Details

Time bar (total: 40.4s)

sample103.0ms

Algorithm
intervals
Results
84.0ms456×body80valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
74371
61764
5723
4268
3110
250
123
011

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

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

rewrite80.0ms

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×expm1-log1p-u frac-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
20.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series274.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x.re x.im) (* x.im x.re))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
123.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
94.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify18.1s

Counts
93 → 93
Iterations
IterNodes
38178
21845
1428
0147

prune892.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×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 insert-posit16 log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
31.0ms
(* (- x.re x.im) x.im)
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
59.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
67.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series278.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (- x.re x.im) x.im)
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
98.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
104.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
24186
1785
0222

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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))))
15.1b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.1b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.1b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite242.0ms

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×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 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 → 174
Calls
4 calls:
114.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
30.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
42.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
48.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series813.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
209.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
212.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
192.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify2.2s

Counts
186 → 186
Iterations
IterNodes
35345
21315
1499
0276

prune3.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
10.1b
(cbrt (* (- x.re x.im) x.im))
10.1b
(cbrt (* (- x.re x.im) x.im))
10.1b
(cbrt (* (- x.re x.im) x.im))

rewrite63.0ms

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×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 84
Calls
4 calls:
27.0ms
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
6.0ms
(cbrt (* (- x.re x.im) x.im))
12.0ms
(cbrt (* (- x.re x.im) x.im))
15.0ms
(cbrt (* (- x.re x.im) x.im))

series1.3s

Counts
4 → 12
Calls
4 calls:
380.0ms
(* (cbrt (* (- x.re x.im) x.im)) (cbrt (* (- x.re x.im) x.im)))
313.0ms
(cbrt (* (- x.re x.im) x.im))
301.0ms
(cbrt (* (- x.re x.im) x.im))
313.0ms
(cbrt (* (- x.re x.im) x.im))

simplify1.1s

Counts
96 → 96
Iterations
IterNodes
32305
2858
1340
0143

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
226
126
019

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14568×body80valid