ (* x.re x.im) (* x.im x.re))
36.0ms
(+ (pow (* (* (+ x.re x.im) x.im) (- x.re x.im)) 1) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
54.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
88.0ms
(* (* (+ x.re x.im) x.im) (- x.re x.im))

series295.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x.re x.im) (* x.im x.re))
94.0ms
(+ (pow (* (* (+ x.re x.im) x.im) (- x.re x.im)) 1) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
123.0ms
(* (* (+ x.re x.im) x.im) (- x.re x.im))

simplify1.5s

Counts
86 → 86
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01461394
14421260
218721040
done50001032

prune375.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x.re (* x.re (+ x.im x.im)))) (cbrt (* x.re (* x.re (+ x.im x.im)))))
23.6b
(cbrt (* x.re (* x.re (+ x.im x.im))))
23.6b
(cbrt (* x.re (* x.re (+ x.im x.im))))
23.6b
(cbrt (* x.re (* x.re (+ x.im x.im))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
83.0ms
(* (cbrt (* x.re (* x.re (+ x.im x.im)))) (cbrt (* x.re (* x.re (+ x.im x.im)))))
34.0ms
(cbrt (* x.re (* x.re (+ x.im x.im))))
23.0ms
(cbrt (* x.re (* x.re (+ x.im x.im))))
44.0ms
(cbrt (* x.re (* x.re (+ x.im x.im))))

series736.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt (* x.re (* x.re (+ x.im x.im)))) (cbrt (* x.re (* x.re (+ x.im x.im)))))
156.0ms
(cbrt (* x.re (* x.re (+ x.im x.im))))
176.0ms
(cbrt (* x.re (* x.re (+ x.im x.im))))
182.0ms
(cbrt (* x.re (* x.re (+ x.im x.im))))

simplify2.4s

Counts
84 → 84
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01211434
12731200
26771004
31858837
done5001810

prune372.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: done (5.0ms)

IterNodesCost
01321
12121
done2119

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s14401×body80valid