Details

Time bar (total: 28.7s)

sample78.0ms

Algorithm
intervals
Results
62.0ms467×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
75532
61936
5833
4340
3156
258
121
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize44.0ms

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))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite83.0ms

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))
32.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
16.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
21.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series235.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* x.re x.im) (* x.im x.re))
91.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
50.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify6.6s

Counts
80 → 80
Iterations
IterNodes
37752
21757
1399
0136

prune622.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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

rewrite164.0ms

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:
6.0ms
(+ (* x.re x.im) (* x.im x.re))
57.0ms
(- (* (+ 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)
63.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series272.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x.re x.im) (* x.im x.re))
94.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
50.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
92.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.4s

Counts
98 → 98
Iterations
IterNodes
24323
1719
0198

prune880.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))
23.7b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.7b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.7b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite70.0ms

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* 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 → 72
Calls
4 calls:
36.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
10.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
13.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series661.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
134.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
136.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
168.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify3.6s

Counts
84 → 84
Iterations
IterNodes
45014
31775
2747
1305
0124

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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))))
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)))

rewrite193.0ms

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:
108.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
37.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
24.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
18.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series755.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
193.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
203.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
219.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify2.0s

Counts
174 → 174
Iterations
IterNodes
34785
21185
1431
0251

prune2.8s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
220
120
014

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.4s14516×body80valid