Details

Time bar (total: 17.7s)

sample73.0ms

Algorithm
intervals
Results
42.0ms453×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
51689
4447
3160
258
121
011

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize27.0ms

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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.1b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite125.0ms

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*
4×flip3-+ flip3-- frac-sub flip-+ flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 68
Calls
4 calls:
12.0ms
(+ (* x.re x.im) (* x.im x.re))
46.0ms
(- (* (- (* x.re x.re) (* x.im 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)
28.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series241.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* x.re x.im) (* x.im x.re))
73.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
57.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
88.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.1s

Counts
80 → 80
Iterations
IterNodes
done5001
22778
1413
0136

prune450.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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.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))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-sqr-sqrt *-un-lft-identity
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
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 86
Calls
4 calls:
11.0ms
(+ (* x.re x.im) (* x.im x.re))
54.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
44.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series204.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x.re x.im) (* x.im x.re))
61.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
73.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.0s

Counts
98 → 98
Iterations
IterNodes
done5000
1723
0198

prune637.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize101.0ms

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))))
15.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite209.0ms

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:
84.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
32.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
22.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
44.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series804.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (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)))
222.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
180.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify1.7s

Counts
174 → 174
Iterations
IterNodes
done5001
21633
1436
0251

prune1.7s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))
0.6b
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
35.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

series807.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (+ x.re x.im))
208.0ms
(cbrt (+ x.re x.im))
214.0ms
(cbrt (+ x.re x.im))
218.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

simplify2.0s

Counts
107 → 107
Iterations
IterNodes
done5001
21132
1278
0116

prune690.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
320
218
116
011

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s14556×body80valid