Details

Time bar (total: 17.5s)

sample71.0ms

Algorithm
intervals
Results
44.0ms489×body80valid

simplify1.6s

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize32.0ms

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))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.0b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite99.0ms

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-+ 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 → 69
Calls
4 calls:
11.0ms
(- (* x.re x.re) (* x.im x.im))
31.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
27.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series249.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* x.re x.re) (* x.im x.im))
115.0ms
(+ (* (- (* 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)
69.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.3s

Counts
81 → 81
Iterations
IterNodes
done5001
23220
1437
0138

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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

rewrite222.0ms

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:
33.0ms
(* (- x.re x.im) x.im)
65.0ms
(+ (* (+ 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)
81.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series297.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (- x.re x.im) x.im)
120.0ms
(+ (* (+ x.re x.im) (* (- x.re 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)
112.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify459.0ms

Counts
108 → 108
Iterations
IterNodes
done5001
1746
0210

prune692.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite652.0ms

Algorithm
rewrite-expression-head
Rules
2200×frac-times
2120×associate-*l/
1968×cbrt-div
738×flip3-+ flip3-- flip-+ flip--
572×associate-*r/
23×pow1
12×pow1/3
9×add-exp-log pow-prod-up
6×add-sqr-sqrt pow-plus
5×*-un-lft-identity add-cbrt-cube pow-prod-down add-cube-cbrt
4×cbrt-prod associate-*r* add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 811
Calls
4 calls:
278.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
27.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
36.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
53.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
197.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
172.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
167.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.2s

Counts
823 → 823
Iterations
IterNodes
done5001
13295
01503

prune3.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×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 → 101
Calls
4 calls:
34.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
6.0ms
(cbrt (- x.re x.im))
6.0ms
(cbrt (- x.re x.im))
7.0ms
(cbrt (- x.re x.im))

series838.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
208.0ms
(cbrt (- x.re x.im))
206.0ms
(cbrt (- x.re x.im))
217.0ms
(cbrt (- x.re x.im))

simplify894.0ms

Counts
113 → 113
Iterations
IterNodes
done5000
2993
1286
0131

prune598.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done25
325
223
121
014

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s14252×body80valid