Details

Time bar (total: 16.1s)

sample91.0ms

Algorithm
intervals
Results
73.0ms455×body80valid

simplify2.0s

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize28.0ms

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)
7.0b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite70.0ms

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 insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
20.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
22.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series231.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x.re x.im) (* x.im x.re))
83.0ms
(+ (* (- (* 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)
100.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.9s

Counts
83 → 83
Iterations
IterNodes
done5000
22713
1422
0139

prune453.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

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

rewrite173.0ms

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
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
29.0ms
(* (- x.re x.im) x.im)
49.0ms
(+ (* (+ x.re x.im) (* (- x.re 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.im) (* (- x.re x.im) x.im))

series275.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (- x.re x.im) x.im)
112.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
75.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.0s

Counts
112 → 112
Iterations
IterNodes
done5001
1750
0214

prune686.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 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 → 99
Calls
4 calls:
2.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
31.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

series832.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt (+ x.re x.im))
194.0ms
(cbrt (+ x.re x.im))
209.0ms
(cbrt (+ x.re x.im))
234.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

simplify1.1s

Counts
111 → 111
Iterations
IterNodes
done5001
21127
1280
0118

prune768.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-div
33×cbrt-prod
32×*-un-lft-identity
22×add-sqr-sqrt
14×flip3-+ add-cube-cbrt flip-+
11×pow1
9×pow1/3 swap-sqr
8×frac-times distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×add-cbrt-cube associate-*l/ associate-*r/ insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
23.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
8.0ms
(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))

series992.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (+ x.re x.im))
184.0ms
(cbrt (+ x.re x.im))
222.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
392.0ms
(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))

simplify1.2s

Counts
114 → 114
Iterations
IterNodes
done5000
21313
1364
0161

prune859.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes251.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
321
219
117
011

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14502×body80valid