Details

Time bar (total: 35.5s)

sample61.0ms

Algorithm
intervals
Results
38.0ms501×body80valid

simplify7.5s

Counts
1 → 1
Iterations
IterNodes
done5000
63011
51121
4383
3146
255
124
011

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize52.0ms

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))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
7×associate-*l*
6×associate-*r*
5×flip3-- flip--
4×expm1-log1p-u frac-sub log1p-expm1-u
3×flip3-+ flip-+
2×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 82
Calls
4 calls:
20.0ms
(- (* x.re x.re) (* x.im x.im))
70.0ms
(- (* (- (* 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)
57.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series336.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* x.re x.re) (* x.im x.im))
105.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
65.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
94.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify3.7s

Counts
94 → 94
Iterations
IterNodes
done5004
21784
1438
0154

prune777.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
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×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×sub-neg fma-neg diff-log prod-diff distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 107
Calls
4 calls:
48.0ms
(* (- x.re x.im) x.re)
125.0ms
(- (* (+ 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)
144.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series373.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (- x.re x.im) x.re)
114.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
68.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
108.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify4.5s

Counts
119 → 119
Iterations
IterNodes
done5000
23980
1799
0224

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*r*
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
6×associate-*l*
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u add-log-exp
2×associate-*r/ *-commutative
1×neg-mul-1 flip3-- flip3-+ distribute-rgt-neg-out flip-- flip-+ fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
42.0ms
(* (- x.re x.im) x.re)
1.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (* x.im (+ x.re x.re)) (- x.im)))
86.0ms
(* (* x.im (+ x.re x.re)) (- x.im))

series265.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* (- x.re x.im) x.re)
153.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (* x.im (+ x.re x.re)) (- x.im)))
39.0ms
(* (* x.im (+ x.re x.re)) (- x.im))

simplify2.4s

Counts
73 → 73
Iterations
IterNodes
done5001
21223
1326
0122

prune625.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

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))))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite445.0ms

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×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 170
Calls
4 calls:
191.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
64.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
66.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
92.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series1.2s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
325.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
263.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
347.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify5.5s

Counts
182 → 182
Iterations
IterNodes
done5000
34616
21119
1444
0255

prune2.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes283.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done28
428
326
220
116
010

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.8s14572×body80valid