Details

Time bar (total: 21.2s)

sample70.0ms

Algorithm
intervals
Results
44.0ms481×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
73015
61214
5597
4245
3121
251
120
011

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize36.0ms

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))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite101.0ms

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
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 67
Calls
4 calls:
11.0ms
(+ (* x.re x.im) (* x.im x.re))
24.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
41.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series243.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x.re x.im) (* x.im x.re))
88.0ms
(+ (* (- (* x.re x.re) (* x.im 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)
84.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5002
21719
1406
0135

prune503.0ms

Pruning

9 alts after pruning (9 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 x.re))
0.1b
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite132.0ms

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
2×+-commutative sum-log *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 85
Calls
4 calls:
6.0ms
(+ (* x.re x.im) (* x.im x.re))
37.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
65.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series268.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* x.re x.im) (* x.im x.re))
103.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
93.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify3.7s

Counts
97 → 97
Iterations
IterNodes
done5004
24086
1713
0197

prune517.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

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))))
14.3b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.3b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.3b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite245.0ms

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* 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 → 162
Calls
4 calls:
127.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
40.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
24.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
42.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series890.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
187.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
221.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
211.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.7s

Counts
174 → 174
Iterations
IterNodes
done5001
21343
1489
0270

prune1.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x.re x.im))
10.5b
(cbrt (* (- x.re x.im) x.im))
14.3b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.3b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-div
18×associate-*l/
8×frac-times
7×cbrt-prod *-un-lft-identity flip3-+ flip3-- flip-+ flip--
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 associate-*r/ add-exp-log add-log-exp
1×distribute-lft-out
Counts
4 → 59
Calls
4 calls:
3.0ms
(cbrt (+ x.re x.im))
6.0ms
(cbrt (* (- x.re x.im) x.im))
25.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
49.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series932.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (+ x.re x.im))
332.0ms
(cbrt (* (- x.re x.im) x.im))
221.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
189.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.8s

Counts
71 → 71
Iterations
IterNodes
done5000
21137
1367
0156

prune707.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes289.0ms

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
done17
117
011

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.7s14354×body80valid