Details

Time bar (total: 21.9s)

sample72.0ms

Algorithm
intervals
Results
53.0ms433×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
61970
5833
4340
3156
258
121
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
9.4b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite165.0ms

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:
8.0ms
(- (* x.re x.re) (* x.im x.im))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
69.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
47.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series194.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* x.re x.re) (* x.im x.im))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
60.0ms
(- (* (- (* 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.re) (* x.im x.im)) x.re)

simplify1.7s

Counts
86 → 86
Iterations
IterNodes
done5002
21592
1411
0143

prune494.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

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:
42.0ms
(* (- x.re x.im) x.re)
46.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
105.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
101.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series284.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (- x.re x.im) x.re)
52.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
84.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
95.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify3.7s

Counts
113 → 113
Iterations
IterNodes
done5000
24258
1753
0215

prune528.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite88.0ms

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:
57.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
9.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
9.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
9.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series637.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
147.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
132.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
172.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify1.9s

Counts
88 → 88
Iterations
IterNodes
done5000
32066
2833
1313
0126

prune609.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
14.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite255.0ms

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:
115.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
57.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
37.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
35.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series742.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
221.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
166.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
181.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify3.6s

Counts
178 → 178
Iterations
IterNodes
done5001
34949
21215
1436
0253

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done25
125
017

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s14413×body80valid