Details

Time bar (total: 25.1s)

sample54.0ms

Algorithm
intervals
Results
42.0ms481×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
72992
61223
5597
4245
3121
251
120
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize33.0ms

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)
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite97.0ms

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:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
28.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
29.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series238.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
99.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
77.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify6.4s

Counts
83 → 83
Iterations
IterNodes
38079
21789
1407
0139

prune860.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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

rewrite142.0ms

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 insert-posit16
2×+-commutative sum-log *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 89
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
61.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
50.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series315.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x.re x.im) (* x.im x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
124.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
115.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.3s

Counts
101 → 101
Iterations
IterNodes
24093
1716
0201

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube 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 → 77
Calls
4 calls:
8.0ms
(* (cbrt x.re) (cbrt x.re))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series1.2s

Counts
4 → 12
Calls
4 calls:
357.0ms
(* (cbrt x.re) (cbrt x.re))
277.0ms
(cbrt x.re)
272.0ms
(cbrt x.re)
315.0ms
(cbrt x.re)

simplify1.1s

Counts
89 → 89
Iterations
IterNodes
42788
3812
2309
1132
063

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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))))
16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
128.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
41.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
42.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
29.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series738.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
171.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
198.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
163.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify2.5s

Counts
178 → 178
Iterations
IterNodes
35366
21300
1486
0272

prune2.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
220
120
013

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.3s14464×body80valid