Details

Time bar (total: 25.7s)

sample107.0ms

Algorithm
intervals
Results
86.0ms480×body80valid

simplify4.0s

Counts
1 → 1
Iterations
IterNodes
75608
61904
5785
4304
3150
258
121
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize22.0ms

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

rewrite105.0ms

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-sub insert-posit16
3×flip3-+ flip-+
2×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
14.0ms
(- (* x.re x.re) (* x.im x.im))
34.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
38.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series243.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* x.re x.re) (* x.im x.im))
96.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
53.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
54.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify5.9s

Counts
86 → 86
Iterations
IterNodes
310341
21724
1412
0143

prune805.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x.re x.im) x.re)
0.1b
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.re))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×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×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
16.0ms
(* (- x.re x.im) x.re)
59.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
61.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series284.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x.re x.im) x.re)
73.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
51.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
96.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.5s

Counts
113 → 113
Iterations
IterNodes
24434
1753
0215

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.im))
0.5b
(cbrt x.im)
0.5b
(cbrt x.im)
0.5b
(cbrt x.im)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×cbrt-prod
10×*-un-lft-identity add-cube-cbrt
6×pow1 associate-*r* add-exp-log
5×add-cbrt-cube associate-*l*
4×insert-posit16 add-log-exp
3×pow1/3
2×associate-*l/ unswap-sqr
1×flip3-+ distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 63
Calls
4 calls:
20.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.0s

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.im))
329.0ms
(cbrt x.im)
277.0ms
(cbrt x.im)
277.0ms
(cbrt x.im)

simplify733.0ms

Counts
75 → 75
Iterations
IterNodes
32349
2623
1176
075

prune871.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
16.1b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.1b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.1b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite203.0ms

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:
104.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
36.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
21.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
33.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series797.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
187.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
185.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
238.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify1.9s

Counts
178 → 178
Iterations
IterNodes
34648
21190
1434
0253

prune2.7s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
220
120
013

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s14466×body80valid