Details

Time bar (total: 22.8s)

sample99.0ms

Algorithm
intervals
Results
80.0ms480×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
72976
61158
5553
4222
3115
251
120
011

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

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)
5.3b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite114.0ms

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))
25.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
42.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series262.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x.re x.im) (* x.im x.re))
104.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
90.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify5.3s

Counts
83 → 83
Iterations
IterNodes
39989
21788
1410
0139

prune702.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))

rewrite145.0ms

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:
17.0ms
(* (- x.re x.im) x.im)
47.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
61.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series266.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (- x.re x.im) x.im)
97.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
88.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.5s

Counts
112 → 112
Iterations
IterNodes
24354
1746
0214

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
23.9b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.9b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.9b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
50.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series685.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
168.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
175.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
134.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.5s

Counts
88 → 88
Iterations
IterNodes
44893
31781
2770
1308
0126

prune940.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
13.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* 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 → 91
Calls
4 calls:
40.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
6.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
129.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
135.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
142.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify2.1s

Counts
103 → 103
Iterations
IterNodes
44676
31697
2737
1298
0121

prune1.5s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
217
117
011

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.3s14439×body80valid