Details

Time bar (total: 14.2s)

sample27.0ms

Algorithm
intervals
Results
14.0ms442×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 5 (160.0ms)

IterNodesCost
01119
12019
24517
310817
424513
562311
6134611
7374011
done500111

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

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)
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.2b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite118.0ms

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))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
21.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series182.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x.re x.im) (* x.im x.re))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
71.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
64.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.2s

Counts
79 → 79
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01351507
13981393
216931075
done5000951

prune205.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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

rewrite123.0ms

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:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
40.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
48.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series385.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x.re x.im) (* x.im x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
273.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
69.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify2.4s

Counts
97 → 97
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01972664
17022442
236651942
done50011514

prune241.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x.re (* x.im (+ x.re x.re)))) (cbrt (* x.re (* x.im (+ x.re x.re)))))
26.0b
(cbrt (* x.re (* x.im (+ x.re x.re))))
26.0b
(cbrt (* x.re (* x.im (+ x.re x.re))))
26.0b
(cbrt (* x.re (* x.im (+ x.re x.re))))

rewrite105.0ms

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:
39.0ms
(* (cbrt (* x.re (* x.im (+ x.re x.re)))) (cbrt (* x.re (* x.im (+ x.re x.re)))))
20.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))
23.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))
20.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))

series510.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (cbrt (* x.re (* x.im (+ x.re x.re)))) (cbrt (* x.re (* x.im (+ x.re x.re)))))
106.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))
147.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))
109.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))

simplify1.4s

Counts
84 → 84
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01211434
12721200
26871004
31878837
done5000793

prune248.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.re)
14.3b
(cbrt (* (* x.re x.im) 2))
26.0b
(cbrt (* x.re (* x.im (+ x.re x.re))))
26.0b
(cbrt (* x.re (* x.im (+ x.re x.re))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-*r/
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
2×flip3-+ flip-+
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt x.re)
12.0ms
(cbrt (* (* x.re x.im) 2))
23.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))
21.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))

series504.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x.re)
99.0ms
(cbrt (* (* x.re x.im) 2))
110.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))
109.0ms
(cbrt (* x.re (* x.im (+ x.re x.re))))

simplify2.3s

Counts
54 → 54
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0103552
1224508
2463441
31126400
43519384
done5000381

prune217.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11719
done1719

end0.0ms

sample762.0ms

Algorithm
intervals
Results
469.0ms14197×body80valid